Strategies and payoffs in quantum minoritygames

Puya Sharif, Hoshang Heydari, Andrei Yu. Khrenniko, Gregg S. Jaeger, M. Schlosshauer, G. Weihs · AIP conference proceedings · 2011

Game theory is the mathematical framework for analyzing strategic interactions in conflict and competition situations.In recent years quantum game theory has earned the attention of physicists, and has emerged as a branch of quantum information theory [1].With the aid of entanglement and linear superposition of strategies, quantum games are shown to yield significant advantage over their classical counterparts.In this paper we explore optimal and equilibrium solutions to quantum minority games.Initial states with different level of entanglement are investigated.Focus will be on 4 and 6 player games with some N -player generalizations.

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