The common features of a cooperative game theory model – like the model of a game with transferable utility in Chap. 9 – include: the abstraction from a detailed description of the strategic possibilities of a player; instead, a detailed description of what players and coalitions can attain in terms of outcomes or utilities; solution concepts based on strategic considerations and/or considerations of fairness, equity, efficiency, etc.; if possible, an axiomatic characterization of such solution concepts. For instance, one can argue that the core for TU-games is based on strategic considerations whereas the Shapley value is based on a combination of efficiency and symmetry or fairness with respect to contributions. The latter is made precise by an axiomatic characterization as in Problem 9.13.
In this chapter a few other cooperative game theory models are discussed: bargaining problems in Sect. 10.1, exchange economies in Sect. 10.2, matching problems in Sect. 10.3, and house exchange in Sect. 10.4.
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© 2008 Springer-Verlag Berlin Heidelberg
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(2008). Cooperative Game Theory Models. In: Game Theory. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69291-1_10
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