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  • Key words:Groves mechanisms, dominant strategy implementation  (1)
  • Variational inequalities  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Applied mathematics & optimization 28 (1993), S. 173-179 
    ISSN: 1432-0606
    Keywords: The minimax inequality ; Variational inequalities ; The FKKM theorem ; Noncompact and nonconvex sets ; Equivalence ; 49A29 ; 90C33 ; 90C50
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The purpose of this note is to give further generalizations of the Ky Fan minimax inequality by relaxing the compactness and convexity of sets and the quasi-concavity of the functional and to show that our minimax inequalities are equivalent to the Fan-Knaster-Kuratowski-Mazurkiewicz (FKKM) theorem and a modified FKKM theorem given in this note.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Review of economic design 4 (1999), S. 205-218 
    ISSN: 1434-4750
    Keywords: JEL classification:C72, D71, D82, H41 ; Key words:Groves mechanisms, dominant strategy implementation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Economics
    Notes: Abstract. This 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.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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