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The Economics of Equilibrium with Indivisible Goods

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  • Ravi Jagadeesan
  • Alexander Teytelboym

Abstract

This paper develops a theory of competitive equilibrium with indivisible goods based entirely on economic conditions on demand. The key idea is to analyze complementarity and substitutability between bundles of goods, rather than merely between goods themselves. This approach allows us to formulate sufficient, and essentially necessary, conditions for equilibrium existence, which unify settings with complements and settings with substitutes. Our analysis has implications for auction design.

Suggested Citation

  • Ravi Jagadeesan & Alexander Teytelboym, 2024. "The Economics of Equilibrium with Indivisible Goods," Papers 2412.07946, arXiv.org.
    • Handle: RePEc:arx:papers:2412.07946
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    References listed on IDEAS

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    1. John William Hatfield & Scott Duke Kominers & Alexandru Nichifor & Michael Ostrovsky & Alexander Westkamp, 2013. "Stability and Competitive Equilibrium in Trading Networks," Journal of Political Economy, University of Chicago Press, vol. 121(5), pages 966-1005.
    2. Elizabeth Baldwin & Omer Edhan & Ravi Jagadeesan & Paul Klemperer & Alexander Teytelboym, 2020. "The Equilibrium Existence Duality: Equilibrium with Indivisibilities & Income Effects," Papers 2006.16939, arXiv.org.
    3. Paul Klemperer, 2010. "The Product-Mix Auction: A New Auction Design for Differentiated Goods," Journal of the European Economic Association, MIT Press, vol. 8(2-3), pages 526-536, 04-05.
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    8. Elizabeth Baldwin & Ravi Jagadeesan & Paul Klemperer & Alexander Teytelboym, 2023. "The Equilibrium Existence Duality," Journal of Political Economy, University of Chicago Press, vol. 131(6), pages 1440-1476.
    9. Elizabeth Baldwin & Paul Klemperer, 2019. "Understanding Preferences: “Demand Types”, and the Existence of Equilibrium With Indivisibilities," Econometrica, Econometric Society, vol. 87(3), pages 867-932, May.
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