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Semiparametric Estimation of a Dynamic Game of Incomplete Information

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Author Info
Patrick Bajari
Han Hong
Abstract

Recently, empirical industrial organization economists have proposed estimators for dynamic games of incomplete information. In these models, agents choose from a finite number actions and maximize expected discounted utility in a Markov perfect equilibrium. Previous econometric methods estimate the probability distribution of agents%u2019 actions in a first stage. In a second step, a finite vector of parameters of the period return function are estimated. In this paper, we develop semiparametric estimators for dynamic games allowing for continuous state variables and a nonparametric first stage. The estimates of the structural parameters are T1/2 consistent (where T is the sample size) and asymptotically normal even though the first stage is estimated nonparametrically. We also propose sufficient conditions for identification of the model.

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Paper provided by National Bureau of Economic Research, Inc in its series NBER Technical Working Papers with number 0320.

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Date of creation: Feb 2006
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Handle: RePEc:nbr:nberte:0320

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Find related papers by JEL classification:
L0 - Industrial Organization - - General
L5 - Industrial Organization - - Regulation and Industrial Policy
C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General

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  1. Victor Aguirregabiria, 2007. "Another Look at the Identification of Dynamic Discrete Decision Processes: With an Application to Retirement Behavior," Working Papers tecipa-282, University of Toronto, Department of Economics. [Downloadable!]
    Other versions:
  2. Hiroyuki Kasahara & Katsumi Shimotsu, 2008. "Sequential Estimation of Structural Models with a Fixed Point Constraint," CESifo Working Paper Series CESifo Working Paper No. , CESifo Group Munich. [Downloadable!]
    Other versions:
  3. Song Yao & Carl F. Mela, 2008. "A Dynamic Model of Sponsored Search Advertising," Working Papers 08-16, NET Institute, revised Sep 2008. [Downloadable!]
  4. Hiroyuki Kasahara & Katsumi Shimotsu, 2006. "Nonparametric Identification and Estimation of Finite Mixture Models of Dynamic Discrete Choices," UWO Department of Economics Working Papers 20065, University of Western Ontario, Department of Economics. [Downloadable!]
    Other versions:
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