Cargando…

Evolution of Cooperation in Spatial Traveler's Dilemma Game

Traveler's dilemma (TD) is one of social dilemmas which has been well studied in the economics community, but it is attracted little attention in the physics community. The TD game is a two-person game. Each player can select an integer value between [Image: see text] and [Image: see text] ([Im...

Descripción completa

Detalles Bibliográficos
Autores principales: Li, Rong-Hua, Yu, Jeffrey Xu, Lin, Jiyuan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2013
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3603963/
https://www.ncbi.nlm.nih.gov/pubmed/23526998
http://dx.doi.org/10.1371/journal.pone.0058597
_version_ 1782263730114920448
author Li, Rong-Hua
Yu, Jeffrey Xu
Lin, Jiyuan
author_facet Li, Rong-Hua
Yu, Jeffrey Xu
Lin, Jiyuan
author_sort Li, Rong-Hua
collection PubMed
description Traveler's dilemma (TD) is one of social dilemmas which has been well studied in the economics community, but it is attracted little attention in the physics community. The TD game is a two-person game. Each player can select an integer value between [Image: see text] and [Image: see text] ([Image: see text]) as a pure strategy. If both of them select the same value, the payoff to them will be that value. If the players select different values, say [Image: see text] and [Image: see text] ([Image: see text]), then the payoff to the player who chooses the small value will be [Image: see text] and the payoff to the other player will be [Image: see text]. We term the player who selects a large value as the cooperator, and the one who chooses a small value as the defector. The reason is that if both of them select large values, it will result in a large total payoff. The Nash equilibrium of the TD game is to choose the smallest value [Image: see text]. However, in previous behavioral studies, players in TD game typically select values that are much larger than [Image: see text], and the average selected value exhibits an inverse relationship with [Image: see text]. To explain such anomalous behavior, in this paper, we study the evolution of cooperation in spatial traveler's dilemma game where the players are located on a square lattice and each player plays TD games with his neighbors. Players in our model can adopt their neighbors' strategies following two standard models of spatial game dynamics. Monte-Carlo simulation is applied to our model, and the results show that the cooperation level of the system, which is proportional to the average value of the strategies, decreases with increasing [Image: see text] until [Image: see text] is greater than the critical value where cooperation vanishes. Our findings indicate that spatial reciprocity promotes the evolution of cooperation in TD game and the spatial TD game model can interpret the anomalous behavior observed in previous behavioral experiments.
format Online
Article
Text
id pubmed-3603963
institution National Center for Biotechnology Information
language English
publishDate 2013
publisher Public Library of Science
record_format MEDLINE/PubMed
spelling pubmed-36039632013-03-22 Evolution of Cooperation in Spatial Traveler's Dilemma Game Li, Rong-Hua Yu, Jeffrey Xu Lin, Jiyuan PLoS One Research Article Traveler's dilemma (TD) is one of social dilemmas which has been well studied in the economics community, but it is attracted little attention in the physics community. The TD game is a two-person game. Each player can select an integer value between [Image: see text] and [Image: see text] ([Image: see text]) as a pure strategy. If both of them select the same value, the payoff to them will be that value. If the players select different values, say [Image: see text] and [Image: see text] ([Image: see text]), then the payoff to the player who chooses the small value will be [Image: see text] and the payoff to the other player will be [Image: see text]. We term the player who selects a large value as the cooperator, and the one who chooses a small value as the defector. The reason is that if both of them select large values, it will result in a large total payoff. The Nash equilibrium of the TD game is to choose the smallest value [Image: see text]. However, in previous behavioral studies, players in TD game typically select values that are much larger than [Image: see text], and the average selected value exhibits an inverse relationship with [Image: see text]. To explain such anomalous behavior, in this paper, we study the evolution of cooperation in spatial traveler's dilemma game where the players are located on a square lattice and each player plays TD games with his neighbors. Players in our model can adopt their neighbors' strategies following two standard models of spatial game dynamics. Monte-Carlo simulation is applied to our model, and the results show that the cooperation level of the system, which is proportional to the average value of the strategies, decreases with increasing [Image: see text] until [Image: see text] is greater than the critical value where cooperation vanishes. Our findings indicate that spatial reciprocity promotes the evolution of cooperation in TD game and the spatial TD game model can interpret the anomalous behavior observed in previous behavioral experiments. Public Library of Science 2013-03-20 /pmc/articles/PMC3603963/ /pubmed/23526998 http://dx.doi.org/10.1371/journal.pone.0058597 Text en © 2013 Li et al http://creativecommons.org/licenses/by/4.0/ This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are properly credited.
spellingShingle Research Article
Li, Rong-Hua
Yu, Jeffrey Xu
Lin, Jiyuan
Evolution of Cooperation in Spatial Traveler's Dilemma Game
title Evolution of Cooperation in Spatial Traveler's Dilemma Game
title_full Evolution of Cooperation in Spatial Traveler's Dilemma Game
title_fullStr Evolution of Cooperation in Spatial Traveler's Dilemma Game
title_full_unstemmed Evolution of Cooperation in Spatial Traveler's Dilemma Game
title_short Evolution of Cooperation in Spatial Traveler's Dilemma Game
title_sort evolution of cooperation in spatial traveler's dilemma game
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3603963/
https://www.ncbi.nlm.nih.gov/pubmed/23526998
http://dx.doi.org/10.1371/journal.pone.0058597
work_keys_str_mv AT lironghua evolutionofcooperationinspatialtravelersdilemmagame
AT yujeffreyxu evolutionofcooperationinspatialtravelersdilemmagame
AT linjiyuan evolutionofcooperationinspatialtravelersdilemmagame