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  • 90C33  (1)
  • Keywords and Phrases: Double implementation Walrasian allocations  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Minimax inequalities equivalent to the Fan-Knaster-Kuratowski-Mazurkiewicz theorems (1993)
    Springer
    Applied mathematics & optimization 28 (1993), S. 173-179 
    Details
    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
    URL: http://dx.doi.org/10.1007/BF01182980
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Double implementation in economies with production technologies unknown to the designer (1999)
    Springer
    Economic theory 13 (1999), S. 689-707 
    Details
    ISSN: 1432-0479
    Keywords: Keywords and Phrases: Double implementation Walrasian allocations ; Lindahl allocations ; Unkown production technologies. ; JEL Classification Numbers: C72 ; D51 ; D71 ; H41.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Economics
    Notes: Summary. This paper considers double implementation of Walrasian allocations and Lindahl allocations in Nash and strong Nash equilibria for both private and public goods economies when preferences, initial endowments, production technologies, and coalition patterns are all unknown to the designer. It will be noted that the mechanisms presented here are feasible and continuous. In addition, unlike most mechanisms proposed in the literature, our mechanism works not only for three or more agents, but also for two-agent economies, and thus it is a unified mechanism which is irrespective of the number of agents.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s001990050276
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    Paper (German National Licenses)
    Fulltext
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