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Nonparametric tests for strategic interaction effects with rationalizability

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  • Aradillas-López, Andrés

Abstract

We introduce the first nonparametric tests for the presence and the sign of strategic interaction effects in discrete 2 × 2 games of complete information under the assumption of rationalizable behavior, which includes Nash Equilibrium as a special case but allows for incorrect beliefs. Our tests assume the existence of an observable covariate with a positive stochastic relationship with the payoffs of a particular player.

Suggested Citation

  • Aradillas-López, Andrés, 2019. "Nonparametric tests for strategic interaction effects with rationalizability," Economics Letters, Elsevier, vol. 181(C), pages 149-153.
    • Handle: RePEc:eee:ecolet:v:181:y:2019:i:c:p:149-153
    DOI: 10.1016/j.econlet.2019.05.018
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    References listed on IDEAS

    as
    1. Aradillas-Lopez, Andres & Tamer, Elie, 2008. "The Identification Power of Equilibrium in Simple Games," Journal of Business & Economic Statistics, American Statistical Association, vol. 26, pages 261-310.
    2. Lee, Sokbae & Song, Kyungchul & Whang, Yoon-Jae, 2018. "Testing For A General Class Of Functional Inequalities," Econometric Theory, Cambridge University Press, vol. 34(5), pages 1018-1064, October.
    3. Lee, Sokbae & Song, Kyungchul & Whang, Yoon-Jae, 2013. "Testing functional inequalities," Journal of Econometrics, Elsevier, vol. 172(1), pages 14-32.
    4. Fan, Yanqin & Li, Qi, 1996. "Consistent Model Specification Tests: Omitted Variables and Semiparametric Functional Forms," Econometrica, Econometric Society, vol. 64(4), pages 865-890, July.
    5. Timothy F. Bresnahan & Peter C. Reiss, 1990. "Entry in Monopoly Market," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 57(4), pages 531-553.
    6. Aradillas-López, Andrés & Gandhi, Amit & Quint, Daniel, 2016. "A simple test for moment inequality models with an application to English auctions," Journal of Econometrics, Elsevier, vol. 194(1), pages 96-115.
    7. Elie Tamer, 2003. "Incomplete Simultaneous Discrete Response Model with Multiple Equilibria," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 70(1), pages 147-165.
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    More about this item

    Keywords

    Nonparametric testing; Discrete games; Rationalizability;
    All these keywords.

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C57 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Econometrics of Games and Auctions

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