Buying several indivisible goods
AbstractThis paper studies economies where agents exchange indivisible goods and money. Agents havepotencial use for all indivisible goods and the indivisible goods are differentiated. We assume thatagents have quasilinear utilities in money, have sufficiently money endowments to afford anygroup of objects priced below their reservation values, have reservation values which aresubmodular and satisfy the Cardinality Condition. This Cardinality Condition requires that for eachagent the marginal utility of an object only depends on the number of objects to which it is added,not an their characteristics. Under these assumptions, we show that the set of competitiveequilibrium prices is a non empty lattice and that, in any equilibrium, the price of an object isbetween the social value of the object and its second best use.
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Bibliographic InfoArticle provided by Elsevier in its journal Mathematical Social Sciences.
Volume (Year): 37 (1999)
Issue (Month): 1 (January)
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Web page: http://www.elsevier.com/locate/inca/505565
Other versions of this item:
- Carmen Bevia & Martine Quinzii & JosŽ A. Silva, . "Buying Several Indivisible Goods," Department of Economics 97-20, California Davis - Department of Economics.
- Carmen Beviá Baeza & José Angel Silva Reus, 1997. "Buying several indivisible goods," Working Papers. Serie AD 1997-27, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
- Martine Quinzii & Carmen Bevia & JosÅ A. Silva, 2003. "Buying Several Indivisible Goods," Working Papers 9720, University of California, Davis, Department of Economics.
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- Kaneko, Mamoru, 1982.
"The central assignment game and the assignment markets,"
Journal of Mathematical Economics,
Elsevier, vol. 10(2-3), pages 205-232, September.
- Mamoru Kaneko, 1980. "The Central Assignment Game and the Assignment Markets," Cowles Foundation Discussion Papers 563, Cowles Foundation for Research in Economics, Yale University.
- Henry, Claude, 1970. "Indivisibilites dans une Economie d'Echanges. (With English summary.)," Econometrica, Econometric Society, vol. 38(3), pages 542-58, May.
- 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.
- 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.
- 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.
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