Final published version
Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Constitutional implementation
AU - Peleg, B.
AU - Winter, E.
PY - 2002/9
Y1 - 2002/9
N2 - We consider the problem of implementing a social choice correspondence H in Nash equilibrium when the constitution of the society is given by an effectivity function E. It is assumed that the effectivity function of H, E H, is a sub-correspondence of E. We found necessary and efficient conditions for a game form Γ to implement H (in Nash equilibria), and to satisfy, at the same time, that EΓ, the effectivity function of Γ, is a sub-correspondence of EH (which guarantees that Γ is compatible with E). We also find sufficient conditions for the coincidence of the set of winning coalitions of EΓ and E H, and for EΓ = EH. All our results are sharp as is shown by suitable examples. © Springer-Verlag 2002.
AB - We consider the problem of implementing a social choice correspondence H in Nash equilibrium when the constitution of the society is given by an effectivity function E. It is assumed that the effectivity function of H, E H, is a sub-correspondence of E. We found necessary and efficient conditions for a game form Γ to implement H (in Nash equilibria), and to satisfy, at the same time, that EΓ, the effectivity function of Γ, is a sub-correspondence of EH (which guarantees that Γ is compatible with E). We also find sufficient conditions for the coincidence of the set of winning coalitions of EΓ and E H, and for EΓ = EH. All our results are sharp as is shown by suitable examples. © Springer-Verlag 2002.
KW - Effectivity function
KW - Implementation
KW - Nash equilibrium
U2 - 10.1007/s100580200074
DO - 10.1007/s100580200074
M3 - Journal article
VL - 7
SP - 187
EP - 204
JO - Review of Economic Design
JF - Review of Economic Design
SN - 1434-4742
IS - 2
ER -