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An analysis of several important aspects of competition or conflict in games, social choice and decision theory is presented. Inherent difficulties and complexities in cooperation are highlighted. These have over the years led to a certain…

最优化与控制 · 数学 2007-05-23 Elemér E Rosinger

Minority game is a model of heterogeneous players who think inductively. In this game, each player chooses one out of two alternatives every turn and those who end up in the minority side wins. It is instructive to extend the minority game…

统计力学 · 物理学 2007-05-23 F. K. Chow , H. F. Chau

We propose a game-theoretic framework that incorporates both incomplete information and general ambiguity attitudes on factors external to all players. Our starting point is players' preferences on payoff-distribution vectors, essentially…

经济学 · 定量金融 2017-04-04 Jian Yang

So far, the theory of equilibrium selection in the infinitely repeated prisoner's dilemma is insensitive to communication possibilities. To address this issue, we incorporate the assumption that communication reduces -- but does not…

理论经济学 · 经济学 2023-04-25 Maximilian Andres

This paper focuses on a one person game called Indian policeman's dilemma (IPD). It represents the internal conflict between emotion and profession of a typical Indian police officer. We have 'split' the game to be played independently by…

计算机科学与博弈论 · 计算机科学 2010-04-20 Kaushik Kumar Majumdar

We discuss stochastic dynamics of finite populations of individuals playing games. We review recent results concerning the dependence of the long-run behavior of such systems on the number of players and the noise level. In the case of…

种群与进化 · 定量生物学 2007-05-23 Jacek Miekisz

We discuss similarities and differencies between systems of many interacting players maximizing their individual payoffs and particles minimizing their interaction energy. We analyze long-run behavior of stochastic dynamics of many…

统计力学 · 物理学 2007-05-23 Jacek Miekisz

Game theory formalizes certain interactions between physical particles or between living beings in biology, sociology, and economics, and quantifies the outcomes by payoffs. The prisoner's dilemma (PD) describes situations in which it is…

物理与社会 · 物理学 2015-05-13 Dirk Helbing , Sergi Lozano

In this note, we present a compatibility test based on John Nash's game-theoretic notion of equilibrium strategy. The test must be taken separately by both partners, making it difficult for either partner alone to control the outcome. The…

历史与综述 · 数学 2020-12-11 Kerstin Bever , Julie Rowlett

In game theory, the concept of Nash equilibrium reflects the collective stability of some individual strategies chosen by selfish agents. The concept pertains to different classes of games, e.g. the sequential games, where the agents play…

逻辑 · 数学 2015-07-01 Stephane Le Roux

The iterated prisoner's dilemma is a game that produces many counter-intuitive and complex behaviors in a social environment, based on very simple basic rules. It illustrates that cooperation can be a good thing even in a competitive world,…

计算机科学与博弈论 · 计算机科学 2020-09-07 Robert Prentner

Security games are an example of a successful real-world application of game theory. The paper defines blameworthiness of the defender and the attacker in security games using the principle of alternative possibilities and provides a sound…

人工智能 · 计算机科学 2019-11-13 Pavel Naumov , Jia Tao

We analyze the pedestrian evacuation of a rectangular room with a single door considering a Lattice Gas scheme with the addition of behavioral aspects of the pedestrians. The movement of the individuals is based on random and rational…

适应与自组织系统 · 物理学 2015-06-17 S. Bouzat , M. N. Kuperman

We theoretically study the effect of a third person enforcement on a one-shot prisoner's dilemma game played by two persons, with whom the third person plays repeated prisoner's dilemma games. We find that the possibility of the third…

理论经济学 · 经济学 2019-08-15 Tatsuhiro Shichijo

We quantize prisoner dilemma in presence of collective dephasing with dephasing rate $\gamma $. It is shown that for two parameters set of strategies $Q\otimes Q$ is Nash equilibrium below a cut-off value of time. Beyond this cut-off it…

量子物理 · 物理学 2015-06-16 Ahmad Nawaz

The prisoner's dilemma (PD) game is a simple model for understanding cooperative patterns in complex systems consisting of selfish individuals. Here, we study a PD game problem in scale-free networks containing hierarchically organized…

物理与社会 · 物理学 2015-05-19 C. -K. Yun , N. Masuda , B. Kahng

Game theory is fundamental to understanding cooperation between agents. Mainly, the Prisoner's Dilemma is a well-known model that has been extensively studied in complex networks. However, although the emergence of cooperation has been…

物理与社会 · 物理学 2023-01-04 Nastaran Lotfi , Francisco A. Rodrigues

Standard game theory assumes that the structure of the game is common knowledge among players. We relax this assumption by considering extensive games where agents may be unaware of the complete structure of the game. In particular, they…

计算机科学与博弈论 · 计算机科学 2007-05-23 Joseph Y. Halpern , Leandro C. Rêgo

In many social dilemmas, individuals tend to generate a situation with low payoffs instead of a system optimum ("tragedy of the commons"). Is the routing of traffic a similar problem? In order to address this question, we present…

物理与社会 · 物理学 2007-05-23 Dirk Helbing , Martin Schonhof , Hans-Ulrich Stark , Janusz A. Holyst

We introduce a new measure of the discrepancy in strategic games between the social welfare in a Nash equilibrium and in a social optimum, that we call selfishness level. It is the smallest fraction of the social welfare that needs to be…

计算机科学与博弈论 · 计算机科学 2014-04-04 Krzysztof R. Apt , Guido Schaefer