A Yosida-Hewitt decomposition for totally monotone games.

DOI10.1016/j.mathsocsci.2003.10.002zbMath1068.91003OpenAlexW1971037159MaRDI QIDQ1887434

Alain Chateauneuf, Yann Rébillé

Publication date: 26 November 2004

Published in: Mathematical Social Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mathsocsci.2003.10.002

zbMATH Keywords

Yosida-Hewitt decompositionMöbius inversetotally monotone gamesChoquet's integral representation theorem

Mathematics Subject Classification ID

Cooperative games (91A12) Games involving topology, set theory, or logic (91A44)

Related Items (9)

Patience in some non-additive models ⋮ Integral representation of belief measures on compact spaces ⋮ Modularity and monotonicity of games ⋮ A Yosida-Hewitt decomposition for totally monotone set functions on locally compact \(\sigma \)-compact topological spaces ⋮ Some Fubini theorems on product \(\sigma \)-algebras for non-additive measures ⋮ LAWS OF LARGE NUMBERS FOR CONTINUOUS BELIEF MEASURES ON COMPACT SPACES ⋮ Equimeasurable Rearrangements with Capacities ⋮ A Yosida-Hewitt decomposition for minitive set functions ⋮ Countably additive Möbius transforms for belief functions on Polish spaces

Cites Work

• Some characterizations of lower probabilities and other monotone capacities through the use of Möbius inversion
• Theory of capacities
• Myopic Economic Agents
• Decomposition and Representation of Coalitional Games
• Finitely Additive Measures
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