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We explore the evolutionary dynamics of two games - the Prisoner's Dilemma and the Snowdrift Game - played within distinct networks (layers) of interdependent networks. In these networks imitation and interaction between individuals of…

物理与社会 · 物理学 2014-04-10 M. D. Santos , S. N. Dorogovtsev , J. F. F. Mendes

What does it mean to fully understand the behavior of a network of adaptive agents? The golden standard typically is the behavior of learning dynamics in potential games, where many evolutionary dynamics, e.g., replicator, are known to…

计算机科学与博弈论 · 计算机科学 2016-10-04 Ioannis Panageas , Georgios Piliouras

We study a multi-agent decision problem in population games, where agents select from multiple available strategies and continually revise their selections based on the payoffs associated with these strategies. Unlike conventional…

多智能体系统 · 计算机科学 2024-09-17 Shinkyu Park

Iterated games are a fundamental component of economic and evolutionary game theory. They describe situations where two players interact repeatedly and have the possibility to use conditional strategies that depend on the outcome of…

种群与进化 · 定量生物学 2015-06-12 Christian Hilbe , Martin A. Nowak , Karl Sigmund

We consider three distinct discrete-time models of learning and evolution in games: a biological model based on intra-species selective pressure, the dynamics induced by pairwise proportional imitation, and the exponential / multiplicative…

动力系统 · 数学 2024-02-27 Fryderyk Falniowski , Panayotis Mertikopoulos

We introduce an analytical model to study the evolution towards equilibrium in spatial games, with `memory-aware' agents, i.e., agents that accumulate their payoff over time. In particular, we focus our attention on the spatial Prisoner's…

物理与社会 · 物理学 2016-03-23 Marco Alberto Javarone

A growing number of machine learning architectures, such as Generative Adversarial Networks, rely on the design of games which implement a desired functionality via a Nash equilibrium. In practice these games have an implicit complexity…

机器学习 · 计算机科学 2021-03-08 Gabriel P. Andrade , Rafael Frongillo , Georgios Piliouras

Replicator equation -- a paradigm equation in evolutionary game dynamics -- mathematizes the frequency dependent selection of competing strategies vying to enhance their fitness (quantified by the average payoffs) with respect to the…

混沌动力学 · 物理学 2021-02-18 Varun Pandit , Archan Mukhopadhyay , Sagar Chakraborty

In tacit coordination games with multiple outcomes, purely rational solution concepts, such as Nash equilibria, provide no guidance for which equilibrium to choose. Shelling's theory explains how, in these settings, humans coordinate by…

计算机科学与博弈论 · 计算机科学 2026-02-02 Ido Aharon , Emanuele La Malfa , Michael Wooldridge , Sarit Kraus

We study a multi-agent decision problem in large population games. Agents from multiple populations select strategies for repeated interactions with one another. At each stage of these interactions, agents use their decision-making model to…

系统与控制 · 电气工程与系统科学 2024-12-31 Shinkyu Park , Naomi Ehrich Leonard

Precise description of population game dynamics introduced by revision protocols - an economic model describing the agent's propensity to switch to a better-performing strategy - is of importance in economics and social sciences in general.…

动力系统 · 数学 2025-04-22 Jakub Bielawski , Łukasz Cholewa , Fryderyk Falniowski

Logit dynamics are dynamical systems describing transitions and equilibria of actions of interacting players under uncertainty. An uncertainty is embodied in logit dynamic as a softmax type function often called a logit function originating…

最优化与控制 · 数学 2024-09-26 Hidekazu Yoshioka

The observed cooperation on the level of genes, cells, tissues, and individuals has been the object of intense study by evolutionary biologists, mainly because cooperation often flourishes in biological systems in apparent contradiction to…

种群与进化 · 定量生物学 2010-10-21 Dimitris Iliopoulos , Arend Hintze , Christoph Adami

Dynamic logit models are popular tools in economics to measure state dependence. This paper introduces a new method to derive moment restrictions in a large class of such models with strictly exogenous regressors and fixed effects. We…

计量经济学 · 经济学 2023-12-05 Kevin Dano

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

The emergence of complex networks from evolutionary games is studied occurring when agents are allowed to switch interaction partners. For this purpose a coevolutionary iterated Prisoner's Dilemma game is defined on a random network with…

无序系统与神经网络 · 物理学 2007-05-23 Holger Ebel , Stefan Bornholdt

Solving a reinforcement learning problem typically involves correctly prespecifying the reward signal from which the algorithm learns. Here, we approach the problem of reward signal design by using an evolutionary approach to perform a…

多智能体系统 · 计算机科学 2021-05-19 Rafal Muszynski , Katja Hofmann , Jun Wang

Large language models are increasingly used in strategic decision-making settings, yet evidence shows that, like humans, they often deviate from full rationality. In this study, we compare LLMs and humans using experimental paradigms…

人工智能 · 计算机科学 2025-06-12 Kehan Zheng , Jinfeng Zhou , Hongning Wang

We study an atomic signaling game under stochastic evolutionary dynamics. There is a finite number of players who repeatedly update from a finite number of available languages/signaling strategies. Players imitate the most fit agents with…

概率论 · 数学 2013-12-23 Michael J. Fox , Behrouz Touri , Jeff S. Shamma

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