On proportional excess for NTU games
AbstractAn 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.
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Bibliographic InfoPaper provided by European University at St. Petersburg, Department of Economics in its series EUSP Deparment of Economics Working Paper Series with number Ec-02/01.
Length: 31 pages
Date of creation: 30 Oct 2001
Date of revision: 30 Oct 2001
cooperative NTU games; excess function; nucleolus; prenucleolus; (Minkowski) gauge function;
Find related papers by JEL classification:
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
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