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We study the effects of individual perceptions of payoffs in two-player games. In particular we consider the setting in which individuals' perceptions of the game are influenced by their previous experiences and outcomes. Accordingly, we…

计算机科学与博弈论 · 计算机科学 2019-06-05 Alberto Antonioni , Luis A. Martinez-Vaquero , Cole Mathis , Leto Peel , Massimo Stella

Here we consider a game theoretic model of multilevel selection in which individuals compete based on their payoff and groups also compete based on the average payoff of group members. Our focus is on multilevel social dilemmas: games in…

种群与进化 · 定量生物学 2019-12-10 Daniel B. Cooney

We use ideas from distributed computing and game theory to study dynamic and decentralized environments in which computational nodes, or decision makers, interact strategically and with limited information. In such environments, which arise…

计算机科学与博弈论 · 计算机科学 2017-04-06 Aaron D. Jaggard , Neil Lutz , Michael Schapira , Rebecca N. Wright

We consider tit-for-tat dynamics in production markets, where there is a set of $n$ players connected via a weighted graph. Each player $i$ can produce an eponymous good using its linear production function, given as input various amounts…

计算机科学与博弈论 · 计算机科学 2024-01-17 Simina Brânzei

We analyze the influence of multiplayer interactions and network adaptation on the stability of equilibrium points in evolutionary games. We consider the Snowdrift game with both two-player and three-player interactions on simplicial…

适应与自组织系统 · 物理学 2022-06-08 Daniela Schlager , Konstantin Clauß , Christian Kuehn

Decision-making individuals often imitate their highest-earning fellows rather than optimize their own utilities, due to bounded rationality and incomplete information. Perpetual fluctuations between decisions have been reported as the…

系统与控制 · 电气工程与系统科学 2023-02-16 Yiheng Fu , Pouria Ramazi

Repeated interaction between individuals is the main mechanism for maintaining cooperation in social dilemma situations. Variants of tit-for-tat (repeating the previous action of the opponent) and the win-stay lose-shift strategy are known…

种群与进化 · 定量生物学 2011-11-08 Shoma Tanabe , Naoki Masuda

Players of coevolutionary games may update not only their strategies but also their networks of interaction. Based on interpreting the payoff of players as fitness, dynamic landscape models are proposed. The modeling procedure is carried…

种群与进化 · 定量生物学 2017-03-16 Hendrik Richter

In this paper, we consider a discrete-time stochastic Stackelberg game with a single leader and multiple followers. Both the followers and the leader together have conditionally independent private types, conditioned on action and previous…

最优化与控制 · 数学 2022-09-21 Deepanshu Vasal

We introduce differential games for FO logic of graphs, a variant of Ehrenfeucht-Fra\"{i}ss\'e games in which the game is played on only one graph and the moves of both players restricted. We prove that, in a certain sense, these games are…

计算机科学中的逻辑 · 计算机科学 2020-07-23 Jakub Gajarský , Maximilian Gorsky , Stephan Kreutzer

We introduce and study an evolutionary complementarity game where in each round a player of population 1 is paired with a member of population 2. The game is symmetric, and each player tries to obtain an advantageous deal, but when one of…

适应与自组织系统 · 物理学 2015-06-26 Juergen Jost , Wei Li

The emergence of collective cooperation in competitive environments is a well-known phenomenon in biology, economics, and social systems. While most evolutionary game models focus on the evolution of strategies for a fixed game, how…

物理与社会 · 物理学 2024-08-01 Onkar Sadekar , Andrea Civilini , Jesús Gómez-Gardeñes , Vito Latora , Federico Battiston

It is generally believed that in a situation where individual and collective interests are in conflict, the availability of optional participation is a key mechanism to maintain cooperation. Surprisingly, this effect is sensitive to the use…

物理与社会 · 物理学 2023-06-21 Marcos Cardinot , Colm O'Riordan , Josephine Griffith , Attila Szolnoki

A network model based on players' aspirations is proposed and analyzed theoretically and numerically within the framework of evolutionary game theory. In this model, players decide whether to cooperate or defect by comparing their payoffs…

物理与社会 · 物理学 2025-02-06 M. Aguilar-Janita , N. Khalil , I. Leyva , I. Sendiña-Nadal

Game logic is a dynamic modal logic which models strategic two person games; it contains propositional dynamic logic (PDL) as a fragment. We propose an interpretation of game logic based on stochastic effectivity functions. A definition of…

计算机科学中的逻辑 · 计算机科学 2014-04-01 Ernst-Erich Doberkat

We explore the coupled dynamics of the internal states of a set of interacting elements and the network of interactions among them. Interactions are modeled by a spatial game and the network of interaction links evolves adapting to the…

其他凝聚态物理 · 物理学 2007-09-23 Martin G. Zimmermann , Victor M. Eguiluz , Maxi San Miguel

This work studies a dynamic, adversarial resource allocation problem in environments modeled as graphs. A blue team of defender robots are deployed in the environment to protect the nodes from a red team of attacker robots. We formulate the…

系统与控制 · 电气工程与系统科学 2021-12-21 Daigo Shishika , Yue Guan , Michael Dorothy , Vijay Kumar

Game theory deals with strategic interactions among players and evolutionary game dynamics tracks the fate of the players' populations under selection. In this paper, we consider the replicator equation for two-player-two-strategy games…

适应与自组织系统 · 物理学 2021-02-22 Sourabh Mittal , Archan Mukhopadhyay , Sagar Chakraborty

We will study a population of individuals playing the infinitely repeated Prisoner's Dilemma under replicator dynamics. The population consists of three kinds of individuals using the following reactive strategies: ALLD (individuals which…

种群与进化 · 定量生物学 2015-09-04 Irene Núñez Rodríguez , Armando G. M. Neves

In this paper we establish efficient and \emph{uncoupled} learning dynamics so that, when employed by all players in a general-sum multiplayer game, the \emph{swap regret} of each player after $T$ repetitions of the game is bounded by…

计算机科学与博弈论 · 计算机科学 2022-10-07 Ioannis Anagnostides , Gabriele Farina , Christian Kroer , Chung-Wei Lee , Haipeng Luo , Tuomas Sandholm
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