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Entropy-norm space for geometric selection of strict Nash equilibria in n-person games

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  • Leoneti, A.B.
  • Prataviera, G.A.

Abstract

Motivated by empirical evidence that individuals within group decision making simultaneously aspire to maximize utility and avoid inequality we propose a criterion based on the entropy-norm pair for geometric selection of strict Nash equilibria in n-person games. For this, we introduce a mapping of an n-person set of Nash equilibrium utilities in an Entropy-Norm space. We suggest that the most suitable group choice is the equilibrium closest to the largest entropy-norm pair of a rescaled Entropy-Norm space. Successive application of this criterion allows ordering of possible Nash equilibria in n-person games accounting simultaneously equality and utility of players payoffs. Limitations of this approach for certain exceptional cases are discussed. In addition, the criterion proposed is applied and compared with the results of a group decision making experiment.

Suggested Citation

  • Leoneti, A.B. & Prataviera, G.A., 2020. "Entropy-norm space for geometric selection of strict Nash equilibria in n-person games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 546(C).
    • Handle: RePEc:eee:phsmap:v:546:y:2020:i:c:s037843712030159x
    DOI: 10.1016/j.physa.2020.124407
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