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Pandora's Box Problem with Correlations: Some Results for the Case of Stochastic Dominance

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Abstract

We develop a method to recover primitives from data generated by artificial intelligence (AI) agents in strategic environments such as online marketplaces and auctions. Building on how leading online learning AIs are designed, we assume agents minimize their regret. Under asymptotic no regret, we show that time-average play converges to the set of Bayes coarse correlated equilibrium (BCCE) predictions. Our econometric procedure is based on BCCE restrictions and convergence rates of regretminimizing AIs. We apply the method to pricing data in a digital marketplace for used smartphones. We estimate sellersÕ cost distributions and find lower markups than in centralized platforms.

Suggested Citation

  • Matteo Bizzarri & Niccolò Lomys, 2024. "Pandora's Box Problem with Correlations: Some Results for the Case of Stochastic Dominance," CSEF Working Papers 740, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
  • Handle: RePEc:sef:csefwp:740
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    More about this item

    Keywords

    Sequential Search; PandoraÕs Box Problem; Correlation; Stochastic Dominance.;
    All these keywords.

    JEL classification:

    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty

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