Description

• Title:
  General quantum two-player games, their gate operators, and Nash equilibria
• Creator:
  Bolonek-Lasoń, Katarzyna
• Contributor:
  University of Lodz, Department of Statistical Methods, Faculty of Economics and Sociology;
  kbolonek1@wp.pl
• Description:
  Two-player N-strategy games quantized according to the Eisert–Lewenstein–Wilkens scheme [Phys. Rev. Lett. 83, 3077 (1999)] are considered. Group-theoretical methods are applied to the problem of finding a general form of gate operators (entanglers) under the assumption that the set of classical pure strategies is contained in the set of pure quantum ones. The role of the stability group of the initial state of the game is stressed. As an example, it is shown that maximally entangled games do not admit nontrivial pure Nash strategies. The general arguments are supported by explicit computations performed in the three-strategy case.;
  NCN Grant no. DEC-2012/05/D/ST2/00754
• Object availability:
  free access
• Rights:
  Uznanie autorstwa 3.0 Polska;
  http://creativecommons.org/licenses/by/3.0/pl
• Date:
  2015.05.04;
  2015.02.23
• Type:
  Article
• Language:
  English;
  eng
• Format:
  application/pdf
• Publisher:
  Oxford Journals
• Relation:
  Progress of Theoretical and Experimental Physics;023A03
• Identifier:
  2050-3911;
  http://hdl.handle.net/11089/8593
• Data provider:
  Repozytorium Uniwersytetu Łódzkiego
• Can I use it?:
  check license
• Type:
  image