Acceptable Versus Straightforward Game Forms: An Example
研究经济决策问题中的非合作博弈形式设计，展示了一个无法同时满足纳什均衡帕累托最优和占优策略帕累托最优的非独裁博弈形式例子。
This paper is concerned with the design of non-cooperative game forms for economic decision problems. A decision problem is presented which admits non-dictatorial game forms with the following properties: Nash equilibria exist and all Nash equilibrium outcomes are Pareto optimal; or dominant strategies exist and all dominant strategy equilibria are Pareto optimal; but not both. This is, any (non-dictatorial) game form whose Nash equilibria are well behaved does not have dominant strategies, and any game form with well behaved dominant strategy equilibria must have at least one non-optimal non-dominant strategy Nash equilibrium.