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Decentralizing Lottery Allocations in Markets with Indivisible Commodities

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Author Info
Garratt, Rod

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Abstract

In economies with indivisible commodities, consumers tend to prefer lotteries in commodities. A potential mechanism for satisfying these preferences is unrestricted purchasing and selling of lotteries in decentralized markets, as suggested in Prescott and Townsend [Int. Econ. Rev. 25, 1-20]. However, this paper shows in several examples that such lottery equilibria do not always exist for economies with finitely many consumers. Other conditions are needed. In the examples, equilibrium and the associated welfare gains are realized if consumptions are bounded or if lotteries are based upon a common "sunspot device" as defined by Shell [mimeo, 1977] and Cass and Shell [J. Pol. Econ. 91, 193-227]. The paper shows that any lottery equilibrium is either a Walrasian equilibrium or a sunspot equilibrium, but there are Walrasian and sunspot equilibria that are not lottery equilibria.

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Publisher Info
Article provided by Springer in its journal Economic Theory.

Volume (Year): 5 (1995)
Issue (Month): 2 (March)
Pages: 295-313
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Handle: RePEc:spr:joecth:v:5:y:1995:i:2:p:295-313

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  1. Rod Garratt & Todd Keister, . "A Characterization of Robust Sunspot Equilibria," University of California Santa Barbara - Department of Economics 12-99, California Santa Barbara - Department of Economics. [Downloadable!]
    Other versions:
  2. Bennardo, Alberto & Piccolo, Salvatore, 2005. "Competitive Markets with Endogenous Health Risks," CEPR Discussion Papers 5385, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
    Other versions:
  3. Jinpeng Ma & Fusheng Nie, 2002. "Walrasian Equilibrium in an Exchange Economy with Indivisibilities," Departmental Working Papers 200207, Rutgers University, Department of Economics. [Downloadable!]
  4. Koshevoy, G.A. & Talman, D., 2002. "Competitive equilibria in economies with multiple divisible and multiple indivisible commodities," Discussion Paper 71, Tilburg University, Center for Economic Research. [Downloadable!]
  5. Koshevoy, Gleb A. & Talman, Dolf, 2006. "Competitive equilibria in economies with multiple divisible and indivisible commodities and no money," Discussion Paper 51, Tilburg University, Center for Economic Research. [Downloadable!]
  6. Alberto Bennardo & Salvatore Piccolo, 2005. "Competitive occupational choices with endogenous health risks," Levine's Working Paper Archive 784828000000000199, UCLA Department of Economics. [Downloadable!]
  7. Timothy J. Kehoe & David K. Levine & Edward Prescott, 2000. "Lotteries, Sunspots and Incentive Constraints," Levine's Working Paper Archive 1974, UCLA Department of Economics. [Downloadable!]
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