Juan D. Moreno-Ternero

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• Professor of Economics
• Professor at Pablo de Olavide University

We study the problem of sharing the revenues raised from subscriptions to music streaming platforms among content providers. We provide direct, axiomatic, and game-theoretical foundations for two focal (and somewhat polar) methods widely used in practice: pro rata and user centric. The former rewards artists proportionally to their number of total...

The normative principle that every individual is equally entitled to continued life is a subject of debate in ethics, health economics and policy. We reconsider this principle in the context of setting priorities for healthcare interventions. When applied without restriction, the principle overlooks quality of life concerns entirely. However, we co...

We study the problem of allocating the revenues raised via paid subscriptions to music streaming platforms among participating artists. We show that the main methods to solve streaming problems (pro-rata, user-centric and families generalizing them) can be seen as specific (well-known) rules to solve (multi-issue) claims problems. Our results permi...

We study an index to measure the popularity of artists in music streaming platforms. This index, which can be used to allocate the amount raised via paid subscriptions among participating artists, is based on the Shapley value, a centerpiece in cooperative game theory. We characterize this Shapley index combining several axioms formalizing principl...

We take an axiomatic approach to the allocation of riparian water rights. We formalize ethical or structural properties as axioms of allocation rules. We show that several combinations of these axioms characterize focal rules implementing the principle of Territorial Integration of all Basin States in various forms. One of them connects to the Shap...

We study the cooperative game associated with a broadcasting problem (the allocation of revenues raised from the collective sale of broadcasting rights for a sports tournament). We show that the set of core allocations can be characterized with three axioms: additivity, null team and monotonicity. We also show that the Shapley value can be characte...

We develop a unified framework for the measurement and valuation of health and productivity. Within this framework, we characterize evaluation functions allowing for compromises between the classical quality-adjusted life years (QALYs) and its polar productivity-adjusted life years (PALYs). Our framework and characterization results provide a new n...

We take an axiomatic approach to study redistribution problems when agents report income and needs. We formalize axioms reflecting ethical and operational principles such as additivity, impartiality and individual rationality. Different combinations of those axioms characterize three focal rules ( laissez faire , full redistribution , and need‐adju...

We propose to establish wine rankings using scores that depend on the differences between favorable and unfavorable opinions about each wine, according to the Borda rule. Unlike alternative approaches and specifications, this method is well-defined even if the panelists’ quality relations are not required to exhibit demanding properties such as tra...

We study the problem of sharing the revenues from broadcasting sports leagues axiomatically. Our key axiom is anonymity, the classical impartiality axiom. Other impartiality axioms already studied in broadcasting problems are equal treatment of equals, weak equal treatment of equals and symmetry. We study the relationship between all impartiality a...

We study the problem of sharing the revenues from broadcasting sports leagues axiomatically. Our key axiom is anonymity, the classical impartiality axiom. Other impartiality axioms already studied in these problems are equal treatment of equals, weak equal treatment of equals and symmetry. We study the relationship between all impartiality axioms....

The COVID-19 pandemic forced the partial or total cancellation of most sports competitions worldwide. Sports organizations crucially rely on revenues raised from broadcasting. How should the allocation of these revenues be modified when sports leagues are cancelled? We aim to answer that question in this paper by means of the axiomatic approach. Tw...

How to select participants for a sports tournament when they are divided into different sets, and one should find a fair number of slots for each set? We propose to address this question by resorting to standard tools from the fair allocation literature. To frame our discussion, we focus on the increase in the number of participating teams in the F...

Agents may form coalitions. Each coalition shares its endowment among its agents by applying a sharing rule. The sharing rule induces a coalition formation problem by assuming that agents rank coalitions according to the allocation they obtain in the corresponding sharing problem. We characterize the sharing rules that induce a class of stable coal...

We study the problem of sharing the revenues from broadcasting sports leagues among participating clubs. First, we characterize the set of rules satisfying two basic axioms: anonymity and additivity. Then, we decentralize the problem by letting clubs vote for rules. No majority equilibrium exists when they are allowed to vote for any rule within th...

We provide a unifying framework for the evaluation of population health. We formalize several axioms for social preferences over distributions of health. We show that a specific combination of those axioms characterizes a large class of population health evaluation functions combining concerns for quality of life, quantity of life and health shortf...

We study the allocation of revenues raised from the collective sale of broadcasting rights for the Spanish Football League (La Liga), which is strongly regulated by the Spanish government since 2015. The allocation process is decomposed in four dimensions: lower bounds, sport performance, economic performance, and broadcasting performance. For each...

How to select participants to a sports tournament when there are more applicants than the tournament can handle? We propose to address this question resorting to standard tools from the fair allocation literature. To frame our discussion, we focus on the increase in the number of participating teams in the FIFA World Cup. We explore the allocation...

The outcome of the famous 1976 Judgment of Paris, a blind wine tasting of ten wines by nine French judges, brought American wines to the forefront of the wine business. A Californian wine, the 1973 Stag's Leap Wine Cellars S.L.V. Cabernet Sauvignon, was declared the winner, surpassing four highly prized French wines (Château Mouton-Rothschild 1970,...

We explore the implications of three basic and intuitive axioms for income redistribution problems: equal treatment of equals, additivity and stability. We show that the combination of the three axioms characterizes two focal and polar rules: laissez-faire and full redistribution.

During a pandemic, each country (or region) is characterized by a status matrix indicating its positive cases, hospitalizations and deaths. A pandemic performance indicator is a real-valued mapping from the set of status matrices to the set of non-negative real numbers, whereby lower values stand for better performance. We show that four axioms tog...

We analyze and evaluate the rules and results at the 2021 Eurovision Song Contest. We first concentrate on the various voting procedures and explore several alternatives (inspired by classical contributions in social choice and game theory) that could make a difference for the results. We also discuss other important issues, such as simplicity, con...

We address the problem of assessing the value of a language. We consider a stylized model of multilingual societies in which we introduce axioms formalizing the principles of impartiality, monotonicity, invariance and consistency. We show that the combination of these axioms characterizes a family of communicative benefit functions which assign a v...

We analyze the implications of axioms formalizing entitlements to continued life for the evaluation of population health, when combined with basic structural axioms. A straightforward implication of our analysis is that if the scope of equal entitlements to continued life is not limited, concerns for morbidity are dismissed in the evaluation of pop...

We take the axiomatic approach to uncover the structure of the revenue-sharing problem from broadcasting sports leagues. We formalize two notions of impartiality, depending on the stance one takes with respect to the revenue generated in the games involving each pair of teams. We show that the resulting two axioms lead towards two broad categories...

The European Union (EU) spends more than one billion euros per year ensuring translation and interpretation of 24 languages to preserve multilingualism. We examine how this budget should be fairly allocated, taking into account linguistic and economic realities of each member country. Our analysis tries to estimate the value of keeping English as a...

We characterize a large family of rules for the problem of sharing the revenues from broadcasting sports leagues, by combining just two basic axioms: additivity and a weak form of equal treatment of equals. We also explore the implications of the principle of monotonicity for the resulting family of separable rules. Based on it, we derive new chara...

We consider the problem of randomly allocating indivisible units of a resource among agents with conflicting claims on the resource. An axiom reflecting a principle of compensation allows us to characterize the focal probabilistic uniform awards rule. A dual axiom reflecting a principle of sacrifice allows us to characterize the (dual) probabilisti...

We study the optimal management of evolving hierarchies of revenue-generating agents. The initiator invests into expanding the hierarchy by adding another agent, who will bring revenues to the joint venture and who will invest herself into expanding the hierarchy further, and so on. The higher the investments (which are private information), the hi...

We explore the design of impartial tax schemes in a simple setup where agents’ incomes are completely determined by their inborn talents. Building on Harsanyi’s veil-of-ignorance approach, we conceptualize an impartial observer who chooses a tax scheme without knowing her own preferences and the distribution of talents, and whose vNM preferences be...

The modern era of wine journalism has provided abundant information about wines and widespread use of numerical rating systems. A tiny difference, especially at the top of the distribution of ratings, may have striking consequences on wine sales and investment returns. This article provides a general framework to obtain a consensus among tasters’ o...

We explore the implications of the principle of monotonicity in the problem of sharing the revenues from broadcasting sports leagues. We formalize different forms of this principle as several axioms for sharing rules in this setting. We show that, combined with two other basic axioms (equal treatment of equals and additivity), they provide axiomati...

We explore the implications of three basic and intuitive axioms for income redistribution problems: continuity, no transfer paradox and stability. The combination of the three axioms characterizes in the two-agent case a large family of rules, which we call threshold rules. For each level of total income in society, a threshold is considered for ea...

We follow the Nash program to provide strategic justifications of the TAL family of rules for bankruptcy problems. The design of our game is inspired by an axiomatization of the TAL family of rules exploiting the properties of consistency together with certain degrees of lower and upper bounds to all creditors. Bilateral negotiations of our game fo...

We study the problem of sharing the revenues raised from the collective sale of broadcasting rights for sports leagues. We characterize the sharing rules satisfying three basic and intuitive axioms: symmetry, additivity and maximum aspirations. They convey a natural compromise between two focal rules, arising from polar estimations of teams’ loyal...

We study the design of fair international protocols for the abatement of GHG emissions. We formulate normative principles, pertaining to countries' population, emission history, and the current and business as usual emissions, as axioms for allocation rules. We show that combinations of these axioms characterize the so-called equal per capita alloc...

La Commission européenne est très prudente et discrète dans ses communications sur le budget et l’utilisation des langues dans l’Union européenne (UE). Ce que l’on sait, c’est que ce budget s’élève «à peu près» à un milliard d’euros. Comme le disait le britannique Neil Kinnock du temps de sa Vice-Présidence de la Commission européenne à ceux qui, s...

We follow the Nash program to provide a new strategic justification of the Talmud rule in bankruptcy problems. The design of our game is based on a focal axiomatization of the rule, which combines consistency with meaningful lower and upper bounds to all creditors. Our game actually considers bilateral negotiations, inspired by those bounds, which...

We study dynamic rationing problems. In each period, a fixed group of agents hold claims over an insufficient endowment. The solution to each of these periods’ problems might be influenced by the solutions at previous periods. We single out a natural family of aggregator operators, which extend static rules (solving static rationing problems) to co...

We consider the problem of sharing the revenues from broadcasting sports leagues among participating teams. We introduce axioms formalizing alternative ways of allocating the extra revenue obtained from additional viewers. We show that, combined with some other standard axioms, they provide axiomatic characterizations of three focal rules for this...

La confianza en las instituciones de la UE se ha visto obviamente mermada tras la decisión de Gran Bretaña de poner en marcha el Brexit. Para paliar parcialmente esta irritación, sugerimos la implantación de una lengua franca en la UE, una idea muy popular entre los ciudadanos según muestran las encuestas. Sugerimos también que la UE debería ayudar...

We explore possible future lines of research for the focal problem of dividing scarce resources. They refer to addressing dynamic aspects of these problems, their multidimensional extensions (with, possibly, the existence of mixed resources, heterogeneous preferences and negative awards), uncertainty, and the ensuing incentive aspects in the divisi...

We study the problem of sharing the revenues from broadcasting sport league events among participating teams. We provide direct, axiomatic, and game-theoretical foundations for two focal rules: the equal-split rule and concede-and-divide. The former allocates the revenues generated from broadcasting each game equally among the participating teams i...

We discuss compensation schemes that should give incentives to EU countries and citizens to acquire a lingua franca. We consider three possible candidate languages: English, French and German, which are already the most widely spoken languages. In our model, countries can claim compensations linked to the number of (young) citizens who do not speak...

Bankruptcy problems arise when agents hold claims against a certain (perfectly divisible) good, and the available amount is not enough to satisfy them all. A great source of inspiration to solve these problems emanates from the Talmud. We survey classical and recent contributions to the literature that constitute this Talmudic approach to bankruptc...

Robert Nozick allegedly introduced his liberal theory of private ownership as an objection to theories of end-state justice. Nevertheless, we show that, in a stylized framework for the allocation of goods in joint ventures, both approaches can be seen as complementary. More precisely, in such a context, self-ownership (the basis for Nozick’s entitl...

We model problems of allocating disputed properties as generalized exchange economies. Therein, agents have preferences and claims over multiple goods, and the social endowment of each good may not be sufficient to satisfy all individual claims. We focus on market-based allocation rules that impose a two-step procedure: assignment of rights based o...

This paper analyzes a family of rules for bankruptcy problems that generalizes the so-called reverse Talmud rule and encompasses both the constrained equal-awards rule and the constrained equal-losses rule. The family, introduced by van den Brink et al. (Eur J Oper Res 228:413–417, 2013), is a counterpart to the so-called TAL-family of rules, intro...

We explore in this paper the relationship between equity-sensitive population health evaluation measures and normative concerns for relative comparisons of health gains. Such a relationship allows us to characterize focal equity-sensitive models for the evaluation of population health. Instances are the so-called multiplicative Quality Adjusted Lif...

This paper presents a framework for evaluating the impact of languages in multilingual societies. We consider several ranking methods based on various principles, including Minimal Disenfranchisement, Communicative Benefits, Utilitarianism, and the game-theoretical concept of the Shapley Value. We use data from a Special Barometer survey to apply t...

We consider the problem of assigning agents to slots on a line, where only one agent can be served at a slot and each agent prefers to be served as close as possible to his target. We introduce a general approach to compute aggregate gap-minimizing assignments, as well as gap-egalitarian assignments. The approach relies on an algorithm which is sho...

We consider the problem of assigning agents to slots on a line, where only one agent can be served at a slot and each agent prefers to be served as close as possible to his target. We introduce a general approach to compute aggregate gap-minimizing assignments, as well as gap-egalitarian assignments. The approach relies on an algorithm which is sho...

We consider the problem of distributing the proceeds generated from a joint venture in which the participating agents are hierarchically organized. We introduce and characterize a family of allocation rules where revenue ‘bubbles up’ in the hierarchy. The family is flexible enough to accommodate the no-transfer rule (where no revenue bubbles up) an...

We present a new rule for the problem of sharing the revenue from museum passes. The rule allocates the revenue from each pass proportionally to the product of the admission fee and the number of total visits (with and without pass) of the museums. We provide a systematic study of the properties of the rule, in comparison with other rules in the li...

Most economic contributions in this handbook deal with the way languages and linguistic diversity affect economic outcomes. The reverse direction, that is, how economic issues can have an impact on linguistic diversity and the evolution and acquisition of languages, is explored to a lesser degree, with the exception of Chapter 3 on language evoluti...

We explore the implications of four natural axioms in taxation: continuity (small changes in the data of a taxation problem should not lead to large changes in the tax allocation), equal treatment of equals (agents with the same pre-tax incomes pay equal taxes), consistency (the way in which a group allocates a tax burden is immune to secessions of...

We explore in this paper the axiomatic approach to the problem of sharing the revenue from museum passes. We formalize two models for this problem on the grounds of two different informational bases. In both models, we provide axiomatic rationale for natural rules to solve the problem. We, nonetheless, obtain drastic differences under each scenario...

We study the optimal management of teams in which agents’ effort decisions are mapped (via a production technology) into the probability of the team’s success. Optimal wage schemes in such context are largely discriminatory, but we show that the extent of the discrimination crucially depends on the existence of moral hazard. More precisely, for tea...

Health outcomes are often described according to two dimensions: quality of life and quantity of life. We analyze the measurement of inequality of health distributions referring to these two dimensions. Our analysis relies on a novel treatment of the quality-of-life dimension, which might not have a standard mathematical structure. We single out tw...

We introduce a new operator for general rationing problems in which, besides conflicting claims, individual baselines play an important role in the rationing process. The operator builds onto ideas of composition, which are not only frequent in rationing, but also in related problems such as bargaining, choice, and queuing. We characterize the oper...

This article studies a model of coalition formation for the joint production (and finance) of public projects, in which agents may belong to multiple coalitions. We show that, if projects are divisible, there always exists a stable (secession-proof) structure, i.e., a structure in which no coalition would reject a proposed arrangement. When project...

In this paper we explore the implications of normative principles for the evaluation of population health. We formalize those principles as axioms for social preferences over distributions of health for a given population. We single out several focal population health evaluation functions, which represent social preferences, as a result of combinat...

In a recent article, Fragnelli and Gagliardo [Fragnelli, V., Gagliardo, S., (2012). Cooperative models for allocating an object. Economics Letters 117, 227–229] propose several procedures to solve a basic problem of fair allocation. We scrutinize their proposal and contextualize it into recent developments of the literature on bankruptcy problems....

Resource egalitarianism and welfare egalitarianism are two focal conceptions of distributive justice. We show in this paper that they share a solid common ground. To do so, we analyze a simple model of resource allocation in which agentsʼ abilities (to transform the resource into an interpersonally comparable outcome) and starting points may diffe...

We analyze a general model of rationing in which agents have baselines, in addition to claims against the (insufficient) endowment of the good to be allocated. Many real-life problems fit this general model (e.g., bankruptcy with prioritized claims, resource allocation in the public health care sector, water distribution in drought periods). We int...

We consider the problem of assigning agents to a facility, represented by slots on a line, where only one agent can be served at a time. There is a finite number of agents, and each one wants to be served as close as possible to his preferred slot. We first consider deterministic assignment of agents to slots. We characterize (Pareto) efficiency in...

We investigate the implications and logical relations between progressivity (a principle of distributive justice) and merging-proofness (a strategic principle) in taxation. By means of two characterization results, we show that these two principles are intimately related, despite their different nature. In particular, we show that, in the presence...

In a recent paper, Thomson and Yeh [Operators for the adjudication of conflicting claims, Journal of Economic Theory 143 (2008) 177-198] introduced the concept of operators on the space of rules for the problem of adjudicating conflicting claims. They focussed on three operators in order to uncover the structure of such a space. In this paper, we g...

We provide a general coalitional procedure that characterizes a family of rules for bankruptcy problems inspired by the Talmud.

AbstractWe analyze the problem of choosing the most appropriate method for apportioning taxes in a democracy. We consider a simple theoretical model of taxation and restrict our attention to piece-wise linear tax methods, which are almost ubiquitous in advanced democracies worldwide. We show that if we allow agents to vote for any method within a r...

We study optimal wage schemes for teams, under the presence of budget constraints, in a model in which agents’ effort decisions are mapped into the probability of the team’s success. We show that (first-best) efficiency can only be attained with complex contracts that are vulnerable to ex post manipulations and off-equilibrium path violations of th...

The standard problem of adjudicating conflicting claims describes a situation in which a given amount of a divisible good has to be allocated among agents who hold claims against it exceeding the available amount. This paper considers more general rationing problems in which, in addition to claims, there exist baselines (to be interpreted as object...

A primer in social choice theory, GaertnerWulf, Oxford University Press, 2006, xiii + 200 pages. - Volume 25 Issue 3 - Juan D. Moreno-Ternero

This paper reports an experimental study on three well-known solutions for problems of adjudicating con icting claims: the constrained equal-awards, the proportional, and the constrained equal-losses rules. We first let subjects play three games designed such that the unique equilibrium allocation coincides with the recommendation of one of these t...

We propose a method for calculating the production costs of an intervention in a manner that accounts for differences in productive 'effort.' This method could be used within a cost-effectiveness analysis framework in the evaluation of new medical technologies, pharmaceuticals, treatment programs, or public health interventions. We apply it to show...

The veil of ignorance has been used often as a tool for recommending what justice requires with respect to the distribution of wealth. We complete Harsanyi's model of the veil of ignorance by appending information permitting objective comparisons among persons. In order to do so, we introduce the concept of objective empathy. We show that the veil-...

We study mechanisms to construct equal-opportunity policies for resource allocation. In our model agents enjoy welfare as a function of the effort they expend, and the amount of a socially provided resource they consume. Nevertheless, agents have interdependent allocations. As in the standard approach to equality of opportunity, the aim is to alloc...

We analyze a model of resource allocation in which agents' abilities (to transform the resource into an interpersonally comparable outcome) and initial endowments may differ. We impose ethical and operational axioms in this model and characterize some allocation rules as a result of combining these axioms. Two focal (and polar) egalitarian rules ar...

In this paper, we study the immunity of bankruptcy rules to manipulation via merging or splitting agents' claims. We focus on the TAL-family of bankruptcy rules (Moreno-Ternero & Villar, 2006), a one-parameter family encompassing three classical rules: the Talmud (T) rule, the constrained equal-awards (A) rule and the constrained equal-losses (L) r...

We present a model of political competition, in a multi-dimensional policy space and with policy-oriented candidates, to analyze the problem of health care finance. In our model, health care is either financed publicly (by means of general taxation) or privately (by means of a copayment). The extent of these two components (as well as the overall t...

We establish the precise connections between progressive taxation and inequality reduction, in a setting where the level of tax revenue to be raised is endogenously fixed and tax schemes are balanced. We show that, in contrast with the traditional literature on taxation, the equivalence between inequality reduction and the combination of progressiv...

In this paper, we study the immunity of bankruptcy rules to manipulation via merging or splitting agents' claims. We focus on the TAL-family of bankruptcy rules (Moreno-Ternero & Villar, 2005), a one-parameter family encompassing three classical rules: the Talmud (T) rule, the constrained equal-awards (A) rule and the constrained equal-losses (L) r...

We study in this paper mechanisms to construct equal-opportunity policies for resource allocation. In a model where individuals enjoy welfare as a function of the e ort they expend, and the amount of a socially provided resource they consume, the aim is to allocate the social resource so that the inequality of welfare across individuals at the same...

Progressivity, inequality reduction and merging-proofness are three wellknown axioms in taxation. We investigate implications of each of the three axioms through characterizations of several families of taxation rules and their logical relations. We also study the preservation of these axioms under two operators on taxation rules, the so-called con...