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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

Noncooperative games with uncertain payoffs have been classically studied under the expected-utility theory framework, which relies on the strong assumption that agents behave rationally. However, simple experiments on human decision makers…

计算机科学与博弈论 · 计算机科学 2025-08-14 Ashok Krishnan K. S. , Hélène Le Cadre , Ana Bušić

Consider the scenario where an infinite number of players (i.e., the \textit{thermodynamic} limit) find themselves in a Prisoner's dilemma type situation, in a \textit{repeated} setting. Is it reasonable to anticipate that, in these…

统计力学 · 物理学 2024-07-23 Rajdeep Tah , Colin Benjamin

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

Cooperation is of utmost importance to society as a whole, but is often challenged by individual self-interests. While game theory has studied this problem extensively, there is little work on interactions within and across groups with…

物理与社会 · 物理学 2010-10-14 Dirk Helbing , Anders Johansson

We use replicator dynamics to study an iterated prisoners' dilemma game with memory. In this study, we investigate the characteristics of all 32 possible strategies with a single-step memory by observing the results when each strategy…

物理与社会 · 物理学 2014-03-06 Young Jin Kim , Myungkyoon Roh , Seung-Woo Son

We study the asymptotic organization among many optimizing individuals interacting in a suitable "moderate" way. We justify this limiting game by proving that its solution provides approximate Nash equilibria for large but finite player…

最优化与控制 · 数学 2021-12-20 Franco Flandoli , Maddalena Ghio , Giulia Livieri

In recent years, agents have become capable of communicating seamlessly via natural language and navigating in environments that involve cooperation and competition, a fact that can introduce social dilemmas. Due to the interleaving of…

人工智能 · 计算机科学 2025-01-28 Maayan Orner , Oleg Maksimov , Akiva Kleinerman , Charles Ortiz , Sarit Kraus

The perceived risk and reward for a given situation can vary depending on resource availability, accumulated wealth, and other extrinsic factors such as individual backgrounds. Based on this general aspect of everyday life, here we use…

统计力学 · 物理学 2021-12-07 Marco A. Amaral , Marcelo M. de Oliveira

In this paper a new multiple access algorithm for cognitive radio networks based on game theory is presented. We address the problem of a multiple access system where the number of users and their types are unknown. In order to do this, the…

计算机科学与博弈论 · 计算机科学 2013-05-24 Oscar Filio Rodriguez , Serguei Primak , Valeri Kontorovich , Abdallah Shami

Happiness, in the U.S. Declaration of Independence, was understood quite differently from today's popular notions of personal pleasure. Happiness implies a flourishing life - one of virtue, purpose, and contribution to the common good. This…

理论经济学 · 经济学 2025-06-13 Debora Princepe , Onofrio Mazzarisi , Erol Akcay , Simon A. Levin , Matteo Marsili

Strategic games admit a multi-graph representation, in which two kinds of relations, accessibility, and preferences, are used to describe how the players compare the possible outcomes. A category of games with a fixed set of players…

范畴论 · 数学 2025-02-19 Fernando Tohmé , Ignacio Viglizzo

A new approach for the study of social games and communications is proposed. Games are simulated between cognitive players who build the opponent's internal model and decide their next strategy from predictions based on the model. In this…

adap-org · 物理学 2009-10-30 Makoto Taiji , Takashi Ikegami

A simple model for cooperation between "selfish" agents, which play an extended version of the Prisoner's Dilemma(PD) game, in which they use arbitrary payoffs, is presented and studied. A continuous variable, representing the probability…

凝聚态物理 · 物理学 2009-11-10 H. Fort

In a two-stage repeated classical game of prisoners' dilemma the knowledge that both players will defect in the second stage makes the players to defect in the first stage as well. We find a quantum version of this repeated game where the…

量子物理 · 物理学 2015-06-26 A. Iqbal , A. H. Toor

An axiomatic characterization of Nash equilibrium is provided for games in normal form. The Nash equilibrium correspondence is shown to be fully characterized by four simple and intuitive axioms, two of which are inspired by contraction and…

理论经济学 · 经济学 2025-12-04 Michele Crescenzi

We study an evolutionary version of the spatial prisoner's dilemma game, where the agents are placed in a random graph. For lattices with fixed connectivity, $\alpha$, we show that for low values of $\alpha$ the final density of cooperating…

统计力学 · 物理学 2007-05-23 O. Durán , R. Mulet

This paper considers a two-player game where each player chooses a resource from a finite collection of options. Each resource brings a random reward. Both players have statistical information regarding the rewards of each resource.…

计算机科学与博弈论 · 计算机科学 2023-09-19 Mevan Wijewardena , Michael J. Neely

In strategic games such as the prisoner's dilemma, allowing players to make binding offers of utility transfers before play has been shown to alter incentives and potentially support cooperative outcomes. These preplay exchange mechanisms…

理论经济学 · 经济学 2026-04-27 Ian Fligler

We show that under some general conditions the finite memory determinacy of a class of two-player win/lose games played on finite graphs implies the existence of a Nash equilibrium built from finite memory strategies for the corresponding…

计算机科学与博弈论 · 计算机科学 2016-07-13 Stéphane Le Roux , Arno Pauly