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Community organization permeates both social and biological complex systems. To study its interplay with behavior emergence, we model mobile structured populations with multiplayer interactions. We derive general analytical methods for…

Populations and Evolution · Quantitative Biology 2024-08-28 Diogo L. Pires , Mark Broom

Feedback-evolving games is a framework that models the co-evolution between payoff functions and an environmental state. It serves as a useful tool to analyze many social dilemmas such as natural resource consumption, behaviors in…

Computer Science and Game Theory · Computer Science 2024-08-23 Keith Paarporn , James Nelson

Cooperation in groups underpins collective responses to challenges from climate governance to public goods provision, yet how moral evaluation sustains it remains poorly understood. Indirect reciprocity -- cooperating to build a good…

Physics and Society · Physics 2026-04-29 Ming Wei , Xin Wang , Junyu Lu , Longzhao Liu , Yishen Jiang , Hongwei Zheng , Shaoting Tang , Feng Fu

We analyze the core of a cooperative Cournot game. We assume that when contemplating a deviation, the members of a coalition assign positive probability over all possible coalition structures that the non-members can form. We show that when…

Computer Science and Game Theory · Computer Science 2011-07-19 Paraskevas V. Lekeas , Giorgos Stamatopoulos

We study fair allocation of indivisible public goods subject to cardinality (budget) constraints. In this model, we have n agents and m available public goods, and we want to select $k \leq m$ goods in a fair and efficient manner. We first…

Computer Science and Game Theory · Computer Science 2021-07-22 Jugal Garg , Pooja Kulkarni , Aniket Murhekar

Cores of cooperative games are ubiquitous in information theory, and arise most frequently in the characterization of fundamental limits in various scenarios involving multiple users. Examples include classical settings in network…

Information Theory · Computer Science 2009-01-05 Mokshay Madiman

We show that any cooperative game can be represented by an assignment of costly facilities to players, in which it is intuitively obvious how to allocate the total cost in an equitable manner. This equitable solution turns out to be the…

Theoretical Economics · Economics 2024-01-19 Pradeep Dubey

The development of cooperative relations within and between firms plays an important role in the successful implementation of business strategy. How to produce such relations is less well understood. We build on work in relational contract…

Computer Science and Game Theory · Computer Science 2012-03-07 Dan Ladley , Ian Wilkinson , Louise Young

Cooperation and competition coexist and coevolve in natural and social systems. Cooperation generates resources, which in turn, drive non-cooperative competition to secure individual shares. How this complex interplay between cooperation…

Physics and Society · Physics 2025-09-03 Wenqiang Zhu , Xin Wang , Chaoqian Wang , Weijie Xing , Longzhao Liu , Hongwei Zheng , Jingwu Zhao , Shaoting Tang

In this paper we extend the equal division and the equal surplus division values for transferable utility cooperative games to the more general setup of transferable utility cooperative games with a priori unions. In the case of the equal…

Computer Science and Game Theory · Computer Science 2024-01-31 J. M. Alonso-Meijide , J. Costa , I. García-Jurado , J. C. Gonçalves-Dosantos

In this paper, a multi-user cooperative computing framework is applied to enable mobile users to utilize available computing resources from other neighboring users via direct communication links. An incentive scheme based on Bertrand game…

Computer Science and Game Theory · Computer Science 2021-08-10 Nan Zhang , Guopeng Zhang , Kezhi Wang , Kun Yang

The aim of this article is to propose a core game theory model of transaction costs wherein it is indicated how direct costs determine the probability of loss and subsequent transaction costs. The existence of optimum is proven, and the way…

Theoretical Economics · Economics 2020-08-25 László Kállay , Tibor Takács , László Trautmann

This paper provides formulae and algorithms to compute the projection onto the core of a preimputation outside it. The core of a game is described using an exponential number of linear constraints, and we cannot know beforehand which are…

Metric Geometry · Mathematics 2024-11-19 Dylan Laplace Mermoud

Following the work of Lloyd Shapley on the Shapley value, and tangentially the work of Guillermo Owen, we offer an alternative non-probabilistic formulation of part of the work of Robert J. Weber in his 1978 paper "Probabilistic values for…

Theoretical Economics · Economics 2019-05-13 Jacob North Clark , Stephen Montgomery-Smith

According to the fundamental principle of evolutionary game theory, the more successful strategy in a population should spread. Hence, during a strategy imitation process a player compares its payoff value to the payoff value held by a…

Physics and Society · Physics 2021-07-07 A. Szolnoki , M. Perc

Cooperative games provide a framework to study cooperation among self-interested agents. They offer a number of solution concepts describing how the outcome of the cooperation should be shared among the players. Unfortunately, computational…

Computer Science and Game Theory · Computer Science 2017-11-28 Ayumi Igarashi , Rani Izsak , Edith Elkind

This paper studies competitions with rank-based reward among a large number of teams. Within each sizable team, we consider a mean-field contribution game in which each team member contributes to the jump intensity of a common Poisson…

Computer Science and Game Theory · Computer Science 2021-05-18 Xiang Yu , Yuchong Zhang , Zhou Zhou

A new game theoretical solution concept for open spectrum sharing in cognitive radio (CR) environments is presented, the Lorenz equilibrium (LE). Both Nash and Pareto solution concepts have limitations when applied to real world problems.…

Adaptation and Self-Organizing Systems · Physics 2013-04-08 Ligia Cremene , D. Dumitrescu

An existing challenge in power systems is the implementation of optimal demand management through dynamic pricing. This paper encompasses the design, analysis and implementation of a novel on-line pricing scheme based on coalitional game…

Optimization and Control · Mathematics 2024-07-16 Fernando Genis Mendoza , Pablo R Baldivieso Monasterios , Dario Bauso , George Konstantopoulos

In rational verification, the aim is to verify which temporal logic properties will obtain in a multi-agent system, under the assumption that agents ("players") in the system choose strategies for acting that form a game theoretic…

Computer Science and Game Theory · Computer Science 2023-01-18 Julian Gutierrez , Szymon Kowara , Sarit Kraus , Thomas Steeples , Michael Wooldridge
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