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In a non-cooperative game, players do not communicate with each other. Their only feedback is the payoff they receive resulting from the strategies they execute. It is important to note that within each level set of the total payoff…

历史与综述 · 数学 2024-03-14 Julie Rowlett

Game-theoretic interactions with AI agents could differ from traditional human-human interactions in various ways. One such difference is that it may be possible to simulate an AI agent (for example because its source code is known), which…

计算机科学与博弈论 · 计算机科学 2024-03-21 Vojtech Kovarik , Caspar Oesterheld , Vincent Conitzer

This work introduces a unified framework for analyzing games in greater depth. In the existing literature, players' strategies are typically assigned scalar values, and equilibrium concepts are used to identify compatible choices. However,…

计算机科学与博弈论 · 计算机科学 2026-02-04 Melih İşeri , Erhan Bayraktar

Network games provide a powerful framework for modeling agent interactions in networked systems, where players are represented by nodes in a graph and their payoffs depend on the actions taken by their neighbors. Extending the framework of…

最优化与控制 · 数学 2025-12-17 Constantin Ickstadt , Thorsten Theobald , Elias Tsigaridas , Antonios Varvitsiotis

There are multiple notions of coalitional responsibility. The focus of this paper is on the blameworthiness defined through the principle of alternative possibilities: a coalition is blamable for a statement if the statement is true, but…

人工智能 · 计算机科学 2018-11-08 Pavel Naumov , Jia Tao

Although the definition of what empathetic preferences exactly are is still evolving, there is a general consensus in the psychology, science and engineering communities that the evolution toward players' behaviors in interactive…

计算机科学与博弈论 · 计算机科学 2017-08-08 Brian Powers , Michalis Smyrnakis , Hamidou Tembine

In this note, we prove the existence of an equilibrium concept, dubbed conditional strategy equilibrium, for non-cooperative games in which a strategy of a player is a function from the other players' actions to her own actions. We study…

理论经济学 · 经济学 2022-05-09 Lorenzo Bastianello , Mehmet S. Ismail

Using methods from the statistical mechanics of disordered systems we analyze the properties of bimatrix games with random payoffs in the limit where the number of pure strategies of each player tends to infinity. We analytically calculate…

无序系统与神经网络 · 物理学 2009-10-31 Johannes Berg

We study stochastic evolution of optional games on simple graphs. There are two strategies, A and B, whose interaction is described by a general payoff matrix. In addition there are one or several possibilities to opt out from the game by…

种群与进化 · 定量生物学 2014-05-19 Hyeong-Chai Jeong , Seung-Yoon Oh , Benjamin Allen , Martin A. Nowak

Complex networks are a great tool for simulating the outcomes of different strategies used within the iterated prisoners' dilemma game. However, because the strategies themselves rely on the connection between nodes, then initial network…

物理与社会 · 物理学 2022-08-30 Louis Zhao , Chen Ye Gan , Minglu Zhao

We propose a novel network formation game that explains the emergence of various hierarchical structures in groups where self-interested or utility-maximizing individuals decide to establish or severe relationships of authority or…

计算机科学与博弈论 · 计算机科学 2021-09-15 Pedro Cisneros-Velarde , Francesco Bullo

We demonstrate that a ubiquitous feature of network games, bilateral strategic interactions, is equivalent to having player utilities that are additively separable across opponents. We distinguish two formal notions of bilateral strategic…

理论经济学 · 经济学 2026-02-20 Joseph Root , Evan Sadler

Various social dilemma games that follow different strategy updating rules have been studied on many networks.The reported results span the entire spectrum, from significantly boosting,to marginally affecting,to seriously decreasing the…

物理与社会 · 物理学 2015-06-17 Qiang Zhang , Tianxiao Qi , Keqiang Li , Zengru Di , Jinshan Wu

The research on coalitional games has focused on how to share the reward among a coalition such that players are incentivised to collaborate together. It assumes that the (deterministic or stochastic) characteristic function is known in…

计算机科学与博弈论 · 计算机科学 2019-10-28 Dengji Zhao , Yiqing Huang , Liat Cohen , Tal Grinshpoun

Many distributed systems can be modeled as network games: a collection of selfish players that communicate in order to maximize their individual utilities. The performance of such games can be evaluated through the costs of the system…

分布式、并行与集群计算 · 计算机科学 2015-05-18 Petr Kuznetsov , Stefan Schmid

We study two-player security games which can be viewed as sequences of nonzero-sum matrix games played by an Attacker and a Defender. The evolution of the game is based on a stochastic fictitious play process. Players do not have access to…

计算机科学与博弈论 · 计算机科学 2010-03-16 Kien C. Nguyen , Tansu Alpcan , Tamer Basar

Game theory is the standard tool used to model strategic interactions in evolutionary biology and social science. Traditional game theory studies the equilibria of simple games. But is traditional game theory applicable if the game is…

混沌动力学 · 物理学 2011-09-22 Tobias Galla , J. Doyne Farmer

We present new data structures for representing symmetric normal-form games. These data structures are optimized for efficiently computing the expected utility of each unilateral pure-strategy deviation from a symmetric mixed-strategy…

计算机科学与博弈论 · 计算机科学 2023-04-07 Bryce Wiedenbeck , Erik Brinkman

Game theory has by now found numerous applications in various fields, including economics, industry, jurisprudence, and artificial intelligence, where each player only cares about its own interest in a noncooperative or cooperative manner,…

计算机科学与博弈论 · 计算机科学 2022-07-19 Xiuxian Li , Min Meng , Yiguang Hong , Jie Chen

We investigate uniformity properties of strategies. These properties involve sets of plays in order to express useful constraints on strategies that are not \mu-calculus definable. Typically, we can state that a strategy is…

计算机科学与博弈论 · 计算机科学 2013-03-05 Bastien Maubert , Sophie Pinchinat , Laura Bozzelli