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Obviously Strategy-Proof Multi-Dimensional Allocation and the Value of Choice

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  • Quitz'e Valenzuela-Stookey

Abstract

A principal must allocate a set of heterogeneous tasks (or objects) among multiple agents. The principal has preferences over the allocation. Each agent has preferences over which tasks they are assigned, which are their private information. The principal is constrained by the fact that each agent has the right to demand some status-quo task assignment. I characterize the conditions under which the principal can gain by delegating some control over the assignment to the agents. Within a large class of delegation mechanisms, I then characterize those that are obviously strategy-proof (OSP), and provide guidance for choosing among OSP mechanisms.

Suggested Citation

  • Quitz'e Valenzuela-Stookey, 2026. "Obviously Strategy-Proof Multi-Dimensional Allocation and the Value of Choice," Papers 2601.20035, arXiv.org.
  • Handle: RePEc:arx:papers:2601.20035
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    References listed on IDEAS

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    1. 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.
    2. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
    3. Pavlov Gregory, 2011. "Optimal Mechanism for Selling Two Goods," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 11(1), pages 1-35, February.
    4. Alvin E. Roth, 2007. "Repugnance as a Constraint on Markets," Journal of Economic Perspectives, American Economic Association, vol. 21(3), pages 37-58, Summer.
    5. Eric Budish, 2011. "The Combinatorial Assignment Problem: Approximate Competitive Equilibrium from Equal Incomes," Journal of Political Economy, University of Chicago Press, vol. 119(6), pages 1061-1103.
    6. Hylland, Aanund & Zeckhauser, Richard, 1979. "The Efficient Allocation of Individuals to Positions," Journal of Political Economy, University of Chicago Press, vol. 87(2), pages 293-314, April.
    7. Narges Ahani & Tommy Andersson & Alessandro Martinello & Alexander Teytelboym & Andrew C. Trapp, 2021. "Placement Optimization in Refugee Resettlement," Operations Research, INFORMS, vol. 69(5), pages 1468-1486, September.
    8. Ignacio Palacios-Huerta & David C. Parkes & Richard Steinberg, 2024. "Combinatorial Auctions in Practice," Journal of Economic Literature, American Economic Association, vol. 62(2), pages 517-553, June.
    9. Yves Breitmoser & Sebastian Schweighofer-Kodritsch, 2022. "Obviousness around the clock," Experimental Economics, Springer;Economic Science Association, vol. 25(2), pages 483-513, April.
    10. Thanassoulis, John, 2004. "Haggling over substitutes," Journal of Economic Theory, Elsevier, vol. 117(2), pages 217-245, August.
    11. Manelli, Alejandro M. & Vincent, Daniel R., 2006. "Bundling as an optimal selling mechanism for a multiple-good monopolist," Journal of Economic Theory, Elsevier, vol. 127(1), pages 1-35, March.
    12. Nikhil Agarwal & Charles Hodgson & Paulo Somaini, 2025. "Choices and Outcomes in Assignment Mechanisms: The Allocation of Deceased Donor Kidneys," Econometrica, Econometric Society, vol. 93(2), pages 395-438, March.
    13. David Delacrétaz & Scott Duke Kominers & Alexander Teytelboym, 2023. "Matching Mechanisms for Refugee Resettlement," American Economic Review, American Economic Association, vol. 113(10), pages 2689-2717, October.
    14. Rochet, Jean-Charles, 1987. "A necessary and sufficient condition for rationalizability in a quasi-linear context," Journal of Mathematical Economics, Elsevier, vol. 16(2), pages 191-200, April.
    15. Shengwu Li, 2017. "Obviously Strategy-Proof Mechanisms," American Economic Review, American Economic Association, vol. 107(11), pages 3257-3287, November.
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