Discrete Dynamics in Evolutionary Games

This paper furnishes a guide for the study of 2-dimensional evolutionary games in discrete time. Evolutionarily stable strategies are identified and nonlinear outcomes are explored. Besides the baseline payoffs of the established strategic interaction, the following elements are also vital to determ...

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Main Author: Orlando Gomes
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2012/416789
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author Orlando Gomes
author_facet Orlando Gomes
author_sort Orlando Gomes
collection DOAJ
description This paper furnishes a guide for the study of 2-dimensional evolutionary games in discrete time. Evolutionarily stable strategies are identified and nonlinear outcomes are explored. Besides the baseline payoffs of the established strategic interaction, the following elements are also vital to determine the dynamic outcome of a game: the initial fitness of each agent and the rule of motion that describes how individuals switch between strategies. In addition to the dynamic rule commonly used in evolutionary games, the replicator dynamics, we propose another rule, which acknowledges the role of expectations and sophisticates the replicator mechanism.
format Article
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series Discrete Dynamics in Nature and Society
spelling doaj-art-bb59316c54324c4dbae9b43b909b7b732025-02-03T01:03:02ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/416789416789Discrete Dynamics in Evolutionary GamesOrlando Gomes0Business Research Unit (UNIDE), Instituto Universitário de Lisboa (ISCTE-IUL) and Instituto Superior de Contabilidade e Administração de Lisboa (ISCAL/IPL), 1069-035 Lisbon, PortugalThis paper furnishes a guide for the study of 2-dimensional evolutionary games in discrete time. Evolutionarily stable strategies are identified and nonlinear outcomes are explored. Besides the baseline payoffs of the established strategic interaction, the following elements are also vital to determine the dynamic outcome of a game: the initial fitness of each agent and the rule of motion that describes how individuals switch between strategies. In addition to the dynamic rule commonly used in evolutionary games, the replicator dynamics, we propose another rule, which acknowledges the role of expectations and sophisticates the replicator mechanism.http://dx.doi.org/10.1155/2012/416789
spellingShingle Orlando Gomes
Discrete Dynamics in Evolutionary Games
Discrete Dynamics in Nature and Society
title Discrete Dynamics in Evolutionary Games
title_full Discrete Dynamics in Evolutionary Games
title_fullStr Discrete Dynamics in Evolutionary Games
title_full_unstemmed Discrete Dynamics in Evolutionary Games
title_short Discrete Dynamics in Evolutionary Games
title_sort discrete dynamics in evolutionary games
url http://dx.doi.org/10.1155/2012/416789
work_keys_str_mv AT orlandogomes discretedynamicsinevolutionarygames