On the nonemptiness of approximate cores of large games
为有限类型大量参与者的博弈中近似核的非空性提供了新证明，通过构建极限收益可能性集并运用不动点定理，避免了传统方法中对平衡覆盖博弈的依赖。
We provide a new proof of the nonemptiness of approximate cores of games with many players of a finite number of types. Earlier papers in the literature proceed by showing that, for games with many players, equal-treatment cores of their “balanced cover games,” which are nonempty, can be approximated by equal-treatment $$\varepsilon $$ -cores of the games themselves. Our proof is novel in that we develop a limiting payoff possibilities set and rely on a fixed point theorem.