Informationally Robust Comparative Statics in Incomplete Information Games

Informationally Robust Comparative Statics in Incomplete Information Games
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不完全信息博弈中的信息鲁棒比较静态学

DOI:
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发表时间:
2018
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影响因子:
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通讯作者:
T. Heumann
T. Heumann
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作者:
T. Heumann

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一个连续体的代理人玩一个不完全信息的游戏与连续的行动。一个代理人的最佳反应函数是线性的,他的期望,一个共同的回报冲击和平均行动所采取的其他代理人。交互参数是一个代理对其他代理的动作的权重。我们给出了信息稳健的预测的影响,在交互参数的边际变化对代理人的均衡预期效用的任何给定的均衡结果。我们的预测在信息上是稳健的,因为它们在与观察到的均衡结果一致的所有信息结构中都成立。我们仅根据均衡结果来表达我们的信息稳健预测;这给出了比较静态学的“贝叶斯相关均衡方法”(cf. Bergemann and Morris(2013); Bergemann and Morris(2016))。结果被应用于给出关于相互作用参数的边际变化对均衡结果的任何其他统计的影响的稳健预测(例如,总福利或行动的波动性的其他措施)。我们使用我们的结果来研究一个具有分散信息的竞争市场(参见。Guesnerie(1992年); Vives(1993));我们给出了需求弹性的边际变化对企业利润的影响的可靠预测。我们还使用我们的结果来研究经济是低效的,当代理人分散的信息(参见。Morris和Shin(2002); Angeletos和Pavan(2007));我们对税率的边际变化对总福利的影响做出了强有力的预测。
A continuum of agents play an incomplete information game with continuous action. An agent’s best-response function is linear on his expectation of a common payoff shock and the average action taken by the other agents. The interaction parameter is the weight that an agent places on the actions of the other agents. We give informationally robust predictions of the impact that a marginal change in the interaction parameter has on the agents’ equilibrium expected utility for any given equilibrium outcome. Our predictions are informationally robust in the sense that they hold across all information structures that are consistent with the observed equilibrium outcome. We express our informationally robust predictions solely in terms of the equilibrium outcome; this gives a “Bayes-correlated-equilibrium approach” to comparative statics (cf. Bergemann and Morris (2013); Bergemann and Morris (2016)). The results are applied to give robust predictions on the impact that a marginal change in the interaction parameter has on any other statistics of the equilibrium outcome (e.g., other measures of total welfare or the actions’ volatility). We use our results to study a competitive market with dispersed information (cf. Guesnerie (1992); Vives (1993)); we give robust predictions of the impact that a marginal change in the elasticity of the demand has on the firms’ profits. We also use our results to study economies that are inefficient when agents have dispersed information (cf. Morris and Shin (2002); Angeletos and Pavan (2007)); we give robust predictions of the impact that a marginal change in a tax rate has on the total welfare.
具有信息摩擦的最优货币政策
DOI: 10.1086/704758
发表时间: 2020
影响因子: 8.2
作者:
Angeletos, George-Marios;La’O, Jennifer
通讯作者: La’O, Jennifer
具有潜在信息的反事实
DOI: 10.1257/aer.20210496
发表时间: 2022
影响因子: 10.7
作者:
Bergemann, Dirk;Brooks, Benjamin;Morris, Stephen
通讯作者: Morris, Stephen