On Proportional Excess for NTU Games

Sergei Pechersky

No 2001/02, EUSP Department of Economics Working Paper Series from European University at St. Petersburg, Department of Economics

Abstract: 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
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://eusp.org/sites/default/files/archive/ec_dep/wp/ec-02_01.pdf (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eus:wpaper:ec2001_02

Access Statistics for this paper

More papers in EUSP Department of Economics Working Paper Series from European University at St. Petersburg, Department of Economics Contact information at EDIRC.
Bibliographic data for series maintained by Mikhail Pakhnin ().