Quantum Formulation of Classical Two Person Zero-Sum Games

  • Authors:
  • Andreas Boukas

  • Affiliations:
  • Department of Mathematics, American College of Greece, Aghia Paraskevi, Athens, Greece 15342

  • Venue:
  • Open Systems & Information Dynamics
  • Year:
  • 2000

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Abstract

The concept of a classical player, corresponding to a simple random variable on a finite cardinality probability space, is shown to extend to that of a quantum player, corresponding to a self-adjoint operator on a quantum probability Hilbert space. Quantum versions of Von Neumann's minimax theorem are proved.