Zhihai Rong

• University of Electronic Science and Technology of China

Node centrality plays an important role in many dynamical processes taking place on complex networks. In this work, we associate the individuals’ collective influence (CI) with their strategy-updating time scales to investigate how the diverse collective influence of individuals affects the evolution of cooperation in the evolutionary prisoner’s di...

Strategy-updating rules play fundamental roles for the persistence of cooperation in groups composed by selfish individuals. In this paper, we study the spatial evolutionary prisoner’s dilemma game with the introduction of the strategy-updating cost for players, where each player is able to update its strategy if its payoffs is greater than a criti...

Groups are the basic unit of organization in our society. It is important to investigate how groups compete and cooperation evolves in the population composed of groups. In this paper, based on the celebrated multi-player public goods game, we propose a general theoretical framework of the stochastic dynamic process to study how inequalities among...

This paper investigates the evolution of cooperation and the emergence of hierarchical leadership structure in random regular graphs. It is found that there exist different learning patterns between cooperators and defectors, and cooperators are able to attract more followers and hence more likely to become leaders. Hence, the heterogeneous distrib...

This research focuses on the consensus problem of multi-agent systems (MASs) consisting of friends and enemies in a matrix-weight-based signed topological network. To highlight the effects of matrix coupling, we analyze the integrator model in a competitive-cooperative coexistence network. Unlike scalarweight-based topological networks, the phenome...

In this work, we study the spatial evolutionary public goods game by introducing payoff aspirations for players, and players update their strategies with a stochastic probability depending on the difference between their collecting payoffs from neighbors and own payoff aspirations. A striking finding is that the cooperation level is a nonmonotonic...

Globalization significantly influences climate change. Ecological modernization theory and world polity theory suggest that globalization reduces carbon dioxide emissions worldwide by facilitating economic, political, social, and cultural homogenization, whereas ecological unequal exchange theory indicates that cumulative economic and political dis...

Extortion strategies, which can unilaterally guarantee the extortionate agent's payoff not less than its opponent, have attracted lots of attention. It has been found that extortion plays a nontrivial role in the evolution of unconditional cooperation in networked systems. In this paper, we investigate the influence of timescale diversity on the ev...

Networked evolutionary game theory is widely used to study the evolutionary dynamics in complex systems. In this work, we mainly investigate the influence of degree correlations of networks on the evolution of three memory-one strategies, i.e., unconditional cooperation, unconditional defection, and extortion. It is found that compared with the deg...

The heterogeneous nature of human behaviors contributes to the complexity of human-activated systems. Empirical observations and theoretical models reveal the temporal and spatial heterogeneity of many aspects of human behaviors, including social connections and geographic movements, while little is known whether and how human individual's behavior...

Quantitative understanding of relationships between students' behavioral patterns and academic performance is a significant step towards personalized education. In contrast to previous studies that mainly based on questionnaire surveys, in this paper, we collect behavioral records from 18,960 undergraduate students' smart cards and propose a novel...

Based on the Prisoner's Dilemma game, this paper investigates the evolution of extortion behavior with cooperation and defection strategies on the Barabási-Albert (BA) scale-free network under the normalized payoff framework. Using Monte Carlo simulations, we show that the cooperation-extortion alliance emerges, and extortioners can act as catalyst...

Much research attention has been devoted to the investigation of how the structure of a network affects its intended performance. However, conclusions drawn from the previous studies are often inconsistent and even contradictory. In order to identify the causes of these diverse results and to explore the impact of network topology on performance, w...

Cooperation can be viewed as a social norm that is expected in our society. In this work, a framework based on spatial public goods game theory is established to study how peer pressure and incentive mechanisms can influence the evolution of cooperation. A unified model with adjustable parameters is developed to represent the effects of pure Person...

Human behaviors exhibit ubiquitous correlations in many aspects, such as individual and collective levels, temporal and spatial dimensions, content, social and geographical layers. With rich Internet data of online behaviors becoming available, it attracts academic interests to explore human mobility similarity from the perspective of social networ...

Either in societies or economic cycles, the benefits of a group can be affected by various unpredictable factors. We study effects of additive spatiotemporal random variations on the evolution of cooperation by introducing them to the enhancement level of the spatial public goods game. Players are located on the sites of a two-dimensional lattice a...

In this paper, we study the evolution of cooperation in structured populations (individuals are located on either a regular lattice or a scale-free network) in the context of repeated games by involving three types of strategies, namely, unconditional cooperation, unconditional defection, and extortion. The strategy updating of the players is ruled...

Quantitative understanding of relationships between students' behavioral patterns and academic performances is a significant step towards personalized education. In contrast to previous studies that mainly based on questionnaire surveys, in this paper, we collect behavioral records from 18,960 undergraduate students' smart cards and propose a novel...

Human behaviors exhibit ubiquitous correlations in many aspects, such as individual and collective levels, temporal and spatial dimensions, content, social and geographical layers. With rich Internet data of online behaviors becoming available, it attracts academic interests to explore human mobility similarity from the perspective of social networ...

Observational learning and practice learning are two important learning styles and play important roles in our information acquisition. In this paper, we study a spacial evolutionary prisoner's dilemma game, where players can choose the observational learning rule or the practice learning rule when updating their strategies. In the proposed model,...

During the past decades, the Internet as one of the most important networked systems is growing rapidly. In this paper, the evolution of Internet at the autonomous system (AS) level during the past fourteen years is studied. It is shown that the size of Internet grows linearly and the number of ASes increases by around 238.6 per month, also, the In...

Punishment has been proved to be an effective mechanism to sustain cooperation among selfish individuals. In previous studies, punishment is unidirectional: an individual i can punish j but j cannot punish i. In this paper, we propose a mechanism of mutual punishment, in which the two individuals will punish each other if their strategies are diffe...

Individual heterogeneity in the reproductive rate is found to play an important role in the emergence and persistence of cooperation. Most of the existing literature focused mainly on the enhancement of cooperation by the introduction of inhomogeneous teaching capability of the individuals. It is far from clear how the heterogeneous learning abilit...

Repeated game theory has been one of the most prevailing tools for understanding the long-run relationships, which are footstones in building human society. Recent works have revealed a new set of “zero-determinant (ZD)” strategies, which is an important advance in repeated games. A ZD strategy player can exert a unilaterally control on two players...

Recently, a class of interesting strategies, named extortion strategies, has attracted considerable attention since such extortion strategies can dominate any opponent in a repeated prisoner's dilemma game. In this paper, we investigate the influence of the strategy-selection timescale on the evolution of extortion and cooperation in networked syst...

Recent empirical studies suggest that heavy-tailed distributions of human activities are universal in real social dynamics [L. Muchnik, S. Pei, L. C. Parra, S. D. S. Reis, J. S. Andrade Jr., S. Havlin, and H. A. Makse, Sci. Rep. 3, 1783 (2013)SRCEC32045-232210.1038/srep01783]. On the other hand, community structure is ubiquitous in biological and s...

An open problem in evolutionary game dynamics is to understand the effect of peer pressure on cooperation in a quantitative manner. Peer pressure can be modeled by punishment, which has been proved to be an effective mechanism to sustain cooperation among selfish individuals. We investigate a symmetric punishment strategy, in which an individual wi...

Press and Dyson has recently revealed a new set of "zero-determinant" (ZD) strategies for repeated games, which grant a player with power of manipulation on the game's payoffs. A ZD strategy player can unilaterally enforce a fixed linear relationship between his payoff and that of his opponent. In particular it can (i) deterministically set his opp...

Recent empirical studies suggest that heavy-tailed distributions of human activities are universal in real social dynamics [Muchnik, \emph{et al.}, Sci. Rep. \textbf{3}, 1783 (2013)]. On the other hand, community structure is ubiquitous in biological and social networks [M.~E.~J. Newman, Nat. Phys. \textbf{8}, 25 (2012)]. Motivated by these facts,...

We study the evolution of cooperation in spatial Prisoner's dilemma games with and without extortion by adopting aspiration-driven strategy updating rule. We focus explicitly on how the strategy updating manner (whether synchronous or asynchronous) and also the introduction of extortion strategy affect the collective outcome of the games. By means...

Recently, Press and Dyson have proposed a new class of probabilistic and conditional strategies for the two-player iterated Prisoner's Dilemma, so-called zero-determinant strategies. A player adopting zero-determinant strategies is able to pin the expected payoff of the opponents or to enforce a linear relationship between his own payoff and the op...

The paradox of cooperation among selfish individuals still puzzles scientific communities. Although a large amount of evidence has demonstrated that the cooperator clusters in spatial games are effective in protecting the cooperators against the invasion of defectors, we continue to lack the condition for the formation of a giant cooperator cluster...

This paper investigates the evolution of reactive strategies (p,qp,q) on the homogeneous regular and random networks with different network densities. Here p and q mean the probabilities to cooperate after a cooperative and defective opponent. Through the prisoner’s dilemma model, we show that the intermediate number of neighbors of both regular an...

In this paper, we investigate a networked prisoner's dilemma game where individuals' strategy-selection time scale evolves based on their historical learning information. We show that the more times the current strategy of an individual is learnt by his neighbors, the longer time he will stick on the successful behavior by adaptively adjusting the...

This paper investigates the search dynamics of a fundamental particle swarm optimization (PSO) algorithm via gathering and analyzing the data of the search area during the optimization process. The PSO algorithm exhibits a distinct performance when optimizing different functions, which induces the emergence of different search dynamics during the o...

This paper summarize recent researches about the networked coevolutionary games. Firstly, a systematical introduction is presented to social dilemma games, including the Prisoner's dilemma game and the public goods games, associated with a variety of structural properties, e.g., degree heterogeneity, assortative mixing and clustering. The essential...

We introduce a deterministic win-stay-lose-shift rule into the spatial public goods game, according to which a player will change its current strategy only if its payoff is below a predefined aspiration level. Simulation results on the square lattice and scale-free network indicate that the aspiration level greatly affects the evolution of cooperat...

In this brief, we investigate pinning control for cluster synchronization of undirected complex dynamical networks using a decentralized adaptive strategy. Unlike most existing pinning-control algorithms with or without an adaptive strategy, which require global information of the underlying network such as the eigenvalues of the coupling matrix of...

In this paper, we studied the evolution of reactive strategies (p,q) on the homogeneous regular networks with different average degrees, where p and q imply the probabilities to cooperate after a cooperative and defective opponent. Based on the prisoner's dilemma game, we show that the proper density of regular networks can promote the emergence of...

In this paper, we propose a local-betweenness-centrality (LBC)-based pinning strategy to stabilize undirected complex networked systems. Through two kinds of static real-world networks, the UAS airline routing map and the protein-protein interaction network, we show that the LBC-based pinning strategy, which only using the local information around...

We study how the clustering coefficient influences the evolution of cooperation in scale-free public goods games. In games played by groups of individuals, triangle loops provide stronger support for mutual cooperation to resist invasion of selfish behavior than that in the absence of such loops, so that diffusion of cooperative behavior is relativ...

We study evolutionary prisoner's dilemma game by considering adaptive strategy-selection time scale among individuals according to a "win-slower, lose-faster" rule: if an individual successfully resists the invasion of an opponent, she is prone to hold her strategy for longer time through decreasing her strategy-selection time scale; otherwise, she...

In this paper, we propose a decentralized adaptive pinning control scheme for synchronization of undirected networks using a local adaptive strategy to determine both coupling strengths and feedback gains. By applying this local adaptive strategy, we show that the network can achieve synchronization with small coupling strengths and feedback gains....

This paper investigates how the load distribution varies in the correlated scale-free networked systems, where the load going through one vertex or edge is quantified by the betweenness centrality (BC) which represents the amount of shortest paths passing through this vertex or edge. The correlation between degree and BC becomes weaker when the deg...

We study an evolutionary prisoner's dilemma game on a scale-free network by a modified Fermi updating rule, where the learning activity of each player is assigned an inertia index that controls its learning activity. An interesting finding is that the cooperation level can be significantly improved when the individual inertia is introduced. More im...

In this paper we study the effect of clustering coefficient on the evolution of cooperation in scale-free public goods games. Since the cooperator can feed back the investment to its cooperative neighbors through their common neighbor, the cooperative behaviors is easier to diffuse on the graph with triangle loops than that without loops. The feedb...

This paper studies the roles of small-world and degree heterogeneity features on the behavioral diversity in a structured population. The findings conclude that the collective behaviors are prone to the much higher diversity in a homogeneous structure due to the small-world effect, yet they are affected little in a scale-free structure. And the deg...

This paper concerns the global stability of controlling a complex network with digraph topology to a homogeneous trajectory of the uncoupled system by the local pinning control algorithm. The derived stability condition indicates that the smallest real part of eigenvalues of the Laplacian sub-matrix corresponding to the unpinned vertices can be use...

This paper addresses the effect of degree-mixing patterns on the behavioral diversity in a scale-free structured population. In a high-mutation situation, a structured population with assortative mixing by degrees inhibits the diversity of collective behaviors as the highly connected individuals are clustered more closely to compose a core group of...

A total of 49 students, about half of them male, from various countries and 4 student helpers attended the 2008 China Complex Systems Summer School organized by the Santa Fe Institute and the Chinese Academy of Sciences held in Beijing. We studied the development of the social network among these participants during the school, which lasted for 4 w...

We study an evolutionary spatial prisoner's dilemma game where the fitness of the players is determined by both the payoffs from the current interaction and their history. We consider the situation where the selection time scale is slower than the interaction time scale. This is done by implementing probabilistic reproduction on an individual level...

We study the influence of degree correlation on the evolution of cooperation in the networked public goods game (PGG). With the aid of the analysis of the PGG on a double-star graph, we are able to investigate intuitively how the degree mixing patterns affect the transformation of individuals' strategies. We find that the assortative mixing among t...

We study an evolutionary spatial prisoner's dilemma game where the fitness of the players is determined by both the payoffs from the current interaction and their history. We consider the situation where the selection timescale is slower than the interaction timescale. This is done by implementing probabilistic reproduction on an individual level....

The conventional wisdom is that scale-free networks are prone to cooperation spreading. In this paper we investigate the cooperative behaviors on the structured scale-free network. On the contrary of the conventional wisdom that scale-free networks are prone to cooperation spreading, the evolution of cooperation is inhibited on the structured scale...

In this paper, we investigate the effects of degree correlation on the controllability of undirected networks with different degree-mixing patterns based on simulation analysis. Considering random pinning, max-degree pinning and mix-degree pinning, some relevance factors on controllability such as the control gain and the number of pinned nodes are...

We investigate how the degree-mixing pattern affects the emergence of cooperation in the networked prisoner's dilemma game. Our study shows that when a network becomes assortative mixing by degree, the large-degree vertices (hubs) tend to interconnect to each other closely, which destroys the sustainability among cooperators and promotes the invasi...