Countably additive measures in cores of games

DOI10.1016/0022-247X(69)90044-4zbMath0181.46902OpenAlexW2014476858MaRDI QIDQ2535163

Yakar Kannai

Publication date: 1969

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(69)90044-4

zbMATH Keywords

operations research

Related Items (34)

Noncooperative general exchange with a continuum of traders: Two models ⋮ A Mazur-Orlicz type theorem for submodular set functions ⋮ Values and cores of fuzzy games with infinitely many players ⋮ On regular extensions of contents and measures ⋮ Stability of the core mapping in games with a countable set of players ⋮ A game-theoretic equivalence to the Hahn-Banach theorem ⋮ Ideals of null sets of set functions ⋮ Large newsvendor games ⋮ Some recent results inn-person game theory ⋮ Systems of convex inequalities and their applications ⋮ Algebraic duality theorems for infinite LP problems ⋮ On \(\varepsilon\)-cores of balanced games ⋮ Balanced capacities ⋮ On balanced games with infinitely many players: revisiting Schmeidler's result ⋮ A new class of convex games on \(\sigma\)-algebras and the optimal partitioning of measurable spaces ⋮ Some results on the weak core of a non-side-payment game with infinitely many players ⋮ Voluntary formation of communities for the provision of public projects. ⋮ The sigma-core of a cooperative game ⋮ Exact capacities and star-shaped distorted probabilities ⋮ Partial probabilistic information ⋮ Convex games and extreme points ⋮ Fan's theorem concerning systems of convex inequalities and its applications ⋮ Some theorems on the core of a non-sidepayment game with a measure space of players ⋮ On the formation of coalitions in infinite player games ⋮ On the independence of core-equivalence results from Zermelo-Fraenkel set theory ⋮ Other determinental conditions for concavity and quasi-concavity ⋮ The sigma-core of convex games and the problem of measure extension ⋮ Some properties of convex set functions ⋮ Cores of exact games. I ⋮ The core of the inductive limit of a direct system of economies with a communication structure ⋮ The epsilon core of a large replica game ⋮ Submodular functions and rooted trees ⋮ On the existence of a probability measure compatible with a total preorder on a Boolean algebra ⋮ The problem of fair division for countably many participants

Cites Work

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• Markets with a Continuum of Traders
• Existence of Competitive Equilibria in Markets with a Continuum of Traders
• The Core of an N Person Game
• Finitely Additive Measures
• Banach limits and the Čech compactification of a countable discrete set

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