Overdemand and Underdemand in Economies with Indivisible Goods and Unit Demands

D. Mishra, A.J.J. Talman

Research output: Working paperDiscussion paperOther research output

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Abstract

We study an economy where a collection of indivisible goods are sold to a set of buyers who want to buy at most one good.We characterize the set of Walrasian equilibrium price vectors in such an economy using sets of overdemanded and underdemanded goods.Further, we give characterizations for the minimum and the maximum Walrasian equilibrium price vectors of this economy.As a consequence of these characterizations, we can say if overdemanded sets of goods and underdemanded sets of goods exist at a price vector given its position in the price vector space with respect to the minimum and the maximum Walrasian equilibrium price vectors.We also analyze what happens with the Walrasian equilibrium price vectors if one of the buyers or one of the goods is removed from the economy.
Original languageEnglish
Place of PublicationTilburg
PublisherMicroeconomics
Number of pages23
Volume2006-84
Publication statusPublished - 2006

Publication series

NameCentER Discussion Paper
Volume2006-84

Fingerprint

Walrasian equilibrium
Equilibrium price
Buyers

Keywords

  • invisible goods
  • Walrasian equilibrium
  • auctions

Cite this

Mishra, D., & Talman, A. J. J. (2006). Overdemand and Underdemand in Economies with Indivisible Goods and Unit Demands. (CentER Discussion Paper; Vol. 2006-84). Tilburg: Microeconomics.
Mishra, D. ; Talman, A.J.J. / Overdemand and Underdemand in Economies with Indivisible Goods and Unit Demands. Tilburg : Microeconomics, 2006. (CentER Discussion Paper).
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Mishra, D & Talman, AJJ 2006 'Overdemand and Underdemand in Economies with Indivisible Goods and Unit Demands' CentER Discussion Paper, vol. 2006-84, Microeconomics, Tilburg.

Overdemand and Underdemand in Economies with Indivisible Goods and Unit Demands. / Mishra, D.; Talman, A.J.J.

Tilburg : Microeconomics, 2006. (CentER Discussion Paper; Vol. 2006-84).

Research output: Working paperDiscussion paperOther research output

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KW - auctions

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Mishra D, Talman AJJ. Overdemand and Underdemand in Economies with Indivisible Goods and Unit Demands. Tilburg: Microeconomics. 2006. (CentER Discussion Paper).