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Competitive Equilibrium with Indivisibilities

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Author Info
Jinpeng Ma () (Economics, Rutgers University, Camden, NJ 08102)
Abstract

This paper studies an exchange economy with a finite number of agents in which each agent is initially endowed with a finite number of (personalized) indivisible commodities. We observe that the core equivalence theorem may not hold for this economy when the coalitional form game is generated in the standard manner. We provide an alternative definition of the coalitional form game to resolve this problem so that the balancedness of the new defined game provides a useful necessary and sufficient condition for the existence of competitive equilibrium for the original economy. We also observe that the nice strategy proof property of the minimum competitive price mechanism in the assignment problem and the Vickrey auction model does not carry over to the above economy. We show that examples of exchange economies exist for which no competitive price mechanism is individually (coalitionally) strategy proof.

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Paper provided by Rutgers University, Department of Economics in its series Departmental Working Papers with number 199809.

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Date of creation: 12 Apr 1998
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Handle: RePEc:rut:rutres:199809

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Related research
Keywords: competitive equilibrium;

Find related papers by JEL classification:
D41 - Microeconomics - - Market Structure and Pricing - - - Perfect Competition

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

  1. Demange, Gabrielle & Gale, David, 1985. "The Strategy Structure of Two-sided Matching Markets," Econometrica, Econometric Society, vol. 53(4), pages 873-88, July. [Downloadable!] (restricted)
  2. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March. [Downloadable!] (restricted)
  3. Kaneko, Mamoru, 1983. "Housing markets with indivisibilities," Journal of Urban Economics, Elsevier, vol. 13(1), pages 22-50, January. [Downloadable!] (restricted)
  4. Leonard, Herman B, 1983. "Elicitation of Honest Preferences for the Assignment of Individuals to Positions," Journal of Political Economy, University of Chicago Press, vol. 91(3), pages 461-79, June. [Downloadable!] (restricted)
  5. Tjalling C. Koopmans & Martin J. Beckmann, 1955. "Assignment Problems and the Location of Economic Activities," Cowles Foundation Discussion Papers 4, Cowles Foundation, Yale University. [Downloadable!]
  6. Bikhchandani, Sushil & Mamer, John W., 1997. "Competitive Equilibrium in an Exchange Economy with Indivisibilities," Journal of Economic Theory, Elsevier, vol. 74(2), pages 385-413, June. [Downloadable!] (restricted)
  7. Martine Quinzii, 1982. "Core and Competitive Equilibria with Indivisibilities," Cowles Foundation Discussion Papers 644, Cowles Foundation, Yale University. [Downloadable!]
  8. McMillan, John, 1994. "Selling Spectrum Rights," Journal of Economic Perspectives, American Economic Association, vol. 8(3), pages 145-62, Summer. [Downloadable!] (restricted)
  9. Roth, Alvin E, 1984. "Stability and Polarization of Interests in Job Matching," Econometrica, Econometric Society, vol. 52(1), pages 47-57, January. [Downloadable!] (restricted)
  10. Gul, F. & Stacchetti, E., 1997. "Walrasian Equilibrium Without Complementarities," Papers 97-03, Michigan - Center for Research on Economic & Social Theory.
  11. Kaneko, Mamoru & Yamamoto, Yoshitsugu, 1986. "The existence and computation of competitive equilibria in markets with an indivisible commodity," Journal of Economic Theory, Elsevier, vol. 38(1), pages 118-136, February. [Downloadable!] (restricted)
  12. Kaneko, Mamoru, 1982. "The central assignment game and the assignment markets," Journal of Mathematical Economics, Elsevier, vol. 10(2-3), pages 205-232, September. [Downloadable!] (restricted)
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  1. Jinpeng Ma, 1998. "Job Matching and Coalition Formation with Utility or Disutility of Co-workers," Discussion Papers 1230, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
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