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Motivated by empirical evidence that individuals within group decision makingsimultaneously aspire to maximize utility and avoid inequality we propose acriterion based on the entropy-norm pair for geometric selection of strict Nashequilibria in n-person games. For this, we introduce a mapping of an n-personset of Nash equilibrium utilities in an Entropy-Norm space. We suggest that themost suitable group choice is the equilibrium closest to the largestentropy-norm pair of a rescaled Entropy-Norm space. Successive application ofthis criterion permits an ordering of the possible Nash equilibria in ann-person game accounting simultaneously equality and utility of playerspayoffs. Limitations of this approach for certain exceptional cases arediscussed. In addition, the criterion proposed is applied and compared with theresults of a group decision making experiment.

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