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# Game Theory - Science topic

Explore the latest questions and answers in Game Theory, and find Game Theory experts.

Questions related to Game Theory

There are many game theory algorithms , and many of them are used in the field of image processing. But how can it be used for image enhancement. And which algorithm will be more suitable for this job.

Do we know theoretical models how to share benefits between a focal company and for instance 3 tier 1 supplier's using a supply chain finance programme?

so what is ‘fair’

for instance there is a net saving of 1.5 euro using a SCF reverse factoring programme. Is the following split up fair or not, and why from a theoretical point of view:

€ 0.3 to the focal company and 3 times € 0.4 to the (3) tier 1 suppliers

Game theory is a very promising technique to achieve optimal outcomes and can be applied to almost all concepts. I am trying to explore game theory for future purposes. However, as a beginner, I couldn't get very good resources regarding game theory.

Please share your resources (i.e., video or blog tutorial, research paper) regarding game theory, which covers the following things.

1. How to apply game theory?

2. How to prove optimal gain after applying game theory, (e.g., proving Nash equilibrium).

3. What are the state-of-the-art game theory techniques?

Thanks in advance.

Hello, most of variables in a game formulation are matrices , maybe cramer's Rule can solve NE in a linear object. however, i want to know are there some methods in games' solving using matrix theory. Preferably some papers or phrases, and source code.

Thank you.

Didactic methods based on

**are included in the new***computer games***. Therefore, education systems should be improved in such a way as to make the most of the techniques known for the current technological progress known as***education 4.0***.***Industry 4.0*On the other hand, as part of the technological revolution of Industry 4.0, other technologies are also being developed that should be effectively implemented into modern education tools so that education systems can be improved and adapted to new technologies that are currently being dynamically developed and implemented in industry. In addition, these

**Industry 4.0 should also enrich the work of scientists in research laboratories of universities and schools. Scientific research conducted in the field of new technologies, innovations, etc. should also be correlated with Industry 4.0.***new technologies*Apparently, we are now living in the era of the fourth technological revolution, known as Industry 4.0.

The previous three technological revolutions:

1. The industrial revolution of the eighteenth and nineteenth centuries, determined mainly by the industrial application of the invention of a steam engine.

2. Electricity era of the late nineteenth century and early twentieth century.

3. The IT revolution of the second half of the twentieth century determined by computerization, the widespread use of the Internet and the beginning of the development of robotization.

The current fourth technological revelation, known as Industry 4.0, is motivated by the development of the following factors:

- artificial intelligence,

- cloud computing,

- machine learning,

- Big Data database technologies,

- Internet of Things.

On the basis of the development of these IT instruments and technologies, business analytics of companies such as Business Intelligence and the above-mentioned areas have been dynamically developing in recent years.

The technological revolution described as Industry 4.0 is progressing more and more dynamically. The reforms in the school system should follow this progress, so that modern education 4.0 would be fully adapted and correlated with the progress of Industry 4.0.

The technological revolution Industry 4.0 is carried out so quickly that education systems and fields of study, teaching methods are adapted to these changes often with a significant delay.

On the other hand, research conducted in research centers at universities should support the creation of

**for the needs of industry 4.0.***new innovations in technological solutions*Therefore, the education system should be improved in such a way as to create as much synergy and correlation as possible between the current technological revolution of Industry 4.0 and the reformed systems of new education 4.0.

One of these areas of new teaching techniques are the above-mentioned

**. In many training centers, for example in the field of training pilots, drivers, cosmonauts, aircraft controllers, etc., simulators that technologically use modern computer games are used. Computer games should therefore be used in the process of improving didactic techniques in education systems 4.0.***computer games*Therefore, I am asking you with the following query: Can

**be used in the process of improving teaching techniques in 4.0 education systems?***computer games*Please,

**, comments. I invite you to the discussion.***answer*There are some methods to get the NE，i have used the backward induction with Fixed point theorem in my paper. Now i wanna know how to get it with DRL.Thanks.

I am stuck in a problem where there are two firms A and B. Firm A sells two vertically differentiated products, X & Y. Firm B, on the other hand, sells a product Z which is also vertically differentiated with X but is horizontally differentiated with Y. Now, I am looking at references that have modeled such a scenario using utility functions that means something that has combined the works of Hotelling (1929) and Mussa and Rosen (1978).

_{Colonel (retired) Oliver G. Haywood suggested in his brilliant 1954 article, “Military}

_{Decisions and Game Theory” that game theory techniques were relevant to preparing the military}

_{commander's estimate of the situation. Colonel Haywood demonstrated the utility of game theory by analyzing two World War II military operations. In each case, he examined the various friendly courses of action and compared them with enemy courses of action to determine the value of the predicted outcome. He concluded that military decision-making doctrine was similar to solving two-person zero-sum games. Colonel Haywood’s assertion encouraged the operations research community to develop quantitative methods to enhance decision-making.}

what procedure and data should I use ?

how to structure the empirical study ?

Do you think artificial intelligence will be implemented for computer games?

What can be the effects of artificial intelligence implemented for computer games?

Please, answer, comments.

I invite you to the discussion.

Best wishes

Theoretical physics is very competitive when solutions have commercial value. For example, the race to produce the first solid state transistor or the atomic bomb. Neither application has commercial value outside a laboratory where theoretical models can be tested, effective designs produced, and an effective solution is determined based on cost to benefit analysis.

Can theoretical physics outside commercial value and experimental test be described by cooperative game theory? For example, many Grand Unification Theories if not all have no real commercial value. Because each approach is funded without commercial expectation or testable results, has the survival of these approaches become an exercise in cooperative game theory where preserving ones financial state in public funding has become more important than actually solving the problem the practitioners promote as being critical to our understanding of how the world works.

I am considering as research an estimate of the equilibrium between supply and demand of pedagogical training, considering how the government makes a decision to offer (or not) pedagogical training to teachers, and, concomitantly, how is the decision making of teachers in participate (or not) in pedagogical training. I thought about doing this using game theory, but I'm not sure what kind of model I should use, or what I should consider to determine that model. Has anyone worked with something similar and could give me any suggestions?

Can game theory be applied to human-computer interaction? E. g., by assuming that the computer and the human are trying to fulfill some objects and they compete and co-operate to gain best payoffs. Is there any such research work already?

Are there engineering problems which can be modelled as Bi-Matrix Games?

#Matrix Game Theory

#Lemke-Howson Algorithm

#Engineering Applications

#Nash Equilibria

In economics and biology, the terms "conditional cooperation" and "indirect reciprocity" are used to describe behavior, where subjects condition their behavior in stage t of a repeated game on the opponent's reputation (see Bolton, Katok, Ockenfels / J Pub Econ 2006), or where subjects play a one-shot game and condition their behavior on the opponent's expected behavior (see Fischbacher, Gächter, Fehr / Economic Letters 2001). I’m wondering whether there is a difference between "conditional cooperation" and "indirect reciprocity," or whether these terms are interchangeable?

The use of

*at work and education is growing and will grow. Computer game technologies are distributed in parallel to applications in simulators of various means of transport and machines.***computer games**Please reply

I invite you to the discussion

Thank you very much

Best wishes

There are many papers, books that say Game Theory can be applied in Business, but I could not find any paper which takes the real data and applied GT models. Of course, there are some examples like Apple Vs Samsung, Intel Vs AMD, but the payoffs are not taken from the company's real data (only assumed numbers). I would be happy if you could suggest papers or case studies that analyzed real data applying the model of Game Theory.

"[...] We saw that unacceptability and ties are a major source of intractability when computing Pareto optimal outcomes. In some cases, checking whether a given partition is Pareto optimal can be significantly harder than finding one.[...]" (Aziz et al., 2013)

So now I have a small question. Is it possible to conclude that all coalition games have a Pareto optimal solution, even though it is maybe extremely hard to find that solution, or is it possible that for some coalition games, a Pareto optimal solution may not exist?

Aziz, Haris, Felix Brandt, and Paul Harrenstein. "Pareto optimality in coalition formation."

*Games and Economic Behavior*82 (2013): 562-581.Dear colleagues, friends, and professors,

As we know, we have very strong analytical approaches to control theory. Any dynamic decision-making process that its variables change in time could be characterized by state-space and/or state-action representations. However, we see very few control viewpoints for solving electricity market problems. I would like to invite you to share your thoughts about the opportunities, and limitations of such a viewpoint.

Thank you and kind regards,

Reza.

I'm writing a review article in which I explain the different mechanisms by which M. tuberculosis reaches a persistent infection by establishing a cross-signal homeostasis with its host, in which both organisms modulate their actions and reactions towards the other one, and at some part I came up with this sentence " This thought provoking notion makes me think of its similarity to Newton’s third law of motion; a system reaches a steady state whenever the forces acting upon it are equal and opposite one another". How prudent is that?

What do you think about it? :)

What kind of

**dominate in the field of***scientific research**Computer games in the education process?*Please, provide your suggestions for a

*, problem or***question***in the issues:***research thesis***Computer games in the education process*.Please reply.

I invite you to the discussion

Thank you very much

Best wishes

I am looking for a good couple of reads on game theory, maybe with an historical context. Anything like random walks, or Marvok Process is fine or even, Colonel Blotto, and Prisoners Dilemma. I think my hardship is finding the right literature instead of instructional books. Thank you in advanced.

I do not know much about game theory. I am finding a book where different protocols and algorithms of computer science have been analyzed using the concept of game theory.

Imagine a platoon, such as the "peloton" in a cycling competition or cars on a highway, where the players benefit from travelling close to each other due to wind drag reduction. If each speed would be determined by the optimal operating points stemming from their bikes, aerodynamics and body. For example, player 1, might be optimal (in terms of fuel efficiency) at a specific gear and given a specific cadence. Each player will propose changes to each other, such that each one will give a proposal to the player(s) which are obstructing its optimal trajectory. Negotiations, from say player 2 to player 1 (where player 1 is in front of player 2) such as "pedal 1 m/s faster and you'll get 1 buck", where the new speeds and compensations will be calculated individually from each cyclist such that the prize is lower than the potential "fuel cost" that player 2 would experience from operating at non optimal speeds. These proposals are then accepted or denied. I'm thinking that these proposals should then converge to some optimum where no members in the platoon will benefit from changing its strategy, hence a kind of Nash equilibrium.

I'm fairly new to game theory, but I want to formulate this problem as a game theoretical one, to see where these proposals would converge, and how to prove it. How would I begin?

dear reasearchers,

any ideas or repos that discuss the implement of NE in python using using nash py for a stackelberg game .

Greetings

is there a logical approach for an answer to the non-conformance of Pareto optimal to Nash equilibrium ?

in-game theory context answer is: because of double-cross in Nash equilibrium which that not in Pareto optimal .

but can we find a logical language to Answering this question? for example with preferece modality, hybrid logic , epistemic logic,etc...?

Greetings,

I am trying to calculate the Shapley Value to obtain the fair distribution of value in a two player cooperative game. All the examples I have found describe three or more players. Can I calculate a Shapley value for two players?

The form I have is a little different. In my situation I have player A providing an improved service at a cost to them of $50. Player B benefits from this service to the value of $350. I wish to know what would be the Shapley (fair) value in this situation to each of the players A and B. There are two outcomes to the game:

- In the event player A offers the improved service they (player A) will make a loss of $50, and player B will make a saving of $350 - what would be the Shapley value to player A and B in this scenario assuming they shared the $350 saving?
- If player A does not offer the improved service they will make no loss ($0), but player B will have lost the
**opportunity**to save $350

**Further clarification if required:**

*player A provides a tool at $50 hire rate per day to player B at player B's facility, Player B pays $300 per day to rent their facility. Therefore if player A can reduce the duration of the job by one day player B will save one days tool hire and one days facility rental ($50 + $300 = $350). However Player A will be hiring their tool for one day less than normal and therefore suffer a loss of $50.*

Appreciate any guidance on the above.

Scott

**Game theory**is the study of mathematical models of strategic interaction between rational decision-makers.[1] It has applications in all fields of social science, as well as in logic and computer science. Originally, it addressed zero-sum games, in which one person's gains result in losses for the other participants. Today, game theory applies to a wide range of behavioral relations, and is now an umbrella term for the science of logical decision making in humans, animals, and computers.

Modern game theory began with the idea regarding the existence of mixed-strategy equilibria in two-person zero-sum games and its proof by John von Neumann. Von Neumann's original proof used the Brouwer fixed-point theorem on continuous mappings into compact convex sets, which became a standard method in game theory and mathematical economics. His paper was followed by the 1944 book

*Theory of Games and Economic Behavior*, co-written with Oskar Morgenstern, which considered cooperative games of several players. The second edition of this book provided an axiomatic theory of expected utility, which allowed mathematical statisticians and economists to treat decision-making under uncertainty.Game theory was developed extensively in the 1950s by many scholars. It was later explicitly applied to biology in the 1970s, although similar developments go back at least as far as the 1930s. Game theory has been widely recognized as an important tool in many fields. As of 2014, with the Nobel Memorial Prize in Economic Sciences going to game theorist Jean Tirole, eleven game theorists have won the economics Nobel Prize. John Maynard Smith was awarded the Crafoord Prize for his application of game theory to biology.

The strategy of product packaging used several times has extra fixed cost and it is more price sensitive. The consumers have extra expense but it's refundable as a deposit , so that the fraction of extra cost can be return back to the consumers. Returnable packaging can achieve the best financial and environmental performance only with consumers behavior or price sensitivity. Thus, the game depends mostly on the consumer's willingness to send back and pay more for expensive packaging with the refundable deposit.

The aim of this game theory is to offer a suitable framework for the low carbon strategy in the processes of packaging planning via a product returnable package.

Hello Everyone,

I am student of PhD (MS &E) and i am working in Linear/non-Linear Programming of Operations Management. I have a Profit Maximization problem with In-equality constraint which need to use KKT condition for optimality. I already got first order condition for my decision variable by KKT ussage.

I want to know how to code this problem in MATLAB. any example from Solver-based and Problem-based solutions can be helpful. Thanks in Advance.

Kind Regards,

Abaidullah

As we know, Theorems in differential topology and algebraic topology facilitated the development of many crucial concepts in economics, namely the Nash equilibrium—a solution concept in game theory established by John F. Nash, Jr.—which was ultimately proved by the Brouwer fixed-point theorem in topology (Dilkina et al. 42- 43). Many other economic theories, such as the microeconomic general equilibrium theory, largely depend on topological theorems. Moreover, analyzing different topological networks of economic systems can provide mathematical insight into how the society is financially functioning. For instance, by producing empirical models of labor markets which connect individuals’ employment situations, economists found that the differences in the topology of such networks greatly influence the inequalities in wages as well as the duration and correlation of their unemployment rates (Klinedinst et al. 11). but I ask if there any other applications in economic.

Given the importance of the economy in sustaining life. what you see?

How can i use game theory to FDI fall into particular country?

I believe one can use Game theory and come up with the model for the particular FDI investment fall into a given country.

In addition to this, I want to know which one of these two is better in terms of computational complexity and with respect to the game.

Thank you.

**Game Theory**

Game theory is a tool for the analysis of the interaction among usually rational agents, the formulation of hypotheses about their behaviour and the prediction of the results of each interaction. From this standpoint it is very suitable for the analysis of environmental problems and for the definition of self-enforcing environmental agreements that are founded on cooperation and stability.

**Enter game theory**

What we have here is a particular kind of group decision problem known as

*a game*, where one party’s decision is influenced by the actions of another party and vice versa.The mathematical theory of such games is rich, with many important applications.

*Game theory*, as it is known, was originally developed during the Cold War to model the nuclear arms race and first strike strategies.

Since then, the theory has become indispensable in economics and is enjoying applications in diverse areas such as ethics, biology, dating, and, more recently, in environmental management and policy.

One of the enduring lessons of game theory is that in certain common situations, cooperation can be hard to achieve and may be difficult to maintain.

What do you suggest for example for wastewater treatment? did you have experience of that? would you please help by sharing your documents, experience, knowledge and etc. ?

The Nash's equilibrium for prisoners' dilemma game theory is played so that each prisoner will inform on the other as they do not trust each other. However, we do not know if a human will follow through or have other social values.

Will AI problem solving be based on logic only or encompass the option to 'hold back'. What if two AI systems are opposing each other?

What is the most recent algorithm of soft computing?

Hello,

I am working on a three level supplier, manufacturer and retailer game. In a decentralized channel, I used backward induction method to get the optimal values. But is it possible that the supplier optimal profit values in Negative?

Please guide me or suggest me an article for my understanding.

Thank you in advance.

Hello,

I am trying to replicate the results from this paper by Nowak and May (1992) http://ped.fas.harvard.edu/files/ped/files/nature92_0.pdf

However, in my code I find I need to have a random element and thus my results are stochastic. This is because of my interpretation of the following part of Nowak and May's model:

*"At the start of the next generation, each lattice-site is occupied by the player with the highest score among the previous owner and the immediate neighbours"*

Thus my question is,

**if there are 2 or more neighbours with the**Currently I pick at random.*same*highest payoff, but with different strategies, which one do I pick to occupy the lattice-site?I am also keen to see a very clear step by step description of their algorithm, so would appreciate it if anyone knew of a paper where this is described.

Many thanks,

Liz

In other words, in what conditions the game theory is better than conventional optimization methods for solving optimization problems?

Suppose I have an axiomatic bargaining problem (F,d) where F is the set of feasible utilities and d is the disagreement point. Let's say FU{d} is non-convex. Can I compute the Nash Bargaining solution under such a setting?

In a leader-follower game (or Stackelberg ). Due to the leader's strategy if the follower's strategy (followers optimization problem ) becomes infeasible or vice versa, what to do?

1. Is there a chance to occur like this?

2. If so, what is the solution? Please refer to any literature?

Emergent Properties of Complex Systems evolve through interactions between components of a complex system. How do we define them using applying game theory for both competitive and non-competitive games ?

Dear Colleagues.

I need your advice about the joining to a Scientific group worked on ( Game theory)... Since I am interesting to make use of Game theory in designing a proposed method for security evaluation of crypto -systems.

Please, any advice will be of great help to our research.

Best Regards

What is the relationship of Game Theory and Sexual Slelection with regards to mate competition?

How do you know that from the almost infinite action (toolbox), which action you need to choose (which is A , B etc..) to get the next step within the progress toward the target. (Starting point (like sitting in the armchair) -> A -> B -> C -> Cooked a Pizza or Went out of the room through the door )

What algorith/method the most effective when the task is NEW, so you need planning, don't just solve this with previous experience.

And this method should be universally applicable because the animals can solve problems with a very high diversity interval.

I hope you get is what the question is.

IS GAME SOLVED BY ARTIFICIAL TECH

The main goal is to collaborate in different countries, using an agreed methodology to identify the interaction among stakeholders and organizations by applying game theory and analysis of cooperative games. We can work it out via the internet, mail of social media, present the research in Congress or journals, citing all the researchers involved, and respecting everyone contribution. Using this strategy, we can multiply the research activities, internationally, in which we are directly or indirectly involved whit our work.

i want to work on game theory so i want to know the recent work on this topic

I need a basic program for understanding how to solve a Game theory using GAMS and find Nash equilibrium.

I need to study the present management scenario of the wetlands of my area and also to make suggestions regarding their possible sustainable management. Need guidelines about what econometric tool and/or model would be appropriate. Can game theory be useful?

Nash bargaining assumes that players are perfectly rational. However, the perfect rationality assumption does not hold for real-life bargaining scenarios with human as players. Therefore, is it possible to introduce bounded rationality theory into Nash bargaining problem? If it is possible, how to introduce?

Of course, the evolutionary model of bargaining in game theory drops the perfect rationality assumption, but it is based on large population of individuals as players and repeated interaction among players, not applicable to one shot bargaining scenarios with only two or three players. So I'm looking for methods of introducing bounded rationality into Nash bargaining problem.

If someone has any idea about backward induction method then please share.

Thank you

Hello everyone,

Can someone help me with references to solve a closed loop Stackelberg game for linear differential dynamic games for continuous system. The game is infinite horizon. Thank you.

I want to compare two populations, but we can only measure 6 participants at a time at most (the total sample is larger of course). Therefore running the task classically is difficult.

A possible solution is having participants play against an algorithm (tit-for-tat, or adaptive pavlov). However, I can't find any literature of humans vs. algorithm in the prisoner's dilemma.

Am I missing something?

Suppose we have a set of players, i.e., {

*p*_{1},*p*_{2}, ...,*p*} and each player has three different strategies, i.e., {_{n}*s*_{1},*s*_{2},*s*_{3}}. They play*m*number of games. In each game, each player seeks to maximize its profit by selecting a strategy with highest playoff. The profit associated with each strategy is as follows.1) Payoff for selecting strategy

*s*_{1}is zero2) Payoff for selecting strategy

*s*_{2}is a real number, which is calculated using some formula*f*_{1}3) Payoff for selecting strategy

*s*_{3}is also a real number, however, it is calculated using another formula*f*_{2}I want to prove the existence of Nash equilibrium when all the players select one of the available strategies.

I have searched on web and found several documents, however, I couldn't get a clear idea to prove it mathematically.

Any help is deeply appreciated. Please let me know if I have missed any information. Thank you in advance.

I am looking for examples of the combination of ABM, MO optimization, and game theory, preferably the ones that have been used for practical purposes.

Hi everyone, I am working on improving the accuracy and efficiency of some traditional machine learning models. As game theory illustrates the cooperation and conflict of different decision makers, it is maybe useful in some machine learning strategy. Could you recommend me some good cooperation in both field? Thank you.

In a multi-option system, agents can use one of many options at a time; like a stock market that you want to buy just one stock at a time. Or, you want to be either a seller, or a buyer. One method to analyze this system is the mean field approximation. Now, what about the situation in which you want to acquire more than one resource simultaneously; like processes in a computer system.

Do we need quantum assumptions/computing? Is it possible to simplify the system? What do you think?

Hi,

I would like to derive a mathematical model that can explain the change in frequencies of two genes that cause resistance to a particular antibiotic. Based on the literature, one of the genes is expressed only constitutive, while the other is a membrane protein. I would like to know the methods and protocols to follow for using evolutionary game theory. As I am learning it right now, any reference to similar articles or texts would be much appreciated.

Thanks.

I would like to apply game theory, potentially the prisoner's dilemma, to aggression in fish. I have a lot of data in which to apply this theory, but have no experience myself on modeling decision probabilities. Please contact me if you would be interested in collaborating or further discussing this idea. Many thanks!

I am trying to find a good SC simulation game for my students. Except for the beer gaming, all good games are not for free! Any recommendations?

Hello all, I am trying to human-machine interactions using game theory. My application is similar to a human wearing an exoskeleton where human is one agent who knows what the machine will do in achieving a control objective and the machine operates to help the human in the task. I believe this problem can be modeled using Stackelberg games where human is the leader and the machine is the follower. I am new to game theory, I would like to know whether the game theory will help me quantify the advantage I am getting in using both machine and human compared to just human.

I have a model with 2 players that each has 1 inequality constraint. They move simultaneously.

I reformulated my model as kkt conditions; and after solving the cases, I had overlapping cases.

For example (attached a depiction):

the input condition of case 1:

a < x < b

the input condition of case 2:

a < x if y > c

a > x if y < c

x, y, a, b and c are all strictly positive input parameters.

My question is, is it possible to solve a simultaneous game with kkt? If so, is it possible to have overlapping cases? if so, what would than mean?

is distributed gradient algorithm could be considered as a game theory method?

**The modeling of these processes requires specifying, for each operation of production process, an interval of the authorized duration.**

**Considering the performance of the Petri Nets tool in terms of modeling synchronizations, parallels, conflicts and sharing of resources, this tool is seen as an important research way for modeling and evaluation of robustness.**

In the field of game theory, can anyone refer me to papers dealing with multi-objective transportation games ?

I have a solved a number of game problems using a co-evolutionary approach. A reviewer asked me to show some analyses of co-evolutionary progress measure/metrics.

Basically I need the complete calculation of some numerical examples on multi-objective transportation problems. Solution of the problem is done either by Weight Goal programming or linear programming problems. Or it may be zero-one integer programming.

I am embarking on research in the field of reinforcement learning and I would like to get a good grassroots grasp on the topic of Markov Decision Processes (MDP). I would be very glad if someone knowledgeable in this field would take some time out of his busy schedule and direct me towards some good study materials that would deal with the basics of MDP as well as go a bit deep into it.

Thanks

For example, in game theory, externality framing is a good term for highlighting either the positive or negative consequence on others (the externality). However, I am failing to find a good overarching term when emphasizing either the individual or the group. Individual-group framing is the only thing I came up with, however, I find this term not satisfactory. neither would I call it individual framing, group framing, or label framing for that matter.

Dear colleagues,

What is special in 1109?

We can use straight lines as starting configurations in Game of Life. Then, if we check the equilibration time vs length, we will see that many lines with different lengths reach equilibrium exactly after 1109 steps. Why?

*More details in our project Mysteries of Game of Life

In a Nature article from 12 October 2015, named 'Price carbon — I will if you will', MacKay, Cramton, Ockenfels, and Soft argue that common commitments in a public goods game changes the Nash Equlibrium from free-riding, i.e. contributing nothing to the public good, to full contribution (cooperation).

They interpret this as a theoretical solution to climate change negotiations.

I wonder if there is an experimental investigation of this theoretical prediciton and would be happy if anyone could point me towards a paper that deals with this.

Thanks in advance.

Hi all,

Can someone help with an algorithm to determine biasing for dynamic range expansion in picocell and subsequently to mitigate the resultant interference?

I am working on increasing capacity and coverage using cell range expansion, particularly picocells. Since this method introduces some interference to cell edge users, a game theory approach is intended to be used in mitigating the interference.

Any help on algorithms and codes for these?

For my master thesis on how perspective-taking can influence perceptions of procedural fairness, distributive justice and racial profiling in police-citizen encounters. I am using a Virtual Reality to let subjects experience the perspective.

Since the topics in the VR experience (police violence/ethnic profiling) are quite sensitive, I have found no experiments where such negative experiences have been simulated or manipulated. I thus find it hard to base my power analysis on previous experiments on procedural fairness, distributive justice and racial profiling. I have found experiments of Mazerolle (2013) and Murphy (2014) on infuence of positive experiences with procedural fairness.

My question is thus if anyone knows of previous experiments of these topics, and if not how I can still determine an effect size/ conduct a power analysis?

Thanks in advance!

Let's suppose we have x people voting, and there are n proposals. People vote by ranking the proposal. We know that if the proposal can be ordered, so that each person has a favorite proposal, and then as you move away from the favorite proposal they like the most, their appreciation for the proposals go down. So if the proposals are A, B, C, D E, and are ordered in lexicographic order. Then someone that likes B will always like C more than D, and D more than E. So it will either be

B>A>C>D>E or

B>C>A>D>E or

B>C>D>A>E or

B>C>D>E>A

And if everybody shares the same order, then there is a condorcet winner, which will be the choice of the median voter (see median voter theorem).

Now, what if the order is not on a line but on a cycle.

For example suppose we are deciding the time to have a meeting. Meeting that we are going to have each day, always at the same time. Each of us has their favorite time, and as you move away from that time each of us will like that time less.

Then:

1) Does it still exist always a Condorcet Winner?

2) Is it still true that the median voter is Condorcet Winner?

3) And how do you calculate the median voter in a cycle? For example if I have a set of times all around the clock, what is the "median time"?

4) And if there is no Condorcet Winner, can someone come up with a counter example?

Thanks to anyone who can chip in something.