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Related papers: Imitation in Large Games

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Decision-making individuals are often considered to be either imitators who copy the action of their most successful neighbors or best-responders who maximize their benefit against the current actions of their neighbors. In the context of…

Dynamical Systems · Mathematics 2023-08-03 Nazanin Hasheminejad , Pouria Ramazi

We study variants of regular infinite games where the strict alternation of moves between the two players is subject to modifications. The second player may postpone a move for a finite number of steps, or, in other words, exploit in his…

Formal Languages and Automata Theory · Computer Science 2015-07-01 Michael Holtmann , Lukasz Kaiser , Wolfgang Thomas

Under certain circumstances such as lack of information or bounded rationality, human players can take decisions on which strategy to choose in a game on the basis of simple opinions. These opinions can be modified after each round by…

Physics and Society · Physics 2015-06-05 Floriana Gargiulo , Jose J. Ramasco

We study two-player games on finite graphs. Turn-based games have many nice properties, but concurrent games are harder to tame: e.g. turn-based stochastic parity games have positional optimal strategies, whereas even basic concurrent…

Computer Science and Game Theory · Computer Science 2023-11-27 Benjamin Bordais , Patricia Bouyer , Stéphane Le Roux

A matching game is a cooperative profit game defined on an edge-weighted graph, where the players are the vertices and the profit of a coalition is the maximum weight of matchings in the subgraph induced by the coalition. A population…

Computer Science and Game Theory · Computer Science 2021-05-04 Han Xiao , Qizhi Fang

Animal behavior and evolution can often be described by game-theoretic models. Although in many situations, the number of players is very large, their strategic interactions are usually decomposed into a sum of two-player games. Only…

Populations and Evolution · Quantitative Biology 2007-05-23 Dominik Kaminski , Jacek Miekisz , Marcin Zaborowski

Protecting against adversarial attacks is a common multiagent problem. Attackers in the real world are predominantly human actors, and the protection methods often incorporate opponent models to improve the performance when facing humans.…

Artificial Intelligence · Computer Science 2023-11-29 David Milec , Viliam Lisý , Christopher Kiekintveld

The general picture of game theoretic modeling dealt with here is characterized by a set of big players, also referred to as principals or major agents, acting on the background of large pools of small players, the impact of the behavior of…

Optimization and Control · Mathematics 2019-11-12 Vassili N. Kolokoltsov , Oleg A. Malafeyev

In applied game theory the motivation of players is a key element. It is encoded in the payoffs of the game form and often based on utility functions. But there are cases were formal descriptions in the form of a utility function do not…

Computer Science and Game Theory · Computer Science 2015-06-04 Jules Hedges , Paulo Oliva , Evguenia Sprits , Viktor Winschel , Philipp Zahn

Log-linear learning has been extensively studied in both the game theoretic and distributed control literature. It is appealing for many applications because it often guarantees that the agents' collective behavior will converge in…

Computer Science and Game Theory · Computer Science 2015-11-19 Holly Borowski , Jason Marden

We examine the long-run behavior of a wide range of dynamics for learning in nonatomic games, in both discrete and continuous time. The class of dynamics under consideration includes fictitious play and its regularized variants, the…

Computer Science and Game Theory · Computer Science 2021-07-06 Saeed Hadikhanloo , Rida Laraki , Panayotis Mertikopoulos , Sylvain Sorin

We consider an integro-differential model for evolutionary game theory which describes the evolution of a population adopting mixed strategies. Using a reformulation based on the first moments of the solution, we prove some analytical…

Populations and Evolution · Quantitative Biology 2011-12-19 A. Boccabella , R. Natalini , L. Pareschi

Evolutionary game dynamics of two players with two strategies has been studied in great detail. These games have been used to model many biologically relevant scenarios, ranging from social dilemmas in mammals to microbial diversity. Some…

Populations and Evolution · Quantitative Biology 2010-03-31 Chaitanya S. Gokhale , Arne Traulsen

We integrate dual-process theories of human cognition with evolutionary game theory to study the evolution of automatic and controlled decision-making processes. We introduce a model where agents who make decisions using either automatic or…

Dynamical Systems · Mathematics 2015-07-07 Danielle F. P. Toupo , Steven H. Strogatz , Jonathan D. Cohen , David G. Rand

We study a complementarity game as a systematic tool for the investigation of the interplay between individual optimization and population effects and for the comparison of different strategy and learning schemes. The game randomly pairs…

Populations and Evolution · Quantitative Biology 2010-11-17 Juergen Jost , Wei Li

Retaining players over an extended period of time is a long-standing challenge in game industry. Significant effort has been paid to understanding what motivates players enjoy games. While individuals may have varying reasons to play or…

Social and Information Networks · Computer Science 2017-02-28 Kunwoo Park , Meeyoung Cha , Haewoon Kwak , Kuan-Ta Chen

We develop the fictitious play algorithm in the context of the linear programming approach for mean field games of optimal stopping and mean field games with regular control and absorption. This algorithm allows to approximate the mean…

Optimization and Control · Mathematics 2023-01-25 Roxana Dumitrescu , Marcos Leutscher , Peter Tankov

Evolutionary game theory is a common framework to study the evolution of cooperation, where it is usually assumed that the same game is played in all interactions. Here, we investigate a model where the game that is played by two…

Physics and Society · Physics 2015-10-21 Marco A. Amaral , Jafferson K. L. da Silva , Lucas Wardil

Evolutionary game dynamics with two 2-strategy games in a finite population has been investigated in this study. Traditionally, frequency-dependent evolutionary dynamics are modeled by deterministic replicator dynamics under the assumption…

Populations and Evolution · Quantitative Biology 2013-06-03 Koh Hashimoto

Stochastic games are a natural model for the synthesis of controllers confronted to adversarial and/or random actions. In particular, $\omega$-regular games of infinite length can represent reactive systems which are not expected to reach a…

Computer Science and Game Theory · Computer Science 2009-02-17 Florian Horn
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