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On Non-Cooperative Foundation and Implementation of the Nash Solution in Subgame Perfect Equilibrium via Rubinstein's Game

Authors: Duman, Papatya; Trockel, Walter;

On Non-Cooperative Foundation and Implementation of the Nash Solution in Subgame Perfect Equilibrium via Rubinstein's Game

Abstract

In this paper we provide an exact non-cooperative foundation of the Nash solution via a unique (weakly) subgame perfect equilibrium payoff vector in a two-person bargaining game, which is a modification of the well-known alternate offer game by Rubinstein (1982). We also discuss the extent to which our exact and approximate supports of the Nash solution allow an implementation of the Nash solution in (weakly) subgame perfect equilibrium. We show that a sound interpretation as an implementation can only be found in very rare cases where the domains of players’ preferences are extremely restricted.

Countries
Austria, Germany
Keywords

330, ddc:330, Non-cooperative foundation, Rubinstein game, non-cooperative foundation, Nash solution, Nash program, C71, HB1-3840, C72, C73, Subgame perfect equilibrium, Implementation, JF20-2112, C7, Economic theory. Demography, Political institutions and public administration (General), implementation

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    influence
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
Green
gold