A Multiplex Interdependent Durations Model

Zhongjian Lin, Ruixuan Liu
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Abstract

We propose a multiplex interdependent durations model and study its empirical content. The model considers an empirical stopping game of multiple agents making optimal timing decisions with incomplete information. We characterize the unique Bayesian Nash equilibrium of the stopping game in a system of simultaneous equations involving the conditional distribution of each duration with a moderate strategic interaction condition. The system of nonlinear simultaneous equations allows us to obtain constructive identification results of the interaction effects and other nonparametric model primitives. We propose two consistent semiparametric estimation methods based on different parameterizations of modeling components with right-censored duration data.
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一个多重相互依赖的持续时间模型
我们提出了一个多重相互依赖的持续时间模型,并对其实证内容进行了研究。该模型考虑了一个多智能体在不完全信息下做出最优时机决策的经验停止博弈。我们刻画了一个包含每个持续时间的条件分布、具有中等策略交互条件的联立方程组中停止博弈的唯一贝叶斯纳什均衡。非线性联立方程组使我们能够得到相互作用效应和其他非参数模型原语的建设性辨识结果。基于不同的参数化方法,提出了两种一致的半参数估计方法。
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