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Rationalization and Identification of Discrete Games with Correlated Types

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Author Info

  • Nianqing Liu

    ()
    (Shanghai University of Finance and Economics)

  • Quang Vuong

    ()
    (Department of Economics, New York University)

  • Haiqing Xu

    ()
    (Department of Economics, Texas University)

Abstract

This paper studies the rationalization and identification of discrete games where players have correlated private information (i.e. types). Our approach is fully nonparametric. First, under monotone pure strategy Bayesian Nash Equilibrium, we characterize all the restrictions if any on the distribution of players' choices imposed by the game-theoretic model as well as restrictions associated with three assumptions that have been frequently used in the empirical analysis of discrete games. Namely, we consider additive separability of the private information in the payoffs, exogeneity of the payoff shifters relative to the private information, and mutual independence of the private information conditional on the payoff shifters. Second, we study the nonparametric identification of the payoff functions and types distribution under exclusion restrictions and rank conditions. In particular, we show that our structural model is identified up to a location-scale normalization in the separable case. Third, without imposing exclusion restrictions, we characterize the sharp identification region for the payoff functions and types' distribution.

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File URL: https://webspace.utexas.edu/hx659/www/Files/Nonparametric-08-31-2013.pdf
File Function: Revised version, 2013
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Bibliographic Info

Paper provided by The University of Texas at Austin, Department of Economics in its series Department of Economics Working Papers with number 130915.

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Length: 47 pages
Date of creation: Nov 2012
Date of revision:
Handle: RePEc:tex:wpaper:130915

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Keywords: Rationalization; Identification; Discrete Game; Bayesian Nash Equilibrium;

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