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A monotonic core solution for convex TU games

J. Arin () and I. Katsev ()
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J. Arin: University of the Basque Country
I. Katsev: St Petersburg Institute for Economics and Mathematics

International Journal of Game Theory, 2016, vol. 45, issue 4, No 11, 1013-1029

Abstract: Abstract We find that the answer to the open question of whether there is a continuous core solution that satisfies coalitional monotonicity in the class of convex games is yes. We prove that the SD-prenucleolus is a continuous core solution that satisfies coalitional monotonicity for convex games, a class of games widely used to model economic situations.

Keywords: Convex games; Prenucleolus; Core; Monotonicity (search for similar items in EconPapers)
JEL-codes: C71 C72 (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s00182-015-0500-z

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