Journal ArticleDOI
The kernel and the nucleolus of a product of simple games
TLDR
In this paper, the kernel and the nucleolus of a product of two simple games are given in terms of the kernels and nucleoluses of the components of the component games.Abstract:
The kernel and the nucleolus of a product of two simple games are given in terms of the kernels and the nucleoluses of the component games.read more
Citations
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Book ChapterDOI
Chapter 18 The bargaining set, kernel, and nucleolus
TL;DR: In this paper, the authors focus on the bargaining set, kernel, and nucleolus, and discuss the axiomatic foundation of the prekernel and the prenucleolus.
Journal ArticleDOI
Some Recent Developments in n-Person Game Theory
TL;DR: A general survey of the mathematical theory of games is presented with particular emphasis on recent developments in the theory of the core and stable sets (solutions) for the multi-person cooperative games in characteristic function form as mentioned in this paper.
Journal ArticleDOI
Voting Power in the EU Council of Ministers and Fair Decision Making in Distributive Politics
TL;DR: In this paper, the authors analyze and evaluate the different decision rules describing the Council of Ministers of the EU starting from 1958 up to now, and propose a methodology for the design of the optimal (fair) decision rules, and conclude that Germany should receive more than the other three large countries under the optimal voting rule.
Journal ArticleDOI
Voting Power in the EU Council of Ministers and Fair Decision Making in Distributive Politics
TL;DR: In this paper, the authors analyze and evaluate the different decision rules describing the Council of Ministers of the EU starting from 1958 up to date, and propose a methodology for the design of the optimal (fair) decision rules.
Journal ArticleDOI
Nucleoluses of Compound Simple Games
TL;DR: The nucleolus is a unique solution concept for a cooperative game and belongs to the kernel of the game given m games over disjoint sets of players and an m-player game, one defines a compound game over the union of the m disjunoint sets These m games are the components and the above mplayer game is called the quotient as discussed by the authors.
References
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Journal ArticleDOI
The kernel of a cooperative game
Morton Davis,Michael Maschler +1 more
TL;DR: In this article, the authors defined the kernel of a cooperative n-person game and applied it to the 3-person games, to the 4-person constant-sum games and to games in which only the n and the (n-1)-person coalitions are allowed to be non-flat.
Journal ArticleDOI
Simple games: An outline of the descriptive theory
TL;DR: This paper outlines the theoretical structure of coalitions in parliamentary bodies, sketching out their application to the United States Congress, the United Nations Security Council, or any such body in which the acquisition of power is the payoff.
Journal ArticleDOI
The Structure of the Kernel of a Cooperative Game
Michael Maschler,Bezalel Peleg +1 more
TL;DR: The authors derive a procedure for the players which, if abided by, leads to an outcome in the kernel of a cooperative game, and the results that are obtained reduce considerably the amount of computation which is needed to compute the kernels of such games.
Compound simple games 1: solutions of sums and products
TL;DR: In this paper, the authors studied the relationship between the solutions of the compound games and those of the components in two forms of combination, the sum and the product, in which a coalition wins if it wins in either component, and the result that a coalition won only if it won in both components.