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The problem of multiple commons: A market design approach

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  • Tierney, Ryan

Abstract

There are several locations, each of which is endowed with a resource that is specific to that location. Each agent will go to a single location and harvest some of the resource there. Several agents may go to each location, and thereby cause a congestion effect that is modeled in a general way. We assign harvesting rights based on preferences alone, though we later extend the model to accommodate private endowments of money. We find the best allocation rule in the class of rules that are strategy-proof, anonymous, and that satisfy a weak continuity property. For a special class of preferences, we also find an ascending mechanism, similar to an auction, that implements the rule. The rule coincides with a special pseudo-market equilibrium, wherein agents buy their desired resource with tokens distributed by the social planner.

Suggested Citation

  • Tierney, Ryan, 2019. "The problem of multiple commons: A market design approach," Games and Economic Behavior, Elsevier, vol. 114(C), pages 1-27.
    • Handle: RePEc:eee:gamebe:v:114:y:2019:i:c:p:1-27
    DOI: 10.1016/j.geb.2018.10.007
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    1. Andersson, Tommy & Erlanson, Albin, 2013. "Multi-item Vickrey–English–Dutch auctions," Games and Economic Behavior, Elsevier, vol. 81(C), pages 116-129.
    2. T. Andersson & C. Andersson & A. Talman, 2013. "Sets in excess demand in simple ascending auctions with unit-demand bidders," Annals of Operations Research, Springer, vol. 211(1), pages 27-36, December.
    3. Lars-Gunnar Svensson, 2009. "Coalitional strategy-proofness and fairness," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 40(2), pages 227-245, August.
    4. Gabrielle Demange & Ahmet Alkan & David Gale, 1991. "Fair Allocation of Indivisible Goods and Money and Criteria of Justice," Post-Print halshs-00670945, HAL.
    5. Lars-Gunnar Svensson & Bo Larsson, 2002. "Strategy-proof and nonbossy allocation of indivisible goods and money," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 20(3), pages 483-502.
    6. Demange, Gabrielle & Gale, David, 1985. "The Strategy Structure of Two-sided Matching Markets," Econometrica, Econometric Society, vol. 53(4), pages 873-888, July.
    7. He, Yinghua & Li, Sanxi & Yan, Jianye, 2015. "Evaluating assignment without transfers: A market perspective," Economics Letters, Elsevier, vol. 133(C), pages 40-44.
    8. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
    9. 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.
    10. , & ,, 2015. "Strategy-proofness and efficiency with non-quasi-linear preferences: a characterization of minimum price Walrasian rule," Theoretical Economics, Econometric Society, vol. 10(2), May.
    11. Demange, Gabrielle & Gale, David & Sotomayor, Marilda, 1986. "Multi-Item Auctions," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 863-872, August.
    12. Kovalenkov, Alexander, 2002. "Simple Strategy-Proof Approximately Walrasian Mechanisms," Journal of Economic Theory, Elsevier, vol. 103(2), pages 475-487, April.
    13. Bettina Klaus & Olivier Bochet, 2013. "The relation between monotonicity and strategy-proofness," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(1), pages 41-63, January.
    14. Tommy Andersson & Lars‐Gunnar Svensson, 2014. "Non‐Manipulable House Allocation With Rent Control," Econometrica, Econometric Society, vol. 82(2), pages 507-539, March.
    15. Schummer, James, 2000. "Eliciting Preferences to Assign Positions and Compensation," Games and Economic Behavior, Elsevier, vol. 30(2), pages 293-318, February.
    16. Ahmet Alkan, 1992. "Equilibrium in a Matching Market with General Preferences," Palgrave Macmillan Books, in: Mukul Majumdar (ed.), Equilibrium and Dynamics, chapter 1, pages 1-16, Palgrave Macmillan.
    17. Hashimoto, Tadashi, 2018. "The generalized random priority mechanism with budgets," Journal of Economic Theory, Elsevier, vol. 177(C), pages 708-733.
    18. Alkan, Ahmet & Demange, Gabrielle & Gale, David, 1991. "Fair Allocation of Indivisible Goods and Criteria of Justice," Econometrica, Econometric Society, vol. 59(4), pages 1023-1039, July.
    19. Susan H. Gensemer & Lu Hong & Jerry S. Kelly, 1998. "Migration disequilibrium and specific division rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 15(2), pages 201-209.
    20. Miyagawa, Eiichi, 2001. "House Allocation with Transfers," Journal of Economic Theory, Elsevier, vol. 100(2), pages 329-355, October.
    21. 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.
    22. Leonard, Herman B, 1983. "Elicitation of Honest Preferences for the Assignment of Individuals to Positions," Journal of Political Economy, University of Chicago Press, vol. 91(3), pages 461-479, June.
    23. Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
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    Cited by:

    1. Bavly, Gilad & Heller, Yuval & Schreiber, Amnon, 2022. "Social welfare in search games with asymmetric information," Journal of Economic Theory, Elsevier, vol. 202(C).
    2. William PHAN & Ryan TIERNEY & Yu ZHOU, 2021. "Crowding in School Choice," Discussion papers e-21-006, Graduate School of Economics , Kyoto University.
    3. Tierney, Ryan, 2022. "Incentives And Efficiency In Matching With Transfers: Towards Nonquasilinear Package Auctions," Discussion Papers on Economics 6/2022, University of Southern Denmark, Department of Economics.
    4. Zhou, Yu & Serizawa, Shigehiro, 2018. "Strategy-proofness and efficiency for non-quasi-linear and common-tiered-object preferences: Characterization of minimum price rule," Games and Economic Behavior, Elsevier, vol. 109(C), pages 327-363.

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    More about this item

    Keywords

    Incentive-compatibility; Min-price equilibrium; Commons; Indivisible goods;
    All these keywords.

    JEL classification:

    • D45 - Microeconomics - - Market Structure, Pricing, and Design - - - Rationing; Licensing
    • D47 - Microeconomics - - Market Structure, Pricing, and Design - - - Market Design
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

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