Quantum game theory and the complexity of approximating quantum Nash equilibria release_7lsb4b776bgxzphap3ogvmptai

by John Bostanci, John Watrous

Released as a article .

2021  

Abstract

This paper is concerned with complexity theoretic aspects of a general formulation of quantum game theory that models strategic interactions among rational agents that process and exchange quantum information. In particular, we prove that the computational problem of finding an approximate Nash equilibrium in a broad class of quantum games is, like the analogous problem for classical games, included in (and therefore complete for) the complexity class PPAD. Our main technical contribution, which facilitates this inclusion, is an extension of prior methods in computational game theory to strategy spaces that are characterized by semidefinite programs.
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Type  article
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Date   2021-01-31
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arXiv  2102.00512v1
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