paper

Quantum Prisoner's Dilemma game on hypergraph networks

arXiv:1202.5934 · doi:10.1016/j.physa.2012.10.034

Abstract

We study the possible advantages of adopting of quantum strategies in multi-player evolutionary games. We base our study on the three-player Prisoner's Dilemma (PD) game. In order to model the simultaneous interaction between three agents we use hypergraphs and hypergraph networks. In particular, we study two types of networks: a random network and a SF-like network. The obtained results show that in the case of a three player game on a hypergraph network, quantum strategies are not necessarily stochastically stable strategies. In some cases, the defection strategy can be as good as a quantum one.

6 pages, 5 figures. arXiv admin note: text overlap with arXiv:quant-ph/0004076 by other authors

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