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Comparative Statics in Markets for Indivisible Goods

Author

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  • Andrew Caplin
  • John V. Leahy

Abstract

We complete the study of comparative statics initiated in Caplin and Leahy [2010], which introduced a new mathematical apparatus for understanding NTU allocation markets, as such covering the housing market and other markets for large indivisible goods. We introduce homotopy methods to characterize how equilibrium changes in response to arbitrary parameter changes. Generically, we show that there can be five and only five qualitatively distinct forms of market transition: Graft; Prune and Plant; Prune and Graft; Cycle and Reverse; and Shift and Replant. Our path-following methods identify new algorithms for computing market equilibria.

Suggested Citation

  • Andrew Caplin & John V. Leahy, 2010. "Comparative Statics in Markets for Indivisible Goods," NBER Working Papers 16285, National Bureau of Economic Research, Inc.
  • Handle: RePEc:nbr:nberwo:16285 Note: EFG
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    File URL: http://www.nber.org/papers/w16285.pdf
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    References listed on IDEAS

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    1. Demange, Gabrielle & Gale, David, 1985. "The Strategy Structure of Two-sided Matching Markets," Econometrica, Econometric Society, vol. 53(4), pages 873-888, July.
    2. Kaneko, Mamoru, 1982. "The central assignment game and the assignment markets," Journal of Mathematical Economics, Elsevier, vol. 10(2-3), pages 205-232, September.
    3. Demange, Gabrielle & Gale, David & Sotomayor, Marilda, 1986. "Multi-Item Auctions," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 863-872, August.
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    Cited by:

    1. Caplin, Andrew & Leahy, John, 2014. "A graph theoretic approach to markets for indivisible goods," Journal of Mathematical Economics, Elsevier, vol. 52(C), pages 112-122.

    More about this item

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • D40 - Microeconomics - - Market Structure, Pricing, and Design - - - General
    • E1 - Macroeconomics and Monetary Economics - - General Aggregative Models
    • R31 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Real Estate Markets, Spatial Production Analysis, and Firm Location - - - Housing Supply and Markets

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