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A Method for Finding the Maximal Set in Excess Demand

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  • Andersson , Tommy

    ()
    (Department of Economics, Lund University)

  • Erlanson , Albin

    ()
    (Department of Economics, Lund University)

  • Gudmundsson , Jens

    ()
    (Department of Economics, Lund University)

  • Habis , Helga

    ()
    (Department of Economics, Lund University)

  • Ingebretsen Carlson, Jim

    ()
    (Department of Economics, Lund University)

  • Kratz, Jörgen

    ()
    (Department of Economics, Lund University)

Abstract

We present a polynomial time method for identifying the maximal set in excess demand at a given payoff vector. This set can be used in "large" partnership formation problems to identify the minimum element in the set of individually rational payoff vectors at which there is no overdemanded set of agents. This minimum element corresponds to the minimum Walrasian equilibrium price vector in a special case of the partnership formation problem.

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Bibliographic Info

Paper provided by Lund University, Department of Economics in its series Working Papers with number 2014:9.

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Length: 7 pages
Date of creation: 07 Mar 2014
Date of revision:
Publication status: Forthcoming as Andersson, Tommy, Albin Erlanson, Jens Gudmundsson, Helga Habis, Jim Ingebretsen Carlson and Jörgen Kratz, 'A Method for Finding the Maximal Set in Excess Demand' in Economics Letters, 2014.
Handle: RePEc:hhs:lunewp:2014_009

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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; polynomial time method; excess demand;

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  1. Talman, Dolf & Yang, Zaifu, 2011. "A model of partnership formation," Journal of Mathematical Economics, Elsevier, vol. 47(2), pages 206-212, March.
  2. Andersson, T. & Gudmundsson, J. & Talman, A.J.J. & Yang, Z., 2013. "A Competitive Partnership Formation Process," Discussion Paper 2013-008, Tilburg University, Center for Economic Research.
  3. 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.
  4. Demange, Gabrielle & Gale, David, 1985. "The Strategy Structure of Two-sided Matching Markets," Econometrica, Econometric Society, vol. 53(4), pages 873-88, July.
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