770 research outputs found
Dynamic aspiration based on Win-Stay-Lose-Learn rule in Spatial Prisoner's Dilemma Gam
Prisoner's dilemma game is the most commonly used model of spatial
evolutionary game which is considered as a paradigm to portray competition
among selfish individuals. In recent years, Win-Stay-Lose-Learn, a strategy
updating rule base on aspiration, has been proved to be an effective model to
promote cooperation in spatial prisoner's dilemma game, which leads aspiration
to receive lots of attention. But in many research the assumption that
individual's aspiration is fixed is inconsistent with recent results from
psychology. In this paper, according to Expected Value Theory and Achievement
Motivation Theory, we propose a dynamic aspiration model based on
Win-Stay-Lose-Learn rule in which individual's aspiration is inspired by its
payoff. It is found that dynamic aspiration has a significant impact on the
evolution process, and different initial aspirations lead to different results,
which are called Stable Coexistence under Low Aspiration, Dependent Coexistence
under Moderate aspiration and Defection Explosion under High Aspiration
respectively. Furthermore, a deep analysis is performed on the local structures
which cause cooperator's existence or defector's expansion, and the evolution
process for different parameters including strategy and aspiration. As a
result, the intrinsic structures leading to defectors' expansion and
cooperators' survival are achieved for different evolution process, which
provides a penetrating understanding of the evolution. Compared to fixed
aspiration model, dynamic aspiration introduces a more satisfactory explanation
on population evolution laws and can promote deeper comprehension for the
principle of prisoner's dilemma.Comment: 17 pages, 13 figure
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