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This paper examines the integration of computational complexity into game theoretic models. The example focused on is the Prisoner's Dilemma, repeated for a finite length of time. We show that a minimal bound on the players' computational…

计算机科学与博弈论 · 计算机科学 2007-05-23 Yishay Mor , Jeffrey S. Rosenschein

Is it rational for selfish individuals to cooperate? The conventional answer based on analysis of games such as the Prisoners Dilemma (PD) is that it is not, even though mutual cooperation results in a better outcome for all. This…

物理与社会 · 物理学 2015-08-14 V. Sasidevan , Sitabhra Sinha

We consider the one-shot Prisoner's Dilemma between algorithms with read-access to one anothers' source codes, and we use the modal logic of provability to build agents that can achieve mutual cooperation in a manner that is robust, in that…

计算机科学与博弈论 · 计算机科学 2021-04-06 Mihaly Barasz , Paul Christiano , Benja Fallenstein , Marcello Herreshoff , Patrick LaVictoire , Eliezer Yudkowsky

The Prisoner's Dilemma is a simple model that captures the essential contradiction between individual rationality and global rationality. Although the one-shot Prisoner's Dilemma is usually viewed simple, in this paper we will categorize it…

计算机科学与博弈论 · 计算机科学 2015-03-17 Haoyang Wu

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

The standard iterated prisoner's dilemma is an unrealistic model of social behaviour because it forces individuals to participate in the interaction. We analyse a model in which players have the option of ending their association. If the…

最优化与控制 · 数学 2007-05-23 L. A. Khodarinova , J. N. Webb

We study environments in which agents are randomly matched to play a Prisoner's Dilemma, and each player observes a few of the partner's past actions against previous opponents. We depart from the existing related literature by allowing a…

理论经济学 · 经济学 2020-06-30 Yuval Heller , Erik Mohlin

Prisoner's Dilemma is a game theory model used to describe altruistic behavior seen in various populations. This theoretical game is important in understanding why a seemingly selfish strategy does persist and spread throughout a population…

物理与社会 · 物理学 2020-04-16 Sharon M. Cameron , Ariel Cintrón-Arias

The Prisoner's Dilemma is used to represent many real life phenomena whether from the civilized world of humans or from the wild life of the other living. Researchers working on iterated prisoner's dilemma (IPD) with limited memory…

计算机科学与博弈论 · 计算机科学 2025-05-28 Meliksah Turker , Haluk O. Bingol

For the iterated Prisoner's Dilemma, there exist Markov strategies which solve the problem when we restrict attention to the long term average payoff. When used by both players these assure the cooperative payoff for each of them. Neither…

动力系统 · 数学 2017-04-27 Ethan Akin

This paper presents research comparing the effects of different environments on the outcome of an extended Prisoner's Dilemma, in which agents have the option to abstain from playing the game. We consider three different pure strategies:…

计算机科学与博弈论 · 计算机科学 2016-08-18 Marcos Cardinot , Maud Gibbons , Colm O'Riordan , Josephine Griffith

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

We analyze an extended model of the Iterated Prisoner's Dilemma where agents decide to play based on the data from their limited memory or recommendations. The cooperators can decide whether to play with the matched opponent or not. The…

计算机科学与博弈论 · 计算机科学 2022-09-15 Orhun Gorkem , Haluk O. Bingol

The Prisoner's Dilemma has been a subject of extensive research due to its importance in understanding the ever-present tension between individual self-interest and social benefit. A strictly dominant strategy in a Prisoner's Dilemma…

计算机科学与博弈论 · 计算机科学 2016-05-17 John J. Nay , Yevgeniy Vorobeychik

We consider the prisoner's dilemma being played repeatedly on a dynamic network, where agents may choose their actions as well as their co-players. This leads to co-evolution of network structure and strategy patterns of the players.…

物理与社会 · 物理学 2007-06-26 Christoly Biely , Klaus Dragosits , Stefan Thurner

The Prisoner's Dilemma (PD) deals with the cooperation/defection conflict between two agents. The agents are represented by a cell of $L \times L$ square lattice. The agents are initially randomly distributed according to a certain…

统计力学 · 物理学 2007-05-23 Ricardo Oliveira dos Santos Soares , Alexandre Souto Martinez

One of the most direct human mechanisms of promoting cooperation is rewarding it. We study the effect of sharing a reward among cooperators in the most stringent form of social dilemma, namely the Prisoner's Dilemma. Specifically, for a…

种群与进化 · 定量生物学 2012-02-02 J. A. Cuesta , R. Jimenez , H. Lugo , A. Sanchez

Situations of conflict giving rise to social dilemmas are widespread in society and game theory is one major way in which they can be investigated. Starting from the observation that individuals in society interact through networks of…

物理与社会 · 物理学 2010-11-24 Enea Pestelacci , Marco Tomassini , Leslie Luthi

In this paper I present a mathematically novel approach to the Prisoner's Dilemma. I do so by first defining recursively a distinct action type, what I call 'universalizing', that I add to the original prisoner's dilemma. Such a modified…

经济学 · 定量金融 2015-10-05 Paul Studtmann

We investigate an evolutionary prisoner's dilemma game among self-driven agents, where collective motion of biological flocks is imitated through averaging directions of neighbors. Depending on the temptation to defect and the velocity at…

物理与社会 · 物理学 2015-03-13 Zhuo Chen , Jian-Xi Gao , Yun-Ze Cai , Xiao-Ming Xu
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