paper

Quantum mechanics gives stability to a Nash equilibrium

arXiv:quant-ph/0104091 · doi:10.1103/PhysRevA.65.022306

Abstract

We consider a slightly modified version of the Rock-Scissors-Paper (RSP) game from the point of view of evolutionary stability. In its classical version the game has a mixed Nash equilibrium (NE) not stable against mutants. We find a quantized version of the RSP game for which the classical mixed NE becomes stable.

Revised on referee's criticism, submitted to Physical Review A

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