Two‐Aggregate Games: Demonstration Using a Production–Appropriation Model
扩展了两聚合方法的应用范围,用于分析多个异质性参与者自由贡献于两个聚合的情形,通过生产-侵占模型将纳什均衡的求解简化为两个一致性条件,并进行了传统方法难以处理的比较静态分析。
Abstract We expand the scope of the two‐aggregate method by applying it to a situation in which many heterogeneous players are free to contribute to both aggregates. Such situations naturally arise in various resource allocation problems. Hence, our method is useful in many applications. A production–appropriation model is employed to illustrate how the problem of establishing the Nash equilibrium can be reduced from solving n >2 best‐response functions in n unknowns to solving two consistency conditions in two unknowns. We then conduct a comparative static exercise that the conventional approach could not handle easily, if at all, to demonstrate the power of our method.