On Proportional Excess for NTU Games
No 2001/02, EUSP Department of Economics Working Paper Series from European University at St. Petersburg, Department of Economics
An axiomatic approach is developed to define the 'proportional excess' on the space of positively generated NTU games. This excess generalizes to NTU games the proportional TU excess v(S)/x(S). Five axioms are proposed, and it is shown that the proportional excess, which possess Kalai's properties except the boundary condition (it equals 1, rather than 0), is the unique excess function satisfying the axioms. The properties of proportional excess and related solutions are studied. In particular, for the proportional (pre)nucleolus a geometric characterization, which modifies the Maschler-Peleg-Shapley geometric characterization of the standard TU nucleolus, is given.
Keywords: cooperative NTU games; excess function; nucleolus; prenucleolus; (Minkowski) gauge function (search for similar items in EconPapers)
JEL-codes: C71 (search for similar items in EconPapers)
Pages: 31 pages
Date: 2001-10-30, Revised 2001-10-30
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Persistent link: https://EconPapers.repec.org/RePEc:eus:wpaper:ec2001_02
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