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A Competitive Partnership Formation Process

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Author Info

  • Andersson , Tommy

    ()
    (Department of Economics, Lund University)

  • Gudmundsson , Jens

    ()
    (Department of Economics, Lund University)

  • Talman , Adolphus

    ()
    (CentER, Tilburg University)

  • Yang , Zaifu

    ()
    (Department of Economics and Related Studies, University of York)

Abstract

A group of heterogeneous agents may form partnerships in pairs. All single agents as well as all partnerships generate values. If two agents choose to cooperate, they need to specify how to split their joint value among one another. In equilibrium, which may or may not exist, no agents have incentives to break up or form new partnerships. This paper proposes a dynamic competitive adjustment process that always either finds an equilibrium or exclusively disproves the existence of any equilibrium in finitely many steps. When an equilibrium exists, partnership and revenue distribution will be automatically and endogenously determined by the process. Moreover, several fundamental properties of the equilibrium solution and the model are derived.

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Bibliographic Info

Paper provided by Lund University, Department of Economics in its series Working Papers with number 2013:2.

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Length: 18 pages
Date of creation: 04 Feb 2013
Date of revision:
Handle: RePEc:hhs:lunewp:2013_002

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Postal: Department of Economics, School of Economics and Management, Lund University, Box 7082, S-220 07 Lund,Sweden
Phone: +46 +46 222 0000
Fax: +46 +46 2224613
Web page: http://www.nek.lu.se/en
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Keywords: Partnership formation; adjustment process; equilibrium; assignment market;

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References

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  1. 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.
  2. Talman, Dolf & Yang, Zaifu, 2011. "A model of partnership formation," Journal of Mathematical Economics, Elsevier, vol. 47(2), pages 206-212, March.
  3. Mishra, D. & Talman, A.J.J., 2010. "Characterization of the Walrasian equilibria of the assignment model," Open Access publications from Tilburg University urn:nbn:nl:ui:12-3764046, Tilburg University.
  4. Andersson, Tommy & Erlanson, Albin, 2012. "Multi-Item Vickery-English-Dutch Auctions," Working Papers 2012:17, Lund University, Department of Economics, revised 15 Jan 2013.
  5. Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-64, July.
  6. Qin, Cheng-Zhong, 1996. "Endogenous Formation of Cooperation Structures," Journal of Economic Theory, Elsevier, vol. 69(1), pages 218-226, April.
  7. Andersson, T.D. & Andersson, C. & Talman, A.J.J., 2010. "Sets in Excess Demand in Ascending Auctions with Unit-Demand Bidders," Discussion Paper 2010-51, Tilburg University, Center for Economic Research.
  8. Andersson, Tommy & Svensson, Lars-Gunnar, 2008. "Non-manipulable assignment of individuals to positions revisited," Mathematical Social Sciences, Elsevier, vol. 56(3), pages 350-354, November.
  9. Becker, Gary S, 1973. "A Theory of Marriage: Part I," Journal of Political Economy, University of Chicago Press, vol. 81(4), pages 813-46, July-Aug..
  10. Sun, Ning & Yang, Zaifu, 2003. "A general strategy proof fair allocation mechanism," Economics Letters, Elsevier, vol. 81(1), pages 73-79, October.
  11. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
  12. Demange, Gabrielle & Gale, David, 1985. "The Strategy Structure of Two-sided Matching Markets," Econometrica, Econometric Society, vol. 53(4), pages 873-88, July.
  13. Chung, Kim-Sau, 2000. "On the Existence of Stable Roommate Matchings," Games and Economic Behavior, Elsevier, vol. 33(2), pages 206-230, November.
  14. Johan Karlander & Kimmo Eriksson, 2001. "Stable outcomes of the roommate game with transferable utility," International Journal of Game Theory, Springer, vol. 29(4), pages 555-569.
  15. Demange, Gabrielle & Gale, David & Sotomayor, Marilda, 1986. "Multi-Item Auctions," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 863-72, August.
  16. Ning Sun & Zaifu Yang, 2003. "A General Strategy Proof Fair Allocation Mechanism," Working Papers 346, Bielefeld University, Center for Mathematical Economics.
  17. Bettina Klaus & Alexandru Nichifor, 2010. "Consistency in one-sided assignment problems," Social Choice and Welfare, Springer, vol. 35(3), pages 415-433, September.
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Citations

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Cited by:
  1. Andersson , Tommy & Erlanson , Albin & Gudmundsson , Jens & Habis , Helga & Ingebretsen Carlson, Jim & Kratz, Jörgen, 2014. "A Method for Finding the Maximal Set in Excess Demand," Working Papers 2014:9, Lund University, Department of Economics.
  2. Gudmundsson, Jens, 2013. "Cycles and Third-Party Payments in the Partnership Formation Problem," Working Papers 2013:16, Lund University, Department of Economics.

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