Conditions that enable a player to surely win in sequential quantum games View Full Text


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Article Info

DATE

2022-07-29

AUTHORS

Theodore Andronikos

ABSTRACT

This paper studies sequential quantum games under the assumption that the moves of the players are drawn from groups and not just plain sets. The extra group structure makes it possible to easily derive some very general results characterizing this class of games. The main conclusion of this paper is that the specific rules of a game are absolutely critical. The slightest variation in the rules may have important implications on the outcome of the game. This work demonstrates that it is the combination of two factors that determines who wins: (1) the sets of admissible moves for each player, and (2) the order of moves, i.e., whether the same player makes the first and the last move. Quantum strategies do not a priori prevail over classical strategies. By carefully designing the rules of the game, it is equally feasible either to guarantee the fairness of the game, or to give the advantage to either player. More... »

PAGES

268

References to SciGraph publications

  • 2020-05-29. A Survey of Evolutionary Games in Biology in GENEDIS 2018
  • 2020-07-29. A quantum approach to twice-repeated 2×2 game in QUANTUM INFORMATION PROCESSING
  • 2020-05-29. A Brief Survey of the Prisoners’ Dilemma Game and Its Potential Use in Biology in GENEDIS 2018
  • 2007-12-13. Quantum Game of Two Discriminable Coins in INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
  • 2013. Quantum Theory for Mathematicians in NONE
  • 2015-08-29. Do quantum strategies always win? in QUANTUM INFORMATION PROCESSING
  • 2017-06-20. Quantum gambling based on Nash-equilibrium in NPJ QUANTUM INFORMATION
  • 2008. Naive Lie Theory in NONE
  • 2014-06-05. Saving Human Lives: What Complexity Science and Information Systems can Contribute in JOURNAL OF STATISTICAL PHYSICS
  • 2002-04. Parrondo Games as Lattice Gas Automata in JOURNAL OF STATISTICAL PHYSICS
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    http://scigraph.springernature.com/pub.10.1007/s11128-022-03604-8

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    http://dx.doi.org/10.1007/s11128-022-03604-8

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