Duality in dynamic discrete-choice models

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Tác giả: Khai Xiang Chiong, Alfred Galichon, Matt Shum

Ngôn ngữ: eng

Ký hiệu phân loại: 003.56 Decision theory

Thông tin xuất bản: 2021

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Bộ sưu tập: Metadata

ID: 166223

 Comment: 42 pages, 8 figuresUsing results from convex analysis, we investigate a novel approach to identification and estimation of discrete choice models which we call the Mass Transport Approach (MTA). We show that the conditional choice probabilities and the choice-specific payoffs in these models are related in the sense of conjugate duality, and that the identification problem is a mass transport problem. Based on this, we propose a new two-step estimator for these models
  interestingly, the first step of our estimator involves solving a linear program which is identical to the classic assignment (two-sided matching) game of Shapley and Shubik (1971). The application of convex-analytic tools to dynamic discrete choice models, and the connection with two-sided matching models, is new in the literature.
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