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Strategyproofness-Exposing Mechanism Descriptions

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  • Yannai A. Gonczarowski
  • Ori Heffetz
  • Clayton Thomas

Abstract

A menu description presents a mechanism to player $i$ in two steps. Step (1) uses the reports of other players to describe $i$'s menu: the set of $i$'s potential outcomes. Step (2) uses $i$'s report to select $i$'s favorite outcome from her menu. Can menu descriptions better expose strategyproofness, without sacrificing simplicity? We propose a new, simple menu description of Deferred Acceptance. We prove that -- in contrast with other common matching mechanisms -- this menu description must differ substantially from the corresponding traditional description. We demonstrate, with a lab experiment on two elementary mechanisms, the promise and challenges of menu descriptions.

Suggested Citation

  • Yannai A. Gonczarowski & Ori Heffetz & Clayton Thomas, 2022. "Strategyproofness-Exposing Mechanism Descriptions," Papers 2209.13148, arXiv.org, revised Jul 2023.
    • Handle: RePEc:arx:papers:2209.13148
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    References listed on IDEAS

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    1. Hart, Sergiu & Nisan, Noam, 2017. "Approximate revenue maximization with multiple items," Journal of Economic Theory, Elsevier, vol. 172(C), pages 313-347.
    2. Constantinos Daskalakis & Alan Deckelbaum & Christos Tzamos, 2017. "Strong Duality for a Multiple‐Good Monopolist," Econometrica, Econometric Society, vol. 85, pages 735-767, May.
    3. Itai Ashlagi & Yash Kanoria & Jacob D. Leshno, 2017. "Unbalanced Random Matching Markets: The Stark Effect of Competition," Journal of Political Economy, University of Chicago Press, vol. 125(1), pages 69-98.
    4. Guillen, Pablo & Hakimov, Rustamdjan, 2018. "The effectiveness of top-down advice in strategy-proof mechanisms: A field experiment," European Economic Review, Elsevier, vol. 101(C), pages 505-511.
    5. Takehito Masuda & Ryo Mikami & Toyotaka Sakai & Shigehiro Serizawa & Takuma Wakayama, 2022. "The net effect of advice on strategy-proof mechanisms: an experiment for the Vickrey auction," Experimental Economics, Springer;Economic Science Association, vol. 25(3), pages 902-941, June.
    6. David Danz & Lise Vesterlund & Alistair J. Wilson, 2020. "Belief Elicitation: Limiting Truth Telling with Information on Incentives," NBER Working Papers 27327, National Bureau of Economic Research, Inc.
    7. Aviad Rubinstein & Raghuvansh R. Saxena & Clayton Thomas & S. Mathew Weinberg & Junyao Zhao, 2020. "Exponential Communication Separations between Notions of Selfishness," Papers 2012.14898, arXiv.org, revised Jun 2021.
    8. Alvin E. Roth, 2002. "The Economist as Engineer: Game Theory, Experimentation, and Computation as Tools for Design Economics," Econometrica, Econometric Society, vol. 70(4), pages 1341-1378, July.
    9. Ashlagi, Itai & Gonczarowski, Yannai A., 2018. "Stable matching mechanisms are not obviously strategy-proof," Journal of Economic Theory, Elsevier, vol. 177(C), pages 405-425.
    10. Hakimov, Rustamdjan & Kübler, Dorothea, 2021. "Experiments on centralized school choice and college admissions: a survey," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 24(2), pages 434-488.
    11. Parag A. Pathak & Tayfun Sonmez, 2008. "Leveling the Playing Field: Sincere and Sophisticated Players in the Boston Mechanism," American Economic Review, American Economic Association, vol. 98(4), pages 1636-1652, September.
    12. Yves Breitmoser & Sebastian Schweighofer-Kodritsch, 2022. "Obviousness around the clock," Experimental Economics, Springer;Economic Science Association, vol. 25(2), pages 483-513, April.
    13. Mohammad Akbarpour & Shengwu Li, 2020. "Credible Auctions: A Trilemma," Econometrica, Econometric Society, vol. 88(2), pages 425-467, March.
    14. Marek Pycia & Peter Troyan, 2023. "A Theory of Simplicity in Games and Mechanism Design," Econometrica, Econometric Society, vol. 91(4), pages 1495-1526, July.
    15. Chen, Yan & Sonmez, Tayfun, 2006. "School choice: an experimental study," Journal of Economic Theory, Elsevier, vol. 127(1), pages 202-231, March.
    16. John William Hatfield & Paul R. Milgrom, 2005. "Matching with Contracts," American Economic Review, American Economic Association, vol. 95(4), pages 913-935, September.
    17. Shengwu Li, 2017. "Obviously Strategy-Proof Mechanisms," American Economic Review, American Economic Association, vol. 107(11), pages 3257-3287, November.
    18. Roth, Alvin E, 1986. "On the Allocation of Residents to Rural Hospitals: A General Property of Two-Sided Matching Markets," Econometrica, Econometric Society, vol. 54(2), pages 425-427, March.
    19. Hart, Sergiu & Nisan, Noam, 2019. "Selling multiple correlated goods: Revenue maximization and menu-size complexity," Journal of Economic Theory, Elsevier, vol. 183(C), pages 991-1029.
    20. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
    21. Atila Abdulkadiroglu & Yeon-Koo Che & Yosuke Yasuda, 2011. "Resolving Conflicting Preferences in School Choice: The "Boston Mechanism" Reconsidered," American Economic Review, American Economic Association, vol. 101(1), pages 399-410, February.
    22. Jacob D Leshno & Irene Lo, 2021. "The Cutoff Structure of Top Trading Cycles in School Choice [The Welfare Effects of Coordinated Assignment: Evidence from the New York City High School Match]," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 88(4), pages 1582-1623.
    23. Peter Troyan, 2019. "Obviously Strategy‐Proof Implementation Of Top Trading Cycles," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 60(3), pages 1249-1261, August.
    24. Eduardo M. Azevedo & Jacob D. Leshno, 2016. "A Supply and Demand Framework for Two-Sided Matching Markets," Journal of Political Economy, University of Chicago Press, vol. 124(5), pages 1235-1268.
    25. Avinatan Hassidim & Déborah Marciano & Assaf Romm & Ran I. Shorrer, 2017. "The Mechanism Is Truthful, Why Aren't You?," American Economic Review, American Economic Association, vol. 107(5), pages 220-224, May.
    26. Kagel, John H & Levin, Dan, 1993. "Independent Private Value Auctions: Bidder Behaviour in First-, Second- and Third-Price Auctions with Varying Numbers of Bidders," Economic Journal, Royal Economic Society, vol. 103(419), pages 868-879, July.
    27. Babaioff, Moshe & Gonczarowski, Yannai A. & Nisan, Noam, 2022. "The menu-size complexity of revenue approximation," Games and Economic Behavior, Elsevier, vol. 134(C), pages 281-307.
    28. Alvin E. Roth, 1982. "The Economics of Matching: Stability and Incentives," Mathematics of Operations Research, INFORMS, vol. 7(4), pages 617-628, November.
    29. Rees-Jones, Alex, 2018. "Suboptimal behavior in strategy-proof mechanisms: Evidence from the residency match," Games and Economic Behavior, Elsevier, vol. 108(C), pages 317-330.
    30. Roth, Alvin E. & Postlewaite, Andrew, 1977. "Weak versus strong domination in a market with indivisible goods," Journal of Mathematical Economics, Elsevier, vol. 4(2), pages 131-137, August.
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    Cited by:

    1. Ran Canetti & Amos Fiat & Yannai A. Gonczarowski, 2023. "Zero-Knowledge Mechanisms," Papers 2302.05590, arXiv.org.
    2. Bnaya Dreyfuss & Ofer Glicksohn & Ori Heffetz & Assaf Romm, 2022. "Deferred Acceptance with News Utility," NBER Working Papers 30635, National Bureau of Economic Research, Inc.

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