The prenucleolus and the reduced game property: Equal treatment replaces anonymity

DOI10.1007/BF01240055zbMath0806.90131MaRDI QIDQ687991

Gooni Orshan

Publication date: 20 February 1995

Published in: International Journal of Game Theory (Search for Journal in Brave)

zbMATH Keywords

equal treatmentanonymityprenucleolus

Mathematics Subject Classification ID

Cooperative games (91A12)

Related Items (13)

Characterizations of solutions for games with precedence constraints ⋮ The prenucleolus for games with restricted cooperation ⋮ Axiomatizations of symmetrically weighted solutions ⋮ Coincidence of the Shapley value with other solutions satisfying covariance ⋮ TWISTED DUAL GAMES AND THEIR PROPERTIES ⋮ Nonsymmetric variants of the prekernel and the prenucleolus ⋮ Path monotonicity, consistency and axiomatizations of some weighted solutions ⋮ Axiomatic and strategic justifications for the constrained equal benefits rule in the airport problem ⋮ Reduced game and converse consistency ⋮ The positive core of a cooperative game ⋮ Consistency implies equal treatment in TU-games ⋮ Monotonicity and Weighted Prenucleoli: A Characterization Without Consistency ⋮ Axiomatizations of game theoretical solutions for one-output cost sharing problems

Cites Work

• On the reduced game property and its converse
• A characterization, existence proof and dimension bounds for the kernel of a game
• Potential, Value, and Consistency
• The Nucleolus of a Characteristic Function Game

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