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Assignment Markets: Theory and Experiments
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Assignment Markets: Theory and Experiments

Author

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  • 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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    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. Hendon, Ebbs & Tranaes, Torben, 1991. "Sequential bargaining in a market with one seller and two different buyers," Games and Economic Behavior, Elsevier, vol. 3(4), pages 453-466, November.
    3. Newton, Jonathan & Sawa, Ryoji, 2015. "A one-shot deviation principle for stability in matching problems," Journal of Economic Theory, Elsevier, vol. 157(C), pages 1-27.
    4. Joana Pais & Ágnes Pintér & Róbert F. Veszteg, 2020. "Decentralized matching markets with(out) frictions: a laboratory experiment," Experimental Economics, Springer;Economic Science Association, vol. 23(1), pages 212-239, March.
    5. Benassy, Jean-Pascal, 1986. "On Competitive Market Mechanisms," Econometrica, Econometric Society, vol. 54(1), pages 95-108, January.
    6. Ken Binmore & Ariel Rubinstein & Asher Wolinsky, 1986. "The Nash Bargaining Solution in Economic Modelling," RAND Journal of Economics, The RAND Corporation, vol. 17(2), pages 176-188, Summer.
    7. Benjamin Edelman & Michael Schwarz, 2010. "Optimal Auction Design and Equilibrium Selection in Sponsored Search Auctions," Harvard Business School Working Papers 10-054, Harvard Business School.
    8. Gabrielle Demange & Ahmet Alkan & David Gale, 1991. "Fair Allocation of Indivisible Goods and Money and Criteria of Justice," Post-Print halshs-00670945, HAL.
    9. Crawford, Vincent P & Knoer, Elsie Marie, 1981. "Job Matching with Heterogeneous Firms and Workers," Econometrica, Econometric Society, vol. 49(2), pages 437-450, March.
    10. 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.
    11. 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.
    12. Marina Agranov & Matt Elliott, 2021. "Commitment and (in) Efficiency: A Bargaining Experiment," Journal of the European Economic Association, European Economic Association, vol. 19(2), pages 790-838.
    13. Vernon L. Smith, 1962. "An Experimental Study of Competitive Market Behavior," Journal of Political Economy, University of Chicago Press, vol. 70(3), pages 322-322.
    14. Elliott, Matthew L. & Nava, Francesco, 2019. "Decentralized bargaining in matching markets: efficient stationary equilibria and the core," Theoretical Economics, Econometric Society, vol. 14(1), January.
    15. Nalbantian, Haig R & Schotter, Andrew, 1995. "Matching and Efficiency in the Baseball Free-Agent System: An Experimental Examination," Journal of Labor Economics, University of Chicago Press, vol. 13(1), pages 1-31, January.
    16. Walker, Donald A, 1973. "Edgeworth's Theory of Recontract," Economic Journal, Royal Economic Society, vol. 83(329), pages 138-149, March.
    17. Perez-Castrillo, David & Sotomayor, Marilda, 2002. "A Simple Selling and Buying Procedure," Journal of Economic Theory, Elsevier, vol. 103(2), pages 461-474, April.
    18. Yariv, Leeat & Agranov, Marina & Dianat, Ahrash & Samuelson, Larry, 2021. "Paying to Match: Decentralized Markets with Information Frictions," CEPR Discussion Papers 15637, C.E.P.R. Discussion Papers.
    19. Datta, Somnath & Satten, Glen A., 2005. "Rank-Sum Tests for Clustered Data," Journal of the American Statistical Association, American Statistical Association, vol. 100, pages 908-915, September.
    20. Charles R. Plott & Vernon L. Smith, 1978. "An Experimental Examination of Two Exchange Institutions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 45(1), pages 133-153.
    21. Dekel, Eddie & Fudenberg, Drew & Levine, David K., 2004. "Learning to play Bayesian games," Games and Economic Behavior, Elsevier, vol. 46(2), pages 282-303, February.
    22. Roger B. Myerson, 1977. "Graphs and Cooperation in Games," Mathematics of Operations Research, INFORMS, vol. 2(3), pages 225-229, August.
    23. Dubey, Pradeep, 1982. "Price-Quantity Strategic Market Games," Econometrica, Econometric Society, vol. 50(1), pages 111-126, January.
    24. Kamecke, U, 1989. "Non-cooperative Matching Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 18(4), pages 423-431.
    25. 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.
    26. Quint, Thomas, 1991. "Characterization of Cores of Assignment Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 19(4), pages 413-420.
    27. Kirchsteiger, Georg & Niederle, Muriel & Potters, Jan, 2005. "Endogenizing market institutions: An experimental approach," European Economic Review, Elsevier, vol. 49(7), pages 1827-1853, October.
    28. Smith, Vernon L, 1982. "Markets as Economizers of Information: Experimental Examination of the "Hayek Hypothesis"," Economic Inquiry, Western Economic Association International, vol. 20(2), pages 165-179, April.
    29. Emiko Fukuda & Yoshio Kamijo & Ai Takeuchi & Michiharu Masui & Yukihiko Funaki, 2013. "Theoretical and experimental investigations of the performance of keyword auction mechanisms," RAND Journal of Economics, RAND Corporation, vol. 44(3), pages 438-461, September.
    30. 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.
    31. Agranov Agranov & Ahrash Dianat & Larry Samuelson & Leeat Yariv, 2021. "Paying to Match: Decentralized Markets with Information Frictions," Working Papers 273, Princeton University, Department of Economics, Center for Economic Policy Studies..
    32. Okada, Akira, 1996. "A Noncooperative Coalitional Bargaining Game with Random Proposers," Games and Economic Behavior, Elsevier, vol. 16(1), pages 97-108, September.
    33. 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.
    34. Benjamin Edelman & Michael Schwarz, 2010. "Optimal Auction Design and Equilibrium Selection in Sponsored Search Auctions," American Economic Review, American Economic Association, vol. 100(2), pages 597-602, May.
    35. Philipp Otto & Friedel Bolle, 2011. "Matching markets with price bargaining," Experimental Economics, Springer;Economic Science Association, vol. 14(3), pages 322-348, September.
    36. Ostroy, Joseph M., 2018. "Competitive pricing and the core: With reference to matching," Games and Economic Behavior, Elsevier, vol. 108(C), pages 558-573.
    37. Herrero, Maria Jose, 1989. "The nash program: Non-convex bargaining problems," Journal of Economic Theory, Elsevier, vol. 49(2), pages 266-277, December.
    38. 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.
    39. Selten, Reinhard, 1991. "Properties of a measure of predictive success," Mathematical Social Sciences, Elsevier, vol. 21(2), pages 153-167, April.
    40. 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.
    41. Tenbrunsel, Ann E. & Wade-Benzoni, Kimberly A. & Moag, Joseph & Bazerman, Max H., 1999. "The Negotiation Matching Process: Relationships and Partner Selection," Organizational Behavior and Human Decision Processes, Elsevier, vol. 80(3), pages 252-283, December.
    42. 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.
    43. Williams, Arlington W, 1980. "Computerized Double-Auction Markets: Some Initial Experimental Results," The Journal of Business, University of Chicago Press, vol. 53(3), pages 235-258, July.
    44. Toda, Manabu, 2005. "Axiomatization of the core of assignment games," Games and Economic Behavior, Elsevier, vol. 53(2), pages 248-261, November.
    45. 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.
    46. 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.
    47. 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.
    48. Jon Ketcham & Vernon L. Smith & Arlington W. Williams, 1984. "A Comparison of Posted-Offer and Double-Auction Pricing Institutions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 51(4), pages 595-614.
    49. Marina Agranov & Ahrash Dianat & Larry Samuelson & Leeat Yariv, 2021. "Paying to Match: Decentralized Markets with Information Frictions," Working Papers 2021-74, Princeton University. Economics Department..
    50. 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.
    51. Heinrich Nax & Bary Pradelski, 2015. "Evolutionary dynamics and equitable core selection in assignment games," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(4), pages 903-932, November.
    52. Marina Agranov & Ahrash Dianat & Larry Samuelson & Leeat Yariv, 2021. "Paying to Match: Decentralized Markets with Information Frictions," CESifo Working Paper Series 8820, CESifo.
    53. Kachelmeier, Steven J. & Shehata, Mohamed, 1992. "Culture and competition: A laboratory market comparison between China and the West," Journal of Economic Behavior & Organization, Elsevier, vol. 19(2), pages 145-168, October.
    54. 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.
    55. Charles A. Holt, 1996. "Classroom Games: Trading in a Pit Market," Journal of Economic Perspectives, American Economic Association, vol. 10(1), pages 193-203, Winter.
    56. Plott, Charles R, 1982. "Industrial Organization Theory and Experimental Economics," Journal of Economic Literature, American Economic Association, vol. 20(4), pages 1485-1527, December.
    57. 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.
    58. Kimbrough, Erik O. & Smyth, Andrew, 2018. "Testing the boundaries of the double auction: The effects of complete information and market power," Journal of Economic Behavior & Organization, Elsevier, vol. 150(C), pages 372-396.
    59. 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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