Advances in Complex Systems (Impact Factor: 0.79). 12/2002; 05(04):433-443. DOI: 10.1142/S0219525902000614
Source: RePEc

ABSTRACT The stability of some spatial asymmetric games is discussed. Both linear and nonlinear asymptotic stability of asymmetric hawk-dove and prisoner's dilemma are studied. Telegraph reaction diffusion equations for the asymmetric spatial games are presented. Asymmetric games of parental investment is studied in the presence of both ordinary and cross diffusions.

  • [Show abstract] [Hide abstract]
    ABSTRACT: The condition of cooperation in social conflicts of interest has been an interesting topic. On the one hand people usually desire to make their own profit. On the other hand, they mutually cooperate. This fact has motivated many researchers. Some solutions for this question have been proposed, and particular studies indicate that the diversity in decision-making or relationships promotes cooperation. In this research, we achieve the diversity by utilizing the novel method that refers to the mechanism of correction regarding each probability that every strategy comes to the representative by decision-making of group. This mechanism works when difference between the probability of the first and others becomes quite large. If once every group adopts this corrected decision, he/she achieves mutual cooperation of high level in the sequential prisoner's dilemma game in case the number of strategies (= players) is within the definite range. We also note that this game can effectively describe the property of evolution of strategy only with a small number of players. When each group has many players, in contrast to previous research, the decision with correction also has an effect on the suppression of prevalence of defection. In addition, we also show that the decision of this model is analogous to the system of redistribution of revenue, which provides balance of strength between several teams in professional sports.
    Advances in Complex Systems 11/2011; 14:377-401. · 0.79 Impact Factor
  • Source
    [Show abstract] [Hide abstract]
    ABSTRACT: The concept of cross diffusion is applied to some biological systems. The conditions for persistence and Turing instability in the presence of cross diffusion are derived. Many examples including: predator-prey, epidemics (with and without delay), hawk–dove–retaliate and prisoner's dilemma games are given.
    Advances in Complex Systems 11/2011; 07(01). · 0.79 Impact Factor

Full-text (2 Sources)

Available from
Jun 1, 2014