A characterization of natural and double implementation in production economies

Naoki Yoshihara ()

Social Choice and Welfare, 2000, vol. 17, issue 4, 599 pages

Abstract: We define two types of natural mechanisms, quantity and price-quantity types, in convex production economies, and characterize the class of Pareto subsolutions doubly implementable in Nash and strong Nash equilibria by these mechanisms respectively. First, we show that there is a class of Pareto subsolutions doubly implementable by natural quantity mechanisms, as long as production sets have smooth boundaries. We characterize the class of Pareto subsolutions doubly implementable by natural price-quantity mechanisms without assuming differentiability of utility functions. Third, we show that the Walrasian solution is the unique Pareto and fully individually rational solution naturally and doubly implementable in private ownership economies.

Date: 2000-08-02
Note: Received: 4 December 1997/Accepted: 25 August 1999
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Working Paper: A Characterization of Natural and Double Implementation in Production Economics (2000)
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