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 InfoArticle provided by Elsevier in its journal Journal of Mathematical Economics.
Volume (Year): 10 (1982)
Issue (Month): 2-3 (September)
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Web page: http://www.elsevier.com/locate/jmateco
Other versions of this item:
- Mamoru Kaneko, 1980. "The Central Assignment Game and the Assignment Markets," Cowles Foundation Discussion Papers 563, Cowles Foundation for Research in Economics, Yale University.
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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