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- W1974966899 abstract "We consider a system of adaptive self-interested agents interacting by playing an iterated pairwise prisoner's dilemma (PD) game. Each player has two options: either cooperate (C) or defect (D). Agents have no (long term) memory to reciprocate nor identifying tags to distinguish C from D. We show how their 16 possible elementary Markovian (one-step memory) strategies can be cast in a simple general formalism in terms of an estimator of expected utilities ${ensuremath{Delta}}^{*}$. This formalism is helpful to map a subset of these strategies into an Ising Hamiltonian in a straightforward way. This connection in turn serves to shed light on the evolution of the iterated games played by agents, which can represent a broad variety of individuals from firms of a market to species coexisting in an ecosystem. Additionally, this magnetic description may be useful to introduce noise in a natural and simple way. The equilibrium states reached by the system depend strongly on whether the dynamics are synchronous or asynchronous and also on the system connectivity." @default.
- W1974966899 created "2016-06-24" @default.
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- W1974966899 date "2005-01-25" @default.
- W1974966899 modified "2023-10-01" @default.
- W1974966899 title "Extended estimator approach for2×2games and its mapping to the Ising Hamiltonian" @default.
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- W1974966899 doi "https://doi.org/10.1103/physreve.71.016132" @default.
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