Abstract
As we have seen, the main thrust of the theory of cooperative games has been based on the concept of a solution, typically represented by a set of imputations, that is, distributions of some collectively achieved gain among the players. The sum of the payoffs defining an imputation represents the most that the players acting as a grand coalition can attain. It follows that the principal concern of this branch of game theory is with conflict resolution. The solution of the game represents, after all, a resolution of the conflicts of interests among the players. In the context of a normative theory, the solution of a game (in the form of a set of imputations) is rationalized as satisfying certain a priori stated principles of fairness or stability.
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Notes
Among these solution concepts are the bargaining set and the kernel (cf. Rapoport, 1970, Chapters 6, 7). In each, payoff vectors are singled out that are in a certain sense stable with respect to given partitions of the set of players into coalitions. However, the question which of these coalition structures will actually form is not raised.
To account for this effect, one might redefine a minimal coalition as one containing a minimal number of parties instead of a minimal number of seats.
In this acronym, CL stands for closed’, i.e, gaplesscoalition (cf. p. 375); M stands for minimal R refers to a binary relation defining a political spectrum, e.g., party a is to the right of party b
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© 1989 Springer Science+Business Media Dordrecht
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Rapoport, A. (1989). Theories of Coalition Formation. In: Decision Theory and Decision Behaviour. Theory and Decision Library, vol 15. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-7840-0_20
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DOI: https://doi.org/10.1007/978-94-015-7840-0_20
Publisher Name: Springer, Dordrecht
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