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Competitive Equilibria in a Market for Indivisible Commodities with Middlemen

Author

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  • Takayuki Oishi

    (Institute of Economic Research, Kyoto University)

  • Shin Sakaue

    (Graduate School of Economics, Keio University)

Abstract
In this paper, we consider a market of indivisible goods with middlemen as an assignment market. Initially, we show that the set of all imputations given by competitive equilibria of an assignment market with middlemen who trade a single unit of indivisible goods coincides with the core of the game derived from the market. Next, by using the first result, we show that the set of all imputations given by competitive equilibria of an assignment market with middlemen who trade multiple units of indivisible goods coincides with the core of the game of another three-sided assignment market generated from this market. Finally, by using the second result, we give an equivalent condition for the existence of a competitive equilibrium of an assignment market in which each middleman trades multiple units of goods. This equivalent condition can be characterized by the existence of an integral solution of a linear program.

Suggested Citation

  • Takayuki Oishi & Shin Sakaue, 2008. "Competitive Equilibria in a Market for Indivisible Commodities with Middlemen," Keio/Kyoto Joint Global COE Discussion Paper Series 2008-016, Keio/Kyoto Joint Global COE Program.
    • Handle: RePEc:kei:dpaper:2008-016
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