Considerations on the aggregate monotonicity of the nucleolus and the core-center

DOI10.1007/s00186-020-00733-7zbMath1470.91025OpenAlexW3118264740MaRDI QIDQ2040429

Miguel Ángel Mirás Calvo, Carmen Quinteiro Sandomingo, Estela Sánchez Rodríguez

Publication date: 14 July 2021

Published in: Mathematical Methods of Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00186-020-00733-7

zbMATH Keywords

nucleolusconvex gamescore-centerbankruptcy gamesaggregate monotonicitybalanced games

Mathematics Subject Classification ID

Cooperative games (91A12) (n)-person games, (n>2) (91A06)

Related Items

The average-of-awards rule for claims problems ⋮ Axiomatizations of Dutta-Ray's egalitarian solution on the domain of convex games

Cites Work

• Unnamed Item
• Airport games: the core and its center
• On (non-) monotonicity of cooperative solutions
• A weak monotonicity property of the nucleolus
• Monotonicity of the core-center of the airport game
• Monotonic solutions of cooperative games
• Game theoretic analysis of a bankruptcy problem from the Talmud
• The \({\mathcal B}\)-nucleolus of TU-games
• On the 1-nucleolus
• The nucleolus is not aggregate-monotonic on the domain of convex games
• Core and monotonic allocation methods.
• A natural selection from the core of a TU game: the core-center
• The core cover in relation to the nucleolus and the Weber set
• Analytic solution for the nucleolus of a three-player cooperative game
• Geometric Properties of the Kernel, Nucleolus, and Related Solution Concepts
• Monotonicity implications for the ranking of rules for airport problems
• How to Divide When There Isn't Enough
• The Nucleolus of a Characteristic Function Game

This page was built for publication: Considerations on the aggregate monotonicity of the nucleolus and the core-center