The least core, kernel and bargaining sets of large games

نویسندگان

Ezra Einy

Dov Monderer

Diego Moreno

چکیده

We study the least core, the kernel and bargaining sets of coalitional games with a countable set of players. We show that the least core of a continuous superadditive game with a countable set of players is a nonempty (norm-compact) subset of the space of all countably additive measures. Then we show that in such games the intersection of the prekernel and the least core is non-empty. Finally, we show that the Aumann-Maschler and the Mas-Colell bargaining sets contain the set of all countably additive payo measures in the prekernel.

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