2022/11/10 by David Bartl, Bartl, David, Miklós Pintér +1
Decision Sciences · Economics, Econometrics and Finance · Mathematics · #Advanced Topology and Set Theory #FOS: Economics and business #FOS: Mathematics #Functional Analysis (math.FA) #Game Theory and Applications #Game Theory and Voting Systems #Optimization and Control (math.OC) #Theoretical Economics (econ.TH)
paper · pdf · doi:10.48550/arxiv.2211.05843
openalex publication_date 2022/11/10 · openalex created_date 2022/11/21 · openalex updated_date 2026/07/28
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 κ-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 Pintér (2022).