0505534 20240103222131.920190617235959.9 85065471395 000473249600009 10.1016/j.jmateco.2019.04.006 5 s. P cav_un_epca*02570190304-4068831 (2019)84-88Elsevier SSB representation Inductive linear topology Non-transitive preferences cav_un_auth*0234872 Department of Decision Making Theory 100 Pištěk Miroslav UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR CZ K Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2019/MTR/pistek-0505534.pdf https://www.sciencedirect.com/science/article/pii/S0304406819300473 cav_un_auth*0348851 GA17-08182S GA ČR A continuous skew-symmetric bilinear (SSB) representation of preferences has recently been proposed in a topological vector space, assuming a weaker notion of convexity of preferences than in the classical (algebraic) case. Equipping a linear vector space with the so-called inductive linear topology, we derive the algebraic SSB representation on such topological basis, thus weakening the convexity assumption. Such a unifying approach to SSB representation leads, moreover, to a stronger existence result for a maximal element and opens a way for a non-probabilistic interpretation of the algebraic theory. Note finally that our method of using powerful topological techniques to derive purely algebraic result may be of general interest. WOS BA 10000 10100 10102 2020 1 RVO:67985556 http://hdl.handle.net/11104/0297069 S 3+4 Article Chemistry Multidisciplinary C MATHEMATICS.INTERDISCIPLINARYAPPLICATIONS|SOCIALSCIENCES.MATHEMATICALMETHODS|ECONOMICS 0.718 0.05 17.1 0.0036 0.613 1429 48 0.944 31.47 0.8 191 Q1 0.639 80 Q4 44.3 17.9 Q3 Q4 0.37 Q3 20.588 2019 85065471395 SCOPUS PUBMED 000473249600009 WOS cav_un_epca*0257019 Journal of Mathematical Economics 0304-4068 1873-1538 Roč. 83 č. 1 2019 84 88 Elsevier