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Nonparametric Sharp Bounds For Payoffs In 2 × 2 Games


  • Marc HENRY
  • Ismael MOURIFIÉ


We derive the empirical content of Nash equilibrium in 2×2 games of perfect information, including duopoly entry and coordination games. The derived bounds are nonparametric intersection bounds and are simple enough to lend themselves to existing inference methods. Implications of pure strategy Nash equilibrium and of exclusion restrictions are also derived. Without further assumptions, the hypothesis of Nash equilibrium play is not falsifiable. However, nontrivial bounds hold for the extent of potential monopoly advantage or free riding incentives.

Suggested Citation

  • Marc HENRY & Ismael MOURIFIÉ, 2013. "Nonparametric Sharp Bounds For Payoffs In 2 × 2 Games," Working Papers tecipa-500, University of Toronto, Department of Economics.
  • Handle: RePEc:tor:tecipa:tecipa-500

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    References listed on IDEAS

    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. Andres Aradillas‐Lopez, 2011. "Nonparametric probability bounds for Nash equilibrium actions in a simultaneous discrete game," Quantitative Economics, Econometric Society, vol. 2(2), pages 135-171, July.
    3. Arie Beresteanu & Ilya Molchanov & Francesca Molinari, 2008. "Sharp identification regions in games," CeMMAP working papers CWP15/08, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    4. Arie Beresteanu & Ilya Molchanov & Francesca Molinari, 2011. "Sharp Identification Regions in Models With Convex Moment Predictions," Econometrica, Econometric Society, vol. 79(6), pages 1785-1821, November.
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    12. Elie Tamer, 2003. "Incomplete Simultaneous Discrete Response Model with Multiple Equilibria," Review of Economic Studies, Oxford University Press, vol. 70(1), pages 147-165.
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    More about this item


    participation games; partial identification; intersection bounds;

    JEL classification:

    • C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions; Probabilities
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection

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