Agents with Heterogeneous Strategies Interacting in a Spatial IPD

Frank Schweitzer (), Robert Mach and Heinz Mühlenbein
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Frank Schweitzer: Schloss Birlinghoven
Robert Mach: Schloss Birlinghoven
Heinz Mühlenbein: Schloss Birlinghoven

A chapter in Nonlinear Dynamics and Heterogeneous Interacting Agents, 2005, pp 87-102 from Springer

Abstract: Summary We use a spatial iterated Prisoner's Dilemma game (IPD) to investigate the spatial-temporal evolution of heterogeneity in agents' strategies. In our model, N agents are spatially distributed on a lattice and each agent is assumed to interact with her 4 local neighbors a number of n g times during each generation. If the agent has a one-step memory for the last action of each individual neighbor, this results in a total of eight different strategies for the game. After each generation, the agent will be replaced by an offspring that adopts the strategy of her most successful neighbor. The agents are heterogeneous in that they play different strategies dependent on (i) their past experience, (ii) their local neighborhood. The spatial-temporal distribution of these strategies is investigated by means of computer simulations on a cellular automaton. In particular, we study the incluence of n g on the dynamics of the global frequencies of the different strategies and the conditions for a stationary (frozen) or non-stationary (dynamic) coexistence of particular strategies on a spatial scale.

Keywords: Cellular Automaton; Payoff Matrix; Local Configuration; Global Frequency; Spatial Game (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:spr:lnechp:978-3-540-27296-0_7

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DOI: 10.1007/3-540-27296-8_7

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