The Central Assignment Game and the Assignment Markets
AbstractInitially we prove the nonemptiness of the core of an n-person game without side payments called a central assignment game. Next, we provide a market model with indivisible goods but without the transferable utility assumption. Applying the first result to the market model, we prove the nonemptiness of the core and the existence of a competitive equilibrium. Finally, we provide a generalization of the market model and also show the nonemptiness of the core and the existence of a competitive equilibrium using the results in the previous model.
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Bibliographic InfoPaper provided by Cowles Foundation for Research in Economics, Yale University in its series Cowles Foundation Discussion Papers with number 563.
Length: 38 pages
Date of creation: Oct 1980
Date of revision:
Publication status: Published in Journal of Mathematical Economics (1982), 10: 205-232
Note: CFP 551.
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Postal: Yale University, Box 208281, New Haven, CT 06520-8281 USA
Phone: (203) 432-3702
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Web page: http://cowles.econ.yale.edu/
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Postal: Cowles Foundation, Yale University, Box 208281, New Haven, CT 06520-8281 USA
Other versions of this item:
- Kaneko, Mamoru, 1982. "The central assignment game and the assignment markets," Journal of Mathematical Economics, Elsevier, vol. 10(2-3), pages 205-232, September.
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Herbert E. Scarf, 1965. "The Core of an N Person Game," Cowles Foundation Discussion Papers 182R, Cowles Foundation for Research in Economics, Yale University.
- Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
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