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Conditional strategies in iterated quantum games

Author

Listed:
  • Abal, G.
  • Donangelo, R.
  • Fort, H.

Abstract

Iterated bipartite quantum games are implemented in terms of the discrete-time quantum walk on the line. Our proposal allows for conditional strategies, as two rational agents make a choice from a restricted set of two-qubit unitary operations. We discuss how several classical strategies are related to families of quantum strategies. A quantum version of the well known Prisoner’s Dilemma bipartite game, in which both players use mixed strategies, is presented as a specific example.

Suggested Citation

  • Abal, G. & Donangelo, R. & Fort, H., 2008. "Conditional strategies in iterated quantum games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(21), pages 5326-5332.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:21:p:5326-5332
    DOI: 10.1016/j.physa.2008.04.036
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