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Estimation of Discrete Games with Correlated Types

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  • Haiqing Xu

    (Department of Economics, Texas University)

Abstract

This paper focuses on the identification and estimation of static games of incomplete information with correlated types. Instead of making the (conditional) independence assumption on players' types to simplify the equilibria set, I establish a method that allows to identify subsets of the space of covariates (i.e. publicly observed state variables in payoff functions), for which there exists a unique Bayesian Nash Equilibrium (BNE) and the equilibrium strategies are monotone functions. The unique monotone pure strategy BNE can be characterized in a simple manner, based on which I propose an estimation procedure exploiting the information contained in the subset of the covariate space, and establish the consistency and the limiting distribution of the estimator.

Suggested Citation

  • Haiqing Xu, "undated". "Estimation of Discrete Games with Correlated Types," Department of Economics Working Papers 130909, The University of Texas at Austin, Department of Economics.
    • Handle: RePEc:tex:wpaper:130909
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    References listed on IDEAS

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    Cited by:

    1. Lewbel, Arthur & Tang, Xun, 2015. "Identification and estimation of games with incomplete information using excluded regressors," Journal of Econometrics, Elsevier, vol. 189(1), pages 229-244.
    2. Liu, Nianqing & Vuong, Quang & Xu, Haiqing, 2017. "Rationalization and identification of binary games with correlated types," Journal of Econometrics, Elsevier, vol. 201(2), pages 249-268.
    3. Yingyao Hu & Zhongjian Lin, 2018. "Misclassification and the hidden silent rivalry," CeMMAP working papers CWP12/18, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    4. Jun, Sung Jae & Pinkse, Joris, 2020. "Counterfactual prediction in complete information games: Point prediction under partial identification," Journal of Econometrics, Elsevier, vol. 216(2), pages 394-429.
    5. Erhao Xie, 2018. "Inference in Games Without Nash Equilibrium: An Application to Restaurants, Competition in Opening Hours," Staff Working Papers 18-60, Bank of Canada.

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    More about this item

    Keywords

    Incomplete Information Game; Monotone Pure Strategy BNE; Maximum Likelihood Estimation;
    All these keywords.

    JEL classification:

    • C35 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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