In this study, the Prisoner's Dilemma is implemented using a network. In the conventional model, the problem is that as the parameters increase, the number of Defectors increases, and Co-operators are eliminated. To solve this problem, we have introduced memory into our model. However, it is well known that Co-operators cannot be maintained simply by introducing memory unless a long past is considered, but it is not realistic to remember the long past accurately. Therefore, we were able to create a model that can maintain Co-operators even with short-term memory by introducing a rule to update to a strategy that has not been experienced much in the past. In particular, this model focuses on one past interaction of a player and adjacent players to consider the neighbour's influence.

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Robustness of Short-Term Memory Models on Networks in Spatial Prisoner’s Dilemma

  • Akihiro Takahara,
  • Tomoko Sakiyama

摘要

In this study, the Prisoner's Dilemma is implemented using a network. In the conventional model, the problem is that as the parameters increase, the number of Defectors increases, and Co-operators are eliminated. To solve this problem, we have introduced memory into our model. However, it is well known that Co-operators cannot be maintained simply by introducing memory unless a long past is considered, but it is not realistic to remember the long past accurately. Therefore, we were able to create a model that can maintain Co-operators even with short-term memory by introducing a rule to update to a strategy that has not been experienced much in the past. In particular, this model focuses on one past interaction of a player and adjacent players to consider the neighbour's influence.