Quantum mechanics gives stability to a Nash equilibrium

Details Quantum mechanics gives stability to a Nash equilibrium Quantum mechanics gives stability to a Nash equilibrium

2001-04-18

arxiv.org/abs/quant-ph/0104091v3

Phys. Rev. A 65, 022306 (2002)

Physics

Quantum Physics

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

Scientific paper

10.1103/PhysRevA.65.022306

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.

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