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Matematicheskaya Teoriya Igr i Ee Prilozheniya, 2010, Volume 2, Issue 3, Pages 41–78
(Mi mgta41)
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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.
Citation:
Sergei L. Pechersky, “Proportional solutions for bargaining games and NTU games”, Mat. Teor. Igr Pril., 2:3 (2010), 41–78
Linking options:
https://www.mathnet.ru/eng/mgta41 https://www.mathnet.ru/eng/mgta/v2/i3/p41
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