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The Competing Bandits framework is a recently emerging area that integrates multi-armed bandits in online learning with stable matching in game theory. While conventional models assume that all players and arms are constantly available, in…

机器学习 · 计算机科学 2026-03-23 Shinnosuke Uba , Yutaro Yamaguchi

Understanding whether preferences are sensitive to the frame has been a major topic of debate in the last decades. For example, several works have explored whether the dictator game in the give frame gives rise to a different rate of…

物理与社会 · 物理学 2025-08-20 Valerio Capraro , Andrea Vanzo

Stability of evolutionary dynamics of non-repeated Prisoner's Dilemma game with non-uniform interaction rates [1], via benefit and cost dilemma is studied . Moreover, the stability condition (b+c/b-c)2 < r1r3 is derived in case of…

种群与进化 · 定量生物学 2011-03-29 M. I. Shehata

Trust and reciprocation of it form the foundation of economic, social and other interactions. While the Trust Game is widely used to study these concepts for interactions between two players, often alternating different roles (i.e.,…

物理与社会 · 物理学 2025-05-21 Ik Soo Lim , Naoki Masuda

A generic property of biological, social and economical networks is their ability to evolve in time, creating and suppressing interactions. We approach this issue within the framework of an adaptive network of agents playing a Prisoner's…

适应与自组织系统 · 物理学 2014-10-20 Martin G. Zimmermann , Victor M. Eguiluz , Maxi San Miguel

A generalized model of games is proposed, in which cooperative games and non-cooperative games are special cases. Some games that are neither cooperative nor non-cooperative can be expressed and analyzed. The model is based on relationships…

计算机科学与博弈论 · 计算机科学 2016-10-10 Jiawei Li

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

The complete cooperation and the complete defection are two typical strategies considered in evolutionary games in many previous works. However, in real life, strategies of individuals are full of variety rather than only two complete ones.…

物理与社会 · 物理学 2025-01-03 Linya Huang , Wenchen Han

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

I present the results from a spatial model of the prisoner's dilemma, played on a toroidal lattice. Each individual has a default strategy of either cooperating ($C$) or defecting ($D$). Two strategies were tested, including ``tit-for-tat''…

物理与社会 · 物理学 2026-02-04 Gregg Hartvigsen

In open-world environments, artificial agents must often contend with novel conditions that deviate from their training or design assumptions. This paper studies the robustness of fixed-strategy agents to such novelty within the setting of…

计算机科学与博弈论 · 计算机科学 2026-02-17 Mayank Kejriwal , Shilpa Thomas , Hongyu Li

Behavior in the context of game theory is described as a natural process that follows the 2nd law of thermodynamics. The rate of entropy increase as the payoff function is derived from statistical physics of open systems. The thermodynamic…

综合物理 · 物理学 2011-10-27 Jani Anttila , Arto Annila

We examine short combinatorial games for three or more players under a new play convention in which a player who cannot move on their turn is the unique loser. We show that many theorems of impartial and partizan two-player games under…

组合数学 · 数学 2019-03-05 Mark Spindler

Leaving the joint enterprise when defection is unveiled is always a viable option to avoid being exploited. Although loner strategy helps the population not to be trapped into the tragedy of the commons state, it could offer only a modest…

物理与社会 · 物理学 2015-10-28 Attila Szolnoki , Xiaojie Chen

Conventional game theory assumes that players are perfectly rational. In a realistic situation, however, players are rarely perfectly rational. This bounded rationality is one of the main reasons why the predictions of Nash equilibrium in…

物理与社会 · 物理学 2026-01-01 Mojtaba Madadi Asl , Mehdi Sadeghi

The paper is concerned with two-person dynamic zero-sum games. We investigate the limit of value functions of finite horizon games with long run average cost as the time horizon tends to infinity, and the limit of value functions of…

最优化与控制 · 数学 2016-07-21 Dmitry Khlopin

A checkers-like model game with a simplified set of rules is studied through extensive simulations of agents with different expertise and strategies. The introduction of complementary strategies, in a quite general way, provides a tool to…

By specifying behaviour across multiple agents, social norms are a coordination approach to resolving social dilemmas. Decentralized and wide adoption can be achieved by norms whose prescription involves interpreting stochastic signals in…

计算机科学与博弈论 · 计算机科学 2026-05-20 Maximilian Puelma Touzel

We study a system in which N agents have to decide between two strategies \theta_i (i \in 1... N), for defection or cooperation, when interacting with other n agents (either spatial neighbors or randomly chosen ones). After each round, they…

物理与社会 · 物理学 2012-11-07 Frank Schweitzer , Pavlin Mavrodiev , Claudio J. Tessone

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