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Dominant strategies of quantum games on quantum periodic automata

Computation, ISSN: 2079-3197, Vol: 3, Issue: 4, Page: 586-599
2015
  • 23
    Citations
  • 0
    Usage
  • 9
    Captures
  • 0
    Mentions
  • 0
    Social Media
Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    23
    • Citation Indexes
      23
  • Captures
    9

Article Description

Game theory and its quantum extension apply in numerous fields that affect people's social, political, and economical life. Physical limits imposed by the current technology used in computing architectures (e.g., circuit size) give rise to the need for novel mechanisms, such as quantum inspired computation. Elements from quantum computation and mechanics combined with game-theoretic aspects of computing could open new pathways towards the future technological era. This paper associates dominant strategies of repeated quantum games with quantum automata that recognize infinite periodic inputs. As a reference, we used the PQ-PENNY quantum game where the quantum strategy outplays the choice of pure or mixed strategy with probability 1 and therefore the associated quantum automaton accepts with probability 1. We also propose a novel game played on the evolution of an automaton, where players' actions and strategies are also associated with periodic quantum automata.

Bibliographic Details

Konstantinos Giannakis; Christos Papalitsas; Kalliopi Kastampolidou; Alexandros Singh; Theodore Andronikos

MDPI AG

Mathematics; Computer Science

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