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A Graph Theoretic Approach to Markets for Indivisible Goods

  • Andrew Caplin
  • John V. Leahy

Many important markets, such as the housing market, involve goods that are both indivisible and of budgetary significance. We introduce new graph theoretic techniques ideally suited to analyzing such markets. In this paper and its companion (Caplin and Leahy [2010]), we use these techniques to fully characterize the comparative static properties of these markets and to identify algorithms for computing equilibria.

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File URL: http://www.nber.org/papers/w16284.pdf
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Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 16284.

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Date of creation: Aug 2010
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Publication status: published as A Graph Theoretic Approach to Markets for Indivisible Goods (with Andrew Caplin), Journal of Mathematical Economics 52, May 2014, 112-122.
Handle: RePEc:nbr:nberwo:16284
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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 873-88, July.
  2. Roback, Jennifer, 1982. "Wages, Rents, and the Quality of Life," Journal of Political Economy, University of Chicago Press, vol. 90(6), pages 1257-78, December.
  3. Miyake, Mitsunobu, 2003. "Precise computation of a competitive equilibrium of the discrete land market model," Regional Science and Urban Economics, Elsevier, vol. 33(6), pages 721-743, October.
  4. Martine Quinzii, 1982. "Core and Competitive Equilibria with Indivisibilities," Cowles Foundation Discussion Papers 644, Cowles Foundation for Research in Economics, Yale University.
  5. 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.
  6. Kaneko, Mamoru & Ito, Tamon & Osawa, Yu-ichi, 2006. "Duality in comparative statics in rental housing markets with indivisibilities," Journal of Urban Economics, Elsevier, vol. 59(1), pages 142-170, January.
  7. Crawford, Vincent P & Knoer, Elsie Marie, 1981. "Job Matching with Heterogeneous Firms and Workers," Econometrica, Econometric Society, vol. 49(2), pages 437-50, March.
  8. Kaneko, Mamoru, 1982. "The central assignment game and the assignment markets," Journal of Mathematical Economics, Elsevier, vol. 10(2-3), pages 205-232, September.
  9. Debasis Mishra & Dolf Talman, 2008. "Characterization of the walrasian equilibria of the assignment model," Indian Statistical Institute, Planning Unit, New Delhi Discussion Papers 08-07, Indian Statistical Institute, New Delhi, India.
  10. Gabrielle Demange & Gale David & Marilda Sotomayor, 1986. "Multi-Item Auctions," Post-Print halshs-00670982, HAL.
  11. Miyake, Mitsunobu, 1994. "Comparative statics of assignment markets with general utilities," Journal of Mathematical Economics, Elsevier, vol. 23(6), pages 519-531, November.
  12. Herbert Scarf, 1994. "The Allocation of Resources in the Presence of Indivisibilities," Journal of Economic Perspectives, American Economic Association, vol. 8(4), pages 111-128, Fall.
  13. Ricardo, David, 1821. "On the Principles of Political Economy and Taxation," History of Economic Thought Books, McMaster University Archive for the History of Economic Thought, edition 3, number ricardo1821.
  14. Meese Richard & Wallace Nancy, 1994. "Testing the Present Value Relation for Housing Prices: Should I Leave My House in San Francisco?," Journal of Urban Economics, Elsevier, vol. 35(3), pages 245-266, May.
  15. Andrew Caplin & John V. Leahy, 2010. "Comparative Statics in Markets for Indivisible Goods," NBER Working Papers 16285, National Bureau of Economic Research, Inc.
  16. Tjalling C. Koopmans & Martin J. Beckmann, 1955. "Assignment Problems and the Location of Economic Activities," Cowles Foundation Discussion Papers 4, Cowles Foundation for Research in Economics, Yale University.
  17. Alkan, Ahmet, 1989. "Existence and computation of matching equilibria," European Journal of Political Economy, Elsevier, vol. 5(2-3), pages 285-296.
  18. Rosen, Sherwin, 1974. "Hedonic Prices and Implicit Markets: Product Differentiation in Pure Competition," Journal of Political Economy, University of Chicago Press, vol. 82(1), pages 34-55, Jan.-Feb..
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