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arXiv · 2211.05843

The $\kappa$-core and the $\kappa$-balancedness of TU games

David Bartl·Miklós Pintér
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Abstract

We consider transferable utility cooperative games with infinitely many players. In particular, we generalize the notions of core and balancedness, and also the Bondareva-Shapley Theorem for infinite TU-games with and without restricted cooperation, to the cases where the core consists of $\kappa$-additive set functions. Our generalized Bondareva-Shapley Theorem extends previous results by Bondareva (1963), Shapley (1967), Schmeidler (1967), Faigle (1989), Kannai (1969), Kannai (1992), Pinter(2011) and Bartl and Pint\'er (2022).

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David Bartl, Miklós Pintér. 2022-11-10. The $\kappa$-core and the $\kappa$-balancedness of TU games. https://arxiv.org/abs/2211.05843

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