Comparative Statics in Markets for Indivisible Goods
We complete the study of comparative statics initiated in Caplin and Leahy , 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.
|Date of creation:||Aug 2010|
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- Demange, Gabrielle & Gale, David, 1985.
"The Strategy Structure of Two-sided Matching Markets,"
Econometric Society, vol. 53(4), pages 873-88, July.
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University of Chicago Press, vol. 94(4), pages 863-72, August.
- Kaneko, Mamoru, 1982.
"The central assignment game and the assignment markets,"
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Elsevier, vol. 10(2-3), pages 205-232, September.
- Mamoru Kaneko, 1980. "The Central Assignment Game and the Assignment Markets," Cowles Foundation Discussion Papers 563, Cowles Foundation for Research in Economics, Yale University.
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