THE DUTTA-RAY SOLUTION ON THE CLASS OF CONVEX GAMES: A GENERALIZATION AND MONOTONICITY PROPERTIES

DOI10.1142/S0219198905000624zbMath1151.91343OpenAlexW2047310588MaRDI QIDQ5716142

Bezalel Peleg, Jens Leth Hougaard, Lars Peter Østerdal

Publication date: 9 January 2006

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

Full work available at URL: https://doi.org/10.1142/s0219198905000624

zbMATH Keywords

population monotonicityconvex gamescore solutionscoalitional monotonicitygeneralized Lorenz-maxima

Mathematics Subject Classification ID

Cooperative games (91A12)

Related Items (6)

Monotonicity of social welfare optima ⋮ Aggregate monotonic stable single-valued solutions for cooperative games ⋮ Merging and splitting in cooperative games: some (im)possibility results ⋮ Optimal coalition formation and surplus distribution: two sides of one coin ⋮ Axiomatizations of Dutta-Ray's egalitarian solution on the domain of convex games ⋮ Monotonicity and Solidarity Axioms in Economics and Game Theory

Cites Work

• The egalitarian solution and reduced game properties in convex games
• Population monotonic allocation schemes for cooperative games with transferable utility
• On the set of Lorenz-maximal imputations in the core of a balanced game
• Population monotonic solutions on convex games
• The nucleolus is not aggregate-monotonic on the domain of convex games
• Core and monotonic allocation methods.
• Cores of convex games
• Monotone-path Dutta-Ray solutions on convex games
• Monotonicity of the core and value in dynamic cooperative games
• Incentives, Decentralized Control, the Assignment of Joint Costs and Internal Pricing
• A Concept of Egalitarianism Under Participation Constraints

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