2014/10/14 by Jan Bok, Bok, Jan, Milan Hladík +1 · 1 citation
Computer Science · Economics, Econometrics and Finance · Engineering · Mathematics · #65G99 #91A12 #Advanced Control Systems Optimization #Computer Science and Game Theory (cs.GT) #FOS: Computer and information sciences #FOS: Mathematics #Game Theory and Voting Systems #Optimization and Control (math.OC) #cs.GT #math.OC #msc:65G99 #msc:91A12
paper · pdf · doi:10.48550/arxiv.1410.3877
slightly more appropriate wording about the results of Section 4
openalex publication_date 2014/10/14 · arxiv created 2018/07/25 · arxiv updated 2018/07/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Cooperative interval games are a generalized model of cooperative games in which the worth of every coalition corresponds to a closed interval representing the possible outcomes of its cooperation. Selections are all possible outcomes of the interval game with no additional uncertainty. We introduce new selection-based classes of interval games and prove their characterization theorems and relations to existing classes based on the interval weakly better operator. We show new results regarding the core and imputations and examine a problem of equivalence for two different versions of the core, the main stability solution of cooperative games. Finally, we introduce the definition of strong imputation and strong core as universal solution concepts of interval games.