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Assignment Markets: Theory and Experiments

Author

Listed:
  • Arthur Dolgopolov

    (Interdisciplinary Center for Economic Science and Department of Economics, George Mason University)

  • Daniel Houser

    (Interdisciplinary Center for Economic Science and Department of Economics, George Mason University)

  • Cesar Martinelli

    (Interdisciplinary Center for Economic Science and Department of Economics, George Mason University)

  • Thomas Stratmann

    (Interdisciplinary Center for Economic Science and Department of Economics, George Mason University)

Abstract

We study theoretically and experimentally assignment markets, i.e. two-sided markets where indivisible heterogeneous items with unit demand and unit supply are traded for money, as exemplified by housing markets. We define an associated strategic market game, and show that every Nash equilibrium outcome of this game is a competitive equilibrium allocation with respect to an economy consisting exclusively of the goods that were traded. That is, inefficiency may arise from miscoordination because some goods are not traded. Experimental results show players behaving close to Nash equilibrium predictions for auction-like market designs and close to generalized bargaining for the market design that incorporates decentralized communication. Communication improves efficiency, but introduces with some probability outcomes inconsistent with Nash equilibria.

Suggested Citation

  • Arthur Dolgopolov & Daniel Houser & Cesar Martinelli & Thomas Stratmann, 2019. "Assignment Markets: Theory and Experiments," Working Papers 1075, George Mason University, Interdisciplinary Center for Economic Science.
  • Handle: RePEc:gms:wpaper:1075
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    References listed on IDEAS

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    1. James T. Hong & Charles R. Plott, 1982. "Rate Filing Policies for Inland Water Transportation: An Experimental Approach," Bell Journal of Economics, The RAND Corporation, vol. 13(1), pages 1-19, Spring.
    2. Benassy, Jean-Pascal, 1986. "On Competitive Market Mechanisms," Econometrica, Econometric Society, vol. 54(1), pages 95-108, January.
    3. Gabrielle Demange & Ahmet Alkan & David Gale, 1991. "Fair Allocation of Indivisible Goods and Money and Criteria of Justice," Post-Print halshs-00670945, HAL.
    4. Crawford, Vincent P & Knoer, Elsie Marie, 1981. "Job Matching with Heterogeneous Firms and Workers," Econometrica, Econometric Society, vol. 49(2), pages 437-450, March.
    5. César Martinelli & Jianxin Wang & Weiwei Zheng, 2023. "Competition with indivisibilities and few traders," Experimental Economics, Springer;Economic Science Association, vol. 26(1), pages 78-106, March.
    6. Grether, David M & Plott, Charles R, 1984. "The Effects of Market Practices in Oligopolistic Markets: An Experimental Examination of the Ethyl Case," Economic Inquiry, Western Economic Association International, vol. 22(4), pages 479-507, October.
    7. Vernon L. Smith, 1962. "An Experimental Study of Competitive Market Behavior," Journal of Political Economy, University of Chicago Press, vol. 70, pages 322-322.
    8. Perez-Castrillo, David & Sotomayor, Marilda, 2002. "A Simple Selling and Buying Procedure," Journal of Economic Theory, Elsevier, vol. 103(2), pages 461-474, April.
    9. Dubey, Pradeep, 1982. "Price-Quantity Strategic Market Games," Econometrica, Econometric Society, vol. 50(1), pages 111-126, January.
    10. Kamecke, U, 1989. "Non-cooperative Matching Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 18(4), pages 423-431.
    11. David Pérez-Castrillo & Marilda Sotomayor, 2017. "The outcome of competitive equilibrium rules in buyer–seller markets when the agents play strategically," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 64(1), pages 99-119, June.
    12. Quint, Thomas, 1991. "Characterization of Cores of Assignment Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 19(4), pages 413-420.
    13. Elizabeth Baldwin & Paul Klemperer, 2019. "Understanding Preferences: “Demand Types”, and the Existence of Equilibrium With Indivisibilities," Econometrica, Econometric Society, vol. 87(3), pages 867-932, May.
    14. Okada, Akira, 1996. "A Noncooperative Coalitional Bargaining Game with Random Proposers," Games and Economic Behavior, Elsevier, vol. 16(1), pages 97-108, September.
    15. Friedman, Daniel & Ostroy, Joseph, 1995. "Competitivity in Auction Markets: An Experimental and Theoretical Investigation," Economic Journal, Royal Economic Society, vol. 105(428), pages 22-53, January.
    16. Ostroy, Joseph M., 2018. "Competitive pricing and the core: With reference to matching," Games and Economic Behavior, Elsevier, vol. 108(C), pages 558-573.
    17. Selten, Reinhard, 1991. "Properties of a measure of predictive success," Mathematical Social Sciences, Elsevier, vol. 21(2), pages 153-167, April.
    18. Smith, Vernon L, et al, 1982. "Competitive Market Institutions: Double Auctions vs. Sealed Bid-Offer Auctions," American Economic Review, American Economic Association, vol. 72(1), pages 58-77, March.
    19. Conley, John P. & Wilkie, Simon, 1996. "An Extension of the Nash Bargaining Solution to Nonconvex Problems," Games and Economic Behavior, Elsevier, vol. 13(1), pages 26-38, March.
    20. Toda, Manabu, 2005. "Axiomatization of the core of assignment games," Games and Economic Behavior, Elsevier, vol. 53(2), pages 248-261, November.
    21. 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.
    22. Leo K. Simon, 1984. "Bertrand, the Cournot Paradigm and the Theory of Perfect Competition," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 51(2), pages 209-230.
    23. Andreu Mas-Colell, 1982. "Perfect Competition and the Core," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 49(1), pages 15-30.
    24. Kelso, Alexander S, Jr & Crawford, Vincent P, 1982. "Job Matching, Coalition Formation, and Gross Substitutes," Econometrica, Econometric Society, vol. 50(6), pages 1483-1504, November.
    25. S.J. Rassenti & V.L. Smith & R.L. Bulfin, 1982. "A Combinatorial Auction Mechanism for Airport Time Slot Allocation," Bell Journal of Economics, The RAND Corporation, vol. 13(2), pages 402-417, Autumn.
    26. Plott, Charles R, 1982. "Industrial Organization Theory and Experimental Economics," Journal of Economic Literature, American Economic Association, vol. 20(4), pages 1485-1527, December.
    27. Campbell, Joseph & LaMaster, Shawn & Smith, Vernon L & Van Boening, Mark, 1991. "Off-Floor Trading, Disintegration, and the Bid-Ask Spread in Experimental Markets," The Journal of Business, University of Chicago Press, vol. 64(4), pages 495-522, October.
    28. Okada, Akira, 2010. "The Nash bargaining solution in general n-person cooperative games," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2356-2379, November.
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    Cited by:

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