Effectivity Functions and Acceptable Game Forms
证明不存在同时满足可接受性和强一致性的博弈形式,并刻画了同时满足可接受性和占优可解性的博弈形式,通过有效性函数进行表征。
A game form is acceptable if for every preference profile, a Nash equilibrium exists and the outcomes corresponding to Nash equilibria are Pareto efficient. A game form is strongly consistent if the set of strong Nash equilibria is always nonempty. The paper shows that no game form can be both acceptable and strongly consistent. The set of game forms which are both acceptable and dominance-solvable is also characterized in terms of the effectivity functions of game forms.