Quantum advantage does not survive in the presence of a corrupt source: Optimal strategies in simultaneous move games

Abstract

Effects of a corrupt source on the dynamics of simultaneous move strategic games are analyzed both for classical and quantum settings. The corruption rate dependent changes in the payoffs and strategies of the players are observed. It is shown that there is a critical corruption rate at which the players lose their quantum advantage, and that the classical strategies are more robust to the corruption in the source. Moreover, it is understood that the information on the corruption rate of the source may help the players choose their optimal strategy for resolving the dilemma and increase their payoffs. The study is carried out in two different corruption scenarios for Prisoner's Dilemma, Samaritan's Dilemma, and Battle of Sexes.