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Population monotonicity and consistency in convex games: Some logical relations

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Publication:1417450
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DOI10.1007/s001820300141zbMath1055.91002OpenAlexW2068966450MaRDI QIDQ1417450

Anita van Gellekom, Toru Hokari

Publication date: 5 January 2004

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

Full work available at URL: https://doi.org/10.1007/s001820300141


zbMATH Keywords

solutiontransferable utility coalitional (convex) game


Mathematics Subject Classification ID

Cooperative games (91A12) Utility theory for games (91A30)


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Rationality, aggregate monotonicity and consistency in cooperative games: some (im)possibility results ⋮ Hart-Mas-Colell consistency and the core in convex games ⋮ Theory of Principal Partitions Revisited ⋮ Constrained welfare egalitarianism in surplus-sharing problems ⋮ Monotonicity Properties of Interval Solutions and the Dutta–Ray Solution for Convex Interval Games ⋮ Population monotonicity in fair division of multiple indivisible goods ⋮ Axiomatizations of Dutta-Ray's egalitarian solution on the domain of convex games ⋮ Consistency, weak fairness, and the Shapley value ⋮ Submodular optimization views on the random assignment problem



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