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Titel
Socio-legal systems and implementation of the Nash solution in Debreu-Hurwicz equilibrium / Claus-Jochen Haake and Walter Trockel
VerfasserHaake, Claus-Jochen ; Trockel, Walter
ErschienenBielefeld, Germany : Center for Mathematical Economics (IMW), April 2021
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Elektronische Ressource
Umfang1 Online-Ressource (14 Seiten) : Diagramme
SerieCenter for Mathematical Economics Working papers ; 647
SchlagwörterArrow-Debreu-Modell / Nash-Gleichgewicht
URNurn:nbn:de:hbz:6:2-1492747 
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Socio-legal systems and implementation of the Nash solution in Debreu-Hurwicz equilibrium [0.24 mb]
Zusammenfassung

In this article we combine Debreu's (1952) social system with Hurwicz's (1994, 2008) ideas of embedding a "desired" game form into a "natural" game form that includes all feasible behavior, even if it is "illegal" according to the desired form. For the resulting socio-legal system we extend Debreus concepts of a social system and its social equilibria to a socio-legal system with its Debreu-Hurwicz equilibria.We build on a more general version of social equilibrium due to Shafer and Sonnenschein (1975) that also generalizes the dcmechanism of Koray and Yildiz (2018) which relates implementation via mechanisms with implementation via rights structures as introduced by Sertel (2001). In the second part we apply and illustrate these new concepts via an application in the narrow welfarist framework of two person cooperative bargaining. There we provide in a socio-legal system based on Nash's demand game an implementation of the Nash bargaining solution in Debreu-Hurwicz equilibrium.

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