Universal Characterization Sets for the Nucleolus in Balanced Games

Tamás Solymosi and Balázs Sziklai

No 1512, CERS-IE WORKING PAPERS from Institute of Economics, Centre for Economic and Regional Studies

Abstract: We provide a new modus operandi for the computation of the nucleolus in cooperative games with transferable utility. Using the concept of dual game we extend the theory of characterization sets. Dually essential and dually saturated coalitions determine both the core and the nucleolus in monotonic games whenever the core is non-empty. We show how these two sets are related with the existing characterization sets. In particular we prove that if the grand coalition is vital then the intersection of essential and dually essential coalitions forms a characterization set itself. We conclude with a sample computation of the nucleolus of bankruptcy games - the shortest of its kind.

Keywords: Cooperative game theory; Nucleolus; Characterization sets (search for similar items in EconPapers)
JEL-codes: C71 (search for similar items in EconPapers)
Pages: 29 pages
Date: 2015-02
New Economics Papers: this item is included in nep-gth and nep-upt
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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