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JOURNALS // Matematicheskaya Teoriya Igr i Ee Prilozheniya // Archive

Mat. Teor. Igr Pril., 2010 Volume 2, Issue 3, Pages 41–78 (Mi mgta41)

Proportional solutions for bargaining games and NTU games

Sergei L. Pechersky

St. Petersburg Institute for Economics and Mathematics of RAS

Abstract: The paper studies the properties of proportional solutions for bargaining games and NTU games based on the proportional excess. The status quo-proportional solution for bargaining games is defind. It's consistency (in Hart–Mas-Collel sense) is proved, and an axiomatic characterization with consistency property is given. A consistent continuatuon of the solution to NTU game is defind, and the uniqueness theorem is proved. Some relations between bargaining and NTU solutions are given.

Keywords: bargaining games, NTU games, proportional excess, status quo-proportional solution, consistency.

UDC: 519.833.52
BBK: 22.1



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