A dynamic solution in \(N\)-person cooperative game theory
type: Item
instance of: scholarly article
title: A dynamic solution in \(N\)-person cooperative game theory
zbMATH Open document ID: 0547.90103
DOI: 10.1016/0165-4896(83)90045-8
author: Fred Roush
author: Ki Hang Kim
published in: Mathematical Social Sciences
publication date: 1983-01-01T00:00:00Z
review text: Given a superadditive side-payment game \(v:2^ N\backslash\{\Phi\}\to {\mathbb{R}}\) with a finite player set \(N\), a dynamic cooperative process of payoff allocation is constructed. At each step one player proposes his chosen coalition and a payoff allocation within the coalition. Players take turns in making such proposals over \(M\) steps. By working backward (à la dynamic programming) the proposal of each player can be found: Player \(j\) must, for a coalition \(C\) that contains \(j\), offer each \(i\in C\) at least as much as in any subsequent proposal made by \(i\), given the constraint of \(v(C)\). A dynamic solution is defined for a sequence of such processes as \(M\to\infty\). Several convergence results and experimental results are obtained.
Mathematics Subject Classification ID: 91A20
Mathematics Subject Classification ID: 91A12
Mathematics Subject Classification ID: 91A06
Mathematics Subject Classification ID: 91A10
zbMATH DE Number: 3873113
zbMATH Keywords: competitive solution
zbMATH Keywords: Nash bargaining solution
zbMATH Keywords: penalty function
zbMATH Keywords: superadditive side-payment game
zbMATH Keywords: dynamic cooperative process of payoff allocation
zbMATH Keywords: dynamic solution
zbMATH Keywords: convergence results
reviewed by: Tatsuro Ichiishi
MaRDI profile type: Publication
full work available at URL: 0165-4896(83)90045-8
OpenAlex ID: W1995213832
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description: scientific article; zbMATH DE number 3873113