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In this paper we extend the framework of evolutionary inspection game put forward recently by the author and coworkers to a large class of conflict interactions dealing with the pressure executed by the major player (or principal) on the…

最优化与控制 · 数学 2022-05-03 Vassili Kolokoltsov

Evolutionarily stable strategy (ESS) is a key concept in evolutionary game theory. ESS provides an evolutionary stability criterion for biological, social and economical behaviors. In this paper, we develop a new approach to evaluate ESS in…

计算机科学与博弈论 · 计算机科学 2020-06-18 Haozhen Situ

Evolutionary game theory has been a successful tool to combine classical game theory with learning-dynamical descriptions in multiagent systems. Provided some symmetric structures of interacting players, many studies have been focused on…

人工智能 · 计算机科学 2022-06-23 Xinyu Zhang , Peng Peng , Yushan Zhou , Haifeng Wang , Wenxin Li

In this paper, we present a model of a game among teams. Each team consists of a homogeneous population of agents. Agents within a team are cooperative while the teams compete with other teams. The dynamics and the costs are coupled through…

计算机科学与博弈论 · 计算机科学 2023-10-20 Jayakumar Subramanian , Akshat Kumar , Aditya Mahajan

We consider mean field games with discrete state spaces (called discrete mean field games in the following) and we analyze these games in continuous and discrete time, over finite as well as infinite time horizons. We prove the existence of…

最优化与控制 · 数学 2019-09-04 Josu Doncel , Nicolas Gast , Bruno Gaujal

Population games model the evolution of strategic interactions among a large number of uniform agents. Due to the agents' uniformity and quantity, their aggregate strategic choices can be approximated by the solutions of a class of ordinary…

计算机科学与博弈论 · 计算机科学 2023-12-14 Semih Kara , Nuno C. Martins

In this paper, we study a class of discrete-time mean-field games under the infinite-horizon risk-sensitive discounted-cost optimality criterion. Risk-sensitivity is introduced for each agent (player) via an exponential utility function. In…

最优化与控制 · 数学 2018-10-08 Naci Saldi , Tamer Basar , Maxim Raginsky

Game theory provides a quantitative framework for analyzing the behavior of rational agents. The Iterated Prisoner's Dilemma in particular has become a standard model for studying cooperation and cheating, with cooperation often emerging as…

种群与进化 · 定量生物学 2015-06-18 Alexander J. Stewart , Joshua B. Plotkin

In this paper we study the minority game in the presence of evolution. In particular, we examine the behavior in games in which the dimension of the strategy space, m, is the same for all agents and fixed for all time. We find that for all…

adap-org · 物理学 2009-10-31 Yi Li , Rick Riolo , Robert Savit

In lowest unique bid auctions, $N$ players bid for an item. The winner is whoever places the \emph{lowest} bid, provided that it is also unique. We use a grand canonical approach to derive an analytical expression for the equilibrium…

计算机科学与博弈论 · 计算机科学 2015-05-28 Simone Pigolotti , Sebastian Bernhardsson , Jeppe Juul , Gorm Galster , Pierpaolo Vivo

This paper presents a model of network formation in repeated games where the players adapt their strategies and network ties simultaneously using a simple reinforcement-learning scheme. It is demonstrated that the coevolutionary dynamics of…

多智能体系统 · 计算机科学 2013-08-06 Ardeshir Kianercy , Aram Galstyan

In this paper we study mean field games with possibly multiple mean field equilibria. Instead of focusing on the individual equilibria, we propose to study the set of values over all possible equilibria, which we call the set value of the…

最优化与控制 · 数学 2024-03-19 Melih Iseri , Jianfeng Zhang

We consider eager-push epidemic dissemination in a complete graph. Time is divided into synchronous stages. In each stage, a source disseminates $\nu$ events. Each event is sent by the source, and forwarded by each node upon its first…

分布式、并行与集群计算 · 计算机科学 2014-10-21 Xavier Vilaca , Luis Rodrigues

We consider 2-players, 2-values minimization games where the players' costs take on two values, $a,b$, $a<b$. The players play mixed strategies and their costs are evaluated by unimodal valuations. This broad class of valuations includes…

计算机科学与博弈论 · 计算机科学 2020-09-10 Chryssis Georgiou , Marios Mavronicolas , Burkhard Monien

The concept of an evolutionarily stable strategy (ESS), introduced by Smith and Price, is a refinement of Nash equilibrium in 2-player symmetric games in order to explain counter-intuitive natural phenomena, whose existence is not…

计算复杂性 · 计算机科学 2017-01-30 Themistoklis Melissourgos , Paul Spirakis

Evolutionary game dynamics in structured populations has been extensively explored in past decades. However, most previous studies assume that payoffs of individuals are fully determined by the strategic behaviors of interacting parties and…

种群与进化 · 定量生物学 2019-06-19 Qi Su , Lei Zhou , Long Wang

We study a Bayesian coordination game where agents receive private information on the game's payoff structure. In addition, agents receive private signals on each other's private information. We show that once agents possess these different…

经济学 · 定量金融 2015-01-06 Dominik Grafenhofer , Wolgang Kuhle

We introduce Mean Field Markov games with $N$ players, in which each individual in a large population interacts with other randomly selected players. The states and actions of each player in an interaction together determine the…

最优化与控制 · 数学 2012-01-12 H. Tembine , J. -Y. Le Boudec , R. El-Azouzi , E. Altman

Evolutionary game theory is a common framework to study the evolution of cooperation, where it is usually assumed that the same game is played in all interactions. Here, we investigate a model where the game that is played by two…

物理与社会 · 物理学 2015-10-21 Marco A. Amaral , Jafferson K. L. da Silva , Lucas Wardil

We discuss the long-run behavior of stochastic dynamics of many interacting players in spatial evolutionary games. In particular, we investigate the effect of the number of players and the noise level on the stochastic stability of Nash…

统计力学 · 物理学 2009-11-07 Jacek Miekisz