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Many-to-Many Matching with Max-Min Preferences

Author

Listed:
  • John Hatfield

    (University of Texas at Austin)

  • Fuhito Kojima

    (Stanford University)

  • Yusuke Narita

    (Massachusetts Institute of Technology)

Abstract

We consider the many-to-many two-sided matching problem under a stringent domain restriction on preferences called the max-min criterion. We show that, even under this restriction, there is no stable mechanism that is weakly Pareto efficient, strategy-proof, or monotonic (i.e. respects improvements) for agents on one side of the market. These results imply in particular that three of the main results of [4] are incorrect.

Suggested Citation

  • John Hatfield & Fuhito Kojima & Yusuke Narita, 2012. "Many-to-Many Matching with Max-Min Preferences," Discussion Papers 12-020, Stanford Institute for Economic Policy Research.
    • Handle: RePEc:sip:dpaper:12-020
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    References listed on IDEAS

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    5. Darrell Duffie & Chi-Fu Huang, 2005. "Implementing Arrow-Debreu Equilibria By Continuous Trading Of Few Long-Lived Securities," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 4, pages 97-127, World Scientific Publishing Co. Pte. Ltd..
    6. Diamond, Douglas W. & Rajan, Raghuram G., 2001. "Banks, short-term debt and financial crises: theory, policy implications and applications," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 54(1), pages 37-71, June.
    7. Juan Carlos Hatchondo & Leonardo Martinez & César Sosa-Padilla, 2016. "Debt Dilution and Sovereign Default Risk," Journal of Political Economy, University of Chicago Press, vol. 124(5), pages 1383-1422.
    8. Jayant R. Kale & Thomas H. Noe, 1990. "Risky Debt Maturity Choice In A Sequential Game Equilibrium," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 13(2), pages 155-166, June.
    9. Jean Tirole, 2003. "Inefficient Foreign Borrowing: A Dual- and Common-Agency Perspective," American Economic Review, American Economic Association, vol. 93(5), pages 1678-1702, December.
    10. Alberto Alesina & Guido Tabellini, 1990. "A Positive Theory of Fiscal Deficits and Government Debt," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 57(3), pages 403-414.
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    12. David M. Kreps, 1982. "Multiperiod Securities and the Efficient Allocation of Risk: A Comment on the Black-Scholes Option Pricing Model," NBER Chapters, in: The Economics of Information and Uncertainty, pages 203-232, National Bureau of Economic Research, Inc.
    13. George-Marios Angeletos, 2002. "Fiscal Policy with Noncontingent Debt and the Optimal Maturity Structure," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(3), pages 1105-1131.
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    Cited by:

    1. Kojima, Fuhito, 2013. "Efficient resource allocation under multi-unit demand," Games and Economic Behavior, Elsevier, vol. 82(C), pages 1-14.
    2. Leonardo Boncinelli & Alessio Muscillo & Paolo Pin, 2022. "Efficiency and Stability in a Process of Teams Formation," Dynamic Games and Applications, Springer, vol. 12(4), pages 1101-1129, December.

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