Aggregate monotonic stable single-valued solutions for cooperative games

Pedro Calleja (), Carles Rafels and Stef Tijs

International Journal of Game Theory, 2012, vol. 41, issue 4, 899-913

Abstract: This article considers single-valued solutions of transferable utility cooperative games that satisfy core selection and aggregate monotonicity, defined either on the set of all games, G N , or on the set of essential games, E N (those with a non-empty imputation set). The main result is that for an arbitrary set of players, core selection and aggregate monotonicity are compatible with individual rationality, the dummy player property and symmetry for single-valued solutions defined on both G N and E N . This result solves an open question in the literature (see for example Young et al. Water Resour Res 18:463–475, 1982 ). Copyright Springer-Verlag Berlin Heidelberg 2012

Keywords: Cooperative games; Core; Aggregate monotonicity; Individual rationality; Dummy player property; Symmetry; C71 (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (10)

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DOI: 10.1007/s00182-012-0355-5

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