Cooperative quantum Parrondo's games

Abstract

Coordination and cooperation are among the most important issues of game theory. Recently, the attention turned to game theory on graphs and social networks. Encouraged by interesting results obtained in quantum evolutionary game analysis, we study cooperative Parrondo's games in a quantum setup. The game is modeled using multidimensional quantum random walks with biased coins. We use the GHZ and W entangled states as the initial state of the coins. Our analysis shows than an apparent paradox in cooperative quantum games and some interesting phenomena can be observed.

13 pages, 10 figures

References in corpus (1)

• Social Dilemmas and Cooperation in Complex Networks

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• Weak stochastic ratchets and dynamic localization in measurement-induced quantum trajectories
• Quantum walks on hypergraphs
• Social optimality in quantum Bayesian games
• On the equivalence between non-factorizable mixed-strategy classical games and quantum games