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The Walras Core of an Economy and Its Limit Theorem
Cheng-Zhong Qin, University of California, Santa Barbara
Lloyd S Shapley
Ken-Ichi Shimomura
ABSTRACT: The Walras core of an economy is the set of allocations that are attainable for the consumers when their trades are constrained to be based on some agreed set of prices, and such that no alternative price system exists for any sub-coalition that allows all members to trade to something better. As compared with the Edgeworth core, both coalitional improvements and being a candidate allocation for the Walras core become harder. The Walras core may even contain allocations that violate the usual Pareto effciency. Nevertheless, the competitive allocations are the same under the two theories, and the equal-treatment Walras core allocations converge under general conditions to the competitive allocations in the process of replication.
SUGGESTED CITATION: Cheng-Zhong Qin, Lloyd S Shapley, and Ken-Ichi Shimomura,
"The Walras Core of an Economy and Its Limit Theorem"
(September 30, 2004).
Department of Economics, UCSB.
Departmental Working Papers.
Paper 15-02.
http://repositories.cdlib.org/ucsbecon/dwp/15-02
PREVIOUS VERSIONS:
Click a date to download that version.
June 03, 2002 (withdrawn)
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