Limits...
Short versus long term benefits and the evolution of cooperation in the prisoner's dilemma game.

Brede M - PLoS ONE (2013)

Bottom Line: In the monochrome setting, in which all agents per default share the same performance evaluation rule, weighing past events strongly dramatically enhances the prevalence of cooperators.For co-evolutionary models, in which evaluation time horizons and strategies can co-evolve, I demonstrate that cooperation naturally associates with long-term evaluation of others while defection is typically paired with very short time horizons.Payoff averaging is also found to emerge as the dominant strategy for cooperators in co-evolutionary models, thus proposing a natural route to the evolution of cooperation in viscous populations.

View Article: PubMed Central - PubMed

Affiliation: Department of Electronics and Computer Science, University of Southampton, Southampton, Hampshire, United Kingdom.

ABSTRACT
In this paper I investigate the evolution of cooperation in the prisoner's dilemma when individuals change their strategies subject to performance evaluation of their neighbours over variable time horizons. In the monochrome setting, in which all agents per default share the same performance evaluation rule, weighing past events strongly dramatically enhances the prevalence of cooperators. For co-evolutionary models, in which evaluation time horizons and strategies can co-evolve, I demonstrate that cooperation naturally associates with long-term evaluation of others while defection is typically paired with very short time horizons. Moreover, considering the continuous spectrum in between enhanced and discounted weights of past performance, cooperation is optimally supported when cooperators neither give enhanced weight to past nor more recent events, but simply average payoffs. Payoff averaging is also found to emerge as the dominant strategy for cooperators in co-evolutionary models, thus proposing a natural route to the evolution of cooperation in viscous populations.

Show MeSH

Related in: MedlinePlus

Dependence of cooperation on the choice of perspectives forandon atorus. Support for cooperation generally grows, the larger  and , but if one of the perspectives is smaller than one, cooperation is optimally supported if the other perspective averages payoff histories (i.e. ).
© Copyright Policy
Related In: Results  -  Collection


getmorefigures.php?uid=PMC3569424&req=5

pone-0056016-g009: Dependence of cooperation on the choice of perspectives forandon atorus. Support for cooperation generally grows, the larger and , but if one of the perspectives is smaller than one, cooperation is optimally supported if the other perspective averages payoff histories (i.e. ).

Mentions: We thus see that cooperation not only naturally associates with an ‘averaging’ perspective, but averaging is indeed also the perspective that maximizes support for cooperation. Strictly speaking, the above experiments only demonstrate this for competition between a long term perspective and basing performance on payoffs from the last game interaction (i.e. ). Some further experiments clarify the situation for competition between arbitrary perspectives, cf. the map plot of Fig. 9. These results clearly highlight that over a large range of ) values cooperation is maximized when it can associate with averaging. In fact, this is always the case, if or . Only if and the scenario described in the previous subsection applies. In this regime, cooperation grows the larger the value of delta.


Short versus long term benefits and the evolution of cooperation in the prisoner's dilemma game.

Brede M - PLoS ONE (2013)

Dependence of cooperation on the choice of perspectives forandon atorus. Support for cooperation generally grows, the larger  and , but if one of the perspectives is smaller than one, cooperation is optimally supported if the other perspective averages payoff histories (i.e. ).
© Copyright Policy
Related In: Results  -  Collection

Show All Figures
getmorefigures.php?uid=PMC3569424&req=5

pone-0056016-g009: Dependence of cooperation on the choice of perspectives forandon atorus. Support for cooperation generally grows, the larger and , but if one of the perspectives is smaller than one, cooperation is optimally supported if the other perspective averages payoff histories (i.e. ).
Mentions: We thus see that cooperation not only naturally associates with an ‘averaging’ perspective, but averaging is indeed also the perspective that maximizes support for cooperation. Strictly speaking, the above experiments only demonstrate this for competition between a long term perspective and basing performance on payoffs from the last game interaction (i.e. ). Some further experiments clarify the situation for competition between arbitrary perspectives, cf. the map plot of Fig. 9. These results clearly highlight that over a large range of ) values cooperation is maximized when it can associate with averaging. In fact, this is always the case, if or . Only if and the scenario described in the previous subsection applies. In this regime, cooperation grows the larger the value of delta.

Bottom Line: In the monochrome setting, in which all agents per default share the same performance evaluation rule, weighing past events strongly dramatically enhances the prevalence of cooperators.For co-evolutionary models, in which evaluation time horizons and strategies can co-evolve, I demonstrate that cooperation naturally associates with long-term evaluation of others while defection is typically paired with very short time horizons.Payoff averaging is also found to emerge as the dominant strategy for cooperators in co-evolutionary models, thus proposing a natural route to the evolution of cooperation in viscous populations.

View Article: PubMed Central - PubMed

Affiliation: Department of Electronics and Computer Science, University of Southampton, Southampton, Hampshire, United Kingdom.

ABSTRACT
In this paper I investigate the evolution of cooperation in the prisoner's dilemma when individuals change their strategies subject to performance evaluation of their neighbours over variable time horizons. In the monochrome setting, in which all agents per default share the same performance evaluation rule, weighing past events strongly dramatically enhances the prevalence of cooperators. For co-evolutionary models, in which evaluation time horizons and strategies can co-evolve, I demonstrate that cooperation naturally associates with long-term evaluation of others while defection is typically paired with very short time horizons. Moreover, considering the continuous spectrum in between enhanced and discounted weights of past performance, cooperation is optimally supported when cooperators neither give enhanced weight to past nor more recent events, but simply average payoffs. Payoff averaging is also found to emerge as the dominant strategy for cooperators in co-evolutionary models, thus proposing a natural route to the evolution of cooperation in viscous populations.

Show MeSH
Related in: MedlinePlus