Non-cooperative implementation of the nucleolus: The 3-player case
type: Item
instance of: scholarly article
title: Non-cooperative implementation of the nucleolus: The 3-player case
zbMATH Open document ID: 0795.90093
DOI: 10.1007/BF01240131
author: Roberto Serrano
published in: International Journal of Game Theory
publication date: 1994-01-26T00:00:00Z
review text: This paper continues the tradition of the Nash program by exploring a negotiation mechanism that is capable of implementing the nucleolus of a superadditive 3-player characteristic function game. The mechanism is an infinite alternating-offer bargaining scheme with exit and outside options, which is modelled as a noncooperative game in extensive form with almost perfect information. There is no discounting; rather, the cost of delay is incorporated as a fixed cost of bargaining that only the proposer must pay. The noncooperative game has a unique Markov perfect equilibrium that yields the prenucleolus and therefore, by superadditivity, the nucleolus of the cooperative game if the order of proposers corresponds to the power attributed to players by the characteristic function. The result cannot be extended to more than three players.
reviewed by: Michael Mesterton-Gibbons
Mathematics Subject Classification ID: 91A12
zbMATH DE Number: 490749
zbMATH Keywords: negotiation mechanism
zbMATH Keywords: nucleolus
zbMATH Keywords: superadditive 3-player characteristic function game
zbMATH Keywords: bargaining
zbMATH Keywords: unique Markov perfect equilibrium
zbMATH Keywords: prenucleolus
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 490749