Article
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Pareto Efficiency of Mixed Quantum Strategy Equilibria
Version 1
: Received: 1 February 2021 / Approved: 3 February 2021 / Online: 3 February 2021 (09:51:34 CET)
A peer-reviewed article of this Preprint also exists.
Szopa, M. Efficiency of Classical and Quantum Games Equilibria. Entropy 2021, 23, 506, doi:10.3390/e23050506. Szopa, M. Efficiency of Classical and Quantum Games Equilibria. Entropy 2021, 23, 506, doi:10.3390/e23050506.
Abstract
The aim of the paper is to investigate Nash equilibria and correlated equilibria of classical and quantum games in the context of their Pareto optimality. We study four games: the prisoner's dilemma, battle of the sexes and two versions of the game of chicken. The correlated equilibria usually improve Nash equilibria of games but require a trusted correlation device. We analyze the quantum extension of these games in the Eisert-Wilkens-Lewenstein formalism with the full SU(2) space of players’ strategy parameters. It has been shown that the Nash equilibria of these games in quantum mixed Pauli strategies are closer to Pareto optimal results than their classical counterparts. The relationship of mixed Pauli strategies equilibria and correlated equilibria is also analyzed.
Keywords
game theory; quantum games; Nash equilibrium; Pareto-efficiency; correlated equilibria
Subject
Business, Economics and Management, Accounting and Taxation
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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