The kernel is in the least core for permutation games

Tamás Solymosi

Central European Journal of Operations Research, 2015, vol. 23, issue 4, 795-809

Abstract: Permutation games are totally balanced transferable utility cooperative games arising from certain sequencing and re-assignment optimization problems. It is known that for permutation games the bargaining set and the core coincide, consequently, the kernel is a subset of the core. We prove that for permutation games the kernel is contained in the least core, even if the latter is a lower dimensional subset of the core. By means of a 5-player permutation game we demonstrate that, in sense of the lexicographic center procedure leading to the nucleolus, this inclusion result can not be strengthened. Our 5-player permutation game is also an example (of minimum size) for a game with a non-convex kernel. Copyright Springer-Verlag Berlin Heidelberg 2015

Keywords: Permutation game; Least core; Kernel; Primary 91A12; Secondary 91A40 (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (3)

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Working Paper: The kernel is in the least core for permutation games (2014)
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DOI: 10.1007/s10100-014-0342-y

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