Strong quantum solutions in conflicting-interest Bayesian games

Ashutosh Rai and Goutam Paul
Phys. Rev. A 96, 042340 – Published 30 October 2017

Abstract

Quantum entanglement has been recently demonstrated as a useful resource in conflicting-interest games of incomplete information between two players, Alice and Bob [Pappa et al., Phys. Rev. Lett. 114, 020401 (2015)]. The general setting for such games is that of correlated strategies where the correlation between competing players is established through a trusted common adviser; however, players need not reveal their input to the adviser. So far, the quantum advantage in such games has been revealed in a restricted sense. Given a quantum correlated equilibrium strategy, one of the players can still receive a higher than quantum average payoff with some classically correlated equilibrium strategy. In this work, by considering a class of asymmetric Bayesian games, we show the existence of games with quantum correlated equilibrium where the average payoff of both the players exceeds the respective individual maximum for each player over all classically correlated equilibriums.

  • Received 12 May 2017

DOI:https://doi.org/10.1103/PhysRevA.96.042340

©2017 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & Technology

Authors & Affiliations

Ashutosh Rai1,2,* and Goutam Paul3,†

  • 1International Institute of Physics, Federal University of Rio Grande do Norte, 59070-405 Natal, Brazil
  • 2Center for Quantum Computer Science, University of Latvia, Raina Bulv. 19, Riga, LV-1586, Latvia
  • 3Cryptology and Security Research Unit, R. C. Bose Centre for Cryptology and Security, Indian Statistical Institute, Kolkata 700108, India

  • *arai@iip.ufrn.br
  • goutam.paul@isical.ac.in

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Issue

Vol. 96, Iss. 4 — October 2017

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