A characterization of the existenceof optimal dominant strategy mechanisms
AbstractThis paper provides two theorems which characterize the domains of valuation functions for which there exist Pareto efficient and truth dominant strategy mechanisms (balanced Groves mechanisms). Theorem 1 characterizes the existence of balanced Groves mechanisms for a general class of valuation functions. Theorem 2 provides new balance-permitting domains of valuation functions by reducing the problem of solving partial differential equations to the problem of solving a polynomial function. It shows that a balanced Groves mechanism exists if and only if each valuation function in the family under consideration can be obtained by solving a polynomial function with order less than $n-1$, where n is the number of individuals.
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Bibliographic InfoArticle provided by Springer in its journal Review of Economic Design.
Volume (Year): 4 (1999)
Issue (Month): 3 ()
Note: Received: 5 January 1997 / Accepted: 25 May 1999
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Find related papers by JEL classification:
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
- D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
- D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
- H41 - Public Economics - - Publicly Provided Goods - - - Public Goods
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