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The core of the inductive limit of a direct system of economies with a communication structure. (English) Zbl 0951.91010
This paper studies the core of a co-operative NTU game with a communication structure. The communication structure means that only coalitions in which members can communicate with each other are considered. This paper uses the inductive limit to derive properties for games with an infinite number of players from finite games. This paper also offers a new definition of balancedness for games with an infinite number of players. Under this definition an infinite balanced game has a non-empty core.

MSC:
91A12 Cooperative games
91A13 Games with infinitely many players (MSC2010)
91B50 General equilibrium theory
46M40 Inductive and projective limits in functional analysis
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