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Two-Sided Matching via Balanced Exchange: Tuition and Worker Exchanges

  • Umut Mert Dur


    (University of Texas at Austin)

  • M. Utku Ünver

    (Boston College)

We introduce a new matching model to mimic two-sided exchange programs such as tuition and worker exchange, in which each firm has to avoid being a net-exporter of workers. These exchanges use decentralized markets, making it difficult to achieve a balance between exports and imports. We show that stable equilibria discourage net-exporting firms from exchange. We introduce the two-sided top-trading-cycles mechanism that is balanced-efficient, worker-strategy-proof, acceptable, and individually rational, and respects priority bylaws regarding worker eligibility. We prove that it is the unique mechanism fulfilling these objectives. Moreover, it encourages exchange, since full participation is the dominant strategy for firms.

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Paper provided by Boston College Department of Economics in its series Boston College Working Papers in Economics with number 815.

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Date of creation: 25 Nov 2012
Date of revision: 11 Mar 2015
Handle: RePEc:boc:bocoec:815
Note: previously circulated as "Tuition Exchange"
Contact details of provider: Postal: Boston College, 140 Commonwealth Avenue, Chestnut Hill MA 02467 USA
Phone: 617-552-3670
Fax: +1-617-552-2308
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  1. Sonmez, Tayfun, 1997. "Manipulation via Capacities in Two-Sided Matching Markets," Journal of Economic Theory, Elsevier, vol. 77(1), pages 197-204, November.
  2. Gunter J. Hitsch & Ali Horta�su & Dan Ariely, 2010. "Matching and Sorting in Online Dating," American Economic Review, American Economic Association, vol. 100(1), pages 130-63, March.
  3. Richard Engelbrecht-Wiggans & Charles M. Kahn, 1998. "Multi-unit auctions with uniform prices," Economic Theory, Springer, vol. 12(2), pages 227-258.
  4. Abdulkadiroglu, Atila & Sonmez, Tayfun, 1999. "House Allocation with Existing Tenants," Journal of Economic Theory, Elsevier, vol. 88(2), pages 233-260, October.
  5. Sönmez, Tayfun & Ünver, M. Utku, 2014. "Altruistically unbalanced kidney exchange," Journal of Economic Theory, Elsevier, vol. 152(C), pages 105-129.
  6. Thayer Morrill, 2013. "An alternative characterization of top trading cycles," Economic Theory, Springer, vol. 54(1), pages 181-197, September.
  7. Tayfun Sonmez, 1999. "Strategy-Proofness and Essentially Single-Valued Cores," Econometrica, Econometric Society, vol. 67(3), pages 677-690, May.
  8. Alvin E. Roth & Elliott Peranson, 1999. "The Redesign of the Matching Market for American Physicians: Some Engineering Aspects of Economic Design," NBER Working Papers 6963, National Bureau of Economic Research, Inc.
  9. Ünver, M. Utku & Sönmez, Tayfun & Roth, Alvin, 2007. "Efficient Kidney Exchange: Coincidence of Wants in a Markets with Compatibility-Based Preferences," Scholarly Articles 2562809, Harvard University Department of Economics.
  10. Kesten, Onur, 2006. "On two competing mechanisms for priority-based allocation problems," Journal of Economic Theory, Elsevier, vol. 127(1), pages 155-171, March.
  11. Marek Pycia & M. Utku Ünver, 2009. "Incentive Compatible Allocation and Exchange of Discrete Resources," Boston College Working Papers in Economics 715, Boston College Department of Economics, revised 11 Mar 2014.
  12. Balinski, Michel & Sonmez, Tayfun, 1999. "A Tale of Two Mechanisms: Student Placement," Journal of Economic Theory, Elsevier, vol. 84(1), pages 73-94, January.
  13. Roth, Alvin E, 1984. "The Evolution of the Labor Market for Medical Interns and Residents: A Case Study in Game Theory," Journal of Political Economy, University of Chicago Press, vol. 92(6), pages 991-1016, December.
  14. Fuhito Kojima & Parag A. Pathak, 2009. "Incentives and Stability in Large Two-Sided Matching Markets," American Economic Review, American Economic Association, vol. 99(3), pages 608-27, June.
  15. Ma, Jinpeng, 1994. "Strategy-Proofness and the Strict Core in a Market with Indivisibilities," International Journal of Game Theory, Springer, vol. 23(1), pages 75-83.
  16. Sweeney, Joan & Sweeney, Richard James, 1977. "Monetary Theory and the Great Capitol Hill Baby Sitting Co-op Crisis: Comment," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 9(1), pages 86-89, February.
  17. Dur, Umut, 2012. "A Characterization of the Top Trading Cycles Mechanism for the School Choice Problem," MPRA Paper 41366, University Library of Munich, Germany.
  18. Sasaki, Hiroo & Toda, Manabu, 1996. "Two-Sided Matching Problems with Externalities," Journal of Economic Theory, Elsevier, vol. 70(1), pages 93-108, July.
  19. Sönmez, Tayfun & Ünver, M. Utku, 2010. "House allocation with existing tenants: A characterization," Games and Economic Behavior, Elsevier, vol. 69(2), pages 425-445, July.
  20. Atila Abdulkadiroglu & Tayfun Sönmez, 2003. "School Choice: A Mechanism Design Approach," American Economic Review, American Economic Association, vol. 93(3), pages 729-747, June.
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