0467365 20240103213153.520161215235959.9 84997171421 000413759000001 10.1007/s00182-016-0557-3 The Intermediate Set and Limiting Superdi erential for Coalition Games: Between the Core and the Weber Set 28 s. P cav_un_epca*02510070020-7276International Journal of Game Theory464 (2017)891-918Springer coalition game limiting superdi erential intermediate set core Weber set cav_un_auth*0309054 Adam Lukáš Matematická teorie rozhodování Department of Decision Making Theory MTR MTR UTIA-B Department of Decision Making Theory CZ Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0015063 Kroupa T. CZ http://library.utia.cas.cz/separaty/2016/MTR/adam-0467365.pdf cav_un_auth*0321507 GA15-00735S GA ČR We introduce the intermediate set as an interpolating solution concept between the core and the Weber set of a coalitional game. The new solution is de ned as the limiting superdi erential of the Lov asz extension and thus it completes the hierarchy of variational objects used to represent the core (Fr echet superdi erential) and the Weber set (Clarke superdi erential). It is shown that the intermediate set is a non-convex solution containing the Pareto optimal payo vectors that depend on some chain of coalitions and marginal coalitional contributions with respect to the chain. A detailed comparison between the intermediate set and other set-valued solutions is provided. We compute the exact form of intermediate set for all games and provide its simpli ed characterization for the simple games and the glove game. BA 10000 10100 10103 2018 2 RVO:67985556 http://hdl.handle.net/11104/0266441 S 2 Article Economics|Mathematics Interdisciplinary Applications|Social Sciences Mathematical Methods|Statistics Probability 3+4 Article Economics|Mathematics Interdisciplinary Applications|Social Sciences Mathematical Methods|Statistics Probability 3+4 Article Economics|Mathematics Interdisciplinary Applications|Social Sciences Mathematical Methods|Statistics Probability MATHEMATICS.INTERDISCIPLINARYAPPLICATIONS|SOCIALSCIENCES.MATHEMATICALMETHODS|STATISTICS&PROBABILITY|ECONOMICS 0.635 0.115 20.5 0.00206 0.62 1246 0.564 0.490 52 Q4 43.007 10.5 Q3 Q2 0.37 Q3 15.439 2017 84997171421 SCOPUS PUBMED 000413759000001 WOS cav_un_epca*0251007 International Journal of Game Theory 0020-7276 1432-1270 Roč. 46 č. 4 2017 891 918 Springer