English

Quantum mechanics gives stability to a Nash equilibrium

Quantum Physics 2009-11-07 v3 Adaptation and Self-Organizing Systems

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.

Keywords

Cite

@article{arxiv.quant-ph/0104091,
  title  = {Quantum mechanics gives stability to a Nash equilibrium},
  author = {A. Iqbal and A. H. Toor},
  journal= {arXiv preprint arXiv:quant-ph/0104091},
  year   = {2009}
}

Comments

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