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Profit-Maximizing Matchmaker

  • Hideo Konishi

    ()

    (Boston College)

  • Chiu Yu Ko

    (Boston College)

This paper considers a resource allocation mechanism that utilizes a profit-maximizing auctioneer/matchmaker in the Kelso-Crawford (1982) (many-to-one) assignment problem. We consider general and simple (individualized price) message spaces for firms' reports following Milgrom (2010). We show that in the simple message space, (i) the matchmaker's profit is always zero and an acceptable assignment is achieved in every Nash equilibrium, and (ii) the sets of stable assignments and strong Nash equilibria are equivalent. By contrast, in the general message space, the matchmaker may make a positive profit even in a strong Nash equilibrium. This shows that restricting message space not only reduces the information requirement but also improves resource allocation.

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Paper provided by Boston College Department of Economics in its series Boston College Working Papers in Economics with number 721.

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Date of creation: 28 Oct 2009
Date of revision: 23 Apr 2012
Publication status: published, Games and Economic Behavior
Handle: RePEc:boc:bocoec:721
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Phone: 617-552-3670
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Web page: http://fmwww.bc.edu/EC/
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  1. LAUSSEL, Didier & LE BRETON, Michel, . "Conflict and cooperation. The structure of equilibrium payoffs in common agency," CORE Discussion Papers RP -1519, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  2. Bernheim, B. Douglas & Peleg, Bezalel & Whinston, Michael D., 1987. "Coalition-Proof Nash Equilibria I. Concepts," Journal of Economic Theory, Elsevier, vol. 42(1), pages 1-12, June.
  3. Paul Milgrom, 2008. "Simplified Mechanisms with an Application to Sponsored-Search Auctions," Discussion Papers 08-013, Stanford Institute for Economic Policy Research.
  4. Roth, Alvin E., 1985. "The college admissions problem is not equivalent to the marriage problem," Journal of Economic Theory, Elsevier, vol. 36(2), pages 277-288, August.
  5. KONISHI, Hideo & LE BRETON, Michel & WEBER, Shlomo, . "On coalition-proof Nash equilibria in common agency games," CORE Discussion Papers RP -1383, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  6. repec:cup:cbooks:9780521536721 is not listed on IDEAS
  7. Sonmez, Tayfun, 1997. "Games of Manipulation in Marriage Problems," Games and Economic Behavior, Elsevier, vol. 20(2), pages 169-176, August.
  8. repec:cup:cbooks:9780521551847 is not listed on IDEAS
  9. Takashi Hayashi & Toyotaka Sakai, 2009. "Nash implementation of competitive equilibria in the job-matching market," International Journal of Game Theory, Springer, vol. 38(4), pages 453-467, November.
  10. Bernheim, B Douglas & Whinston, Michael D, 1986. "Menu Auctions, Resource Allocation, and Economic Influence," The Quarterly Journal of Economics, MIT Press, vol. 101(1), pages 1-31, February.
  11. José Alcalde Pérez & Antonio Romero-Medina & David Pérez-Castrillo, 1997. "Hiring procedures to implement stable allocations," Working Papers. Serie AD 1997-10, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  12. 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.
  13. Roth, Alvin E. & Sotomayor, Marilda, 1992. "Two-sided matching," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 16, pages 485-541 Elsevier.
  14. Shin, Sungwhee & Suh, Sang-Chul, 1996. "A mechanism implementing the stable rule in marriage problems," Economics Letters, Elsevier, vol. 51(2), pages 185-189, May.
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