Semiparametric estimation of a simultaneous game with incomplete information
不完全信息同时行动博弈的半参数估计AI 解读 ↓
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AI 根据所提供的论文材料归类：摘要研究离散行动博弈的收益参数和均衡估计，涉及结构估计与离散选择。
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不完全信息同时行动博弈的半参数估计
- 研究问题
- 当离散博弈的收益实现并非共同知识、信号分布又不完全可知时，如何识别收益参数并恢复参与者的不可观测信念？
- 方法与思路
- 作者求解贝叶斯纳什均衡条件的半参数样本对应式，并分别讨论不可观测冲击分布已知与未知时的估计渐近性质。
- 材料陈述的贡献
- 摘要称给出私人信息有助于识别的条件，并提出允许灵活信号结构和部分区域多重均衡、无需均衡选择理论的估计方法。
- 阅读关注点
- 应核对真实参数附近及部分信号实现上的均衡唯一性要求，查看信念恢复、收益识别和未知冲击分布处理的具体条件。
- 阅读边界
- 摘要仍要求局部且部分信号上的均衡唯一性，不能解释为完全无需唯一性；具体识别条件和资本投资应用结果未说明。
原文摘要
This paper studies the problem of estimating the normal-form payoff parameters of a simultaneous, discrete game where the realization of such payoffs is not common knowledge. The paper contributes to the existing literature in two ways. First, by making a comparison with the complete information case it formally describes a set of conditions under which allowing for private information in payoffs facilitates the identification of various features of the game. Second, focusing on the incomplete information case it presents an estimation procedure based on the equilibrium properties of the game that relies on weak semiparametric assumptions and relatively flexible information structures which allow players to condition their beliefs on signals whose exact distribution function is unknown to the researcher. The proposed estimators recover unobserved beliefs by solving a semiparametric sample analog of the population Bayesian-Nash equilibrium conditions. The asymptotic features of such estimators are studied for the case in which the distribution of unobserved shocks is known and the case in which it is unknown. In both instances equilibrium uniqueness is assumed to hold only in a neighborhood of the true parameter value and for a subset of realizations of the signals. Multiple equilibria are allowed elsewhere in the parameter space and no equilibrium selection theory is involved. Extensions to games where beliefs are conditioned on unobservables as well as general games with many players and actions are also discussed. An empirical application of a simple capital investment game is included.