We study network games in which players choose both an action level (e.g., effort) that creates spillovers for others and the partners with whom they associate. We introduce a framework and two solution concepts that extend standard solutions for each choice made separately: Nash equilibrium in actions and pairwise stability in links. Our main results show that, under suitable monotonicity conditions on incentives, stable networks take simple forms. The first condition concerns whether links create positive or negative payoff spillovers. The second condition concerns whether actions and links are strategic complements or substitutes. Together, these conditions allow a taxonomy of how network structure depends on economic primitives. We apply our model to understand the consequences of competition for status, to microfound matching models that assume clique formation, and to interpret empirical findings that highlight unintended consequences of group design.
翻译:我们研究网络游戏,让玩家同时选择一个行动级别(如努力),为其他人及其伙伴创造外溢效应。我们引入一个框架和两个解决方案概念,为每个选择分别提供标准解决方案:纳什在行动中的平衡和双向稳定联系。我们的主要结果显示,在适当的奖励单一性条件下,稳定的网络以简单的形式出现。第一个条件是,联系是否产生正或负的溢出效应。第二个条件是,行动和联系是战略补充还是替代。这些条件加在一起,允许对网络结构如何依赖经济原始生物进行分类。我们运用我们的模型来理解竞争地位的后果,对假定俱乐部形成的微型匹配模式,并解释突出群体设计意外后果的经验性发现。