| bibtype |
K -
Conference Paper (Czech conference)
|
| ARLID |
0510321 |
| utime |
20240103222822.2 |
| mtime |
20191104235959.9 |
| title
(primary) (eng) |
Theory of SSB Representation of Preferences Revised |
| specification |
| page_count |
5 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0509112 |
| ISBN |
978-80-7378-400-3 |
| title
|
Proceedings of the 22nd Czech-Japan Seminar on Data Analysis and Decision Making (CJS’19) |
| page_num |
145-149 |
| publisher |
| place |
Praha |
| name |
MatfyzPress |
| year |
2019 |
|
| editor |
| name1 |
Inuiguchi |
| name2 |
Masahiro |
|
| editor |
| name1 |
Jiroušek |
| name2 |
Radim |
|
| editor |
| name1 |
Kratochvíl |
| name2 |
Václav |
|
|
| keyword |
probability measures |
| keyword |
inductive linear topology |
| keyword |
topological vector space |
| author
(primary) |
| ARLID |
cav_un_auth*0234872 |
| full_dept |
Department of Decision Making Theory |
| share |
100 |
| name1 |
Pištěk |
| name2 |
Miroslav |
| institution |
UTIA-B |
| full_dept (cz) |
Matematická teorie rozhodování |
| full_dept (eng) |
Department of Decision Making Theory |
| department (cz) |
MTR |
| department (eng) |
MTR |
| country |
CZ |
| garant |
K |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| source |
|
| cas_special |
| project |
| ARLID |
cav_un_auth*0348851 |
| project_id |
GA17-08182S |
| agency |
GA ČR |
|
| abstract
(eng) |
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 a topological basis, thus weakening\nthe convexity assumption. Such a unifying approach to SSB representation permits also to fully discuss the relationship of topological and algebraic axioms of continuity, and leads to a stronger existence result for a maximal element. By applying this theory to probability measures we show the existence of a maximal preferred measure for an infinite set of pure outcomes, thus generalizing all available existence theorems in this context. |
| action |
| ARLID |
cav_un_auth*0381903 |
| name |
Czech-Japan Seminar on Data Analysis and Decision Making 2019 (CJS’19) /22./ |
| dates |
20190925 |
| mrcbC20-s |
20190928 |
| place |
Nový Světlov |
| country |
CZ |
|
| RIV |
BA |
| FORD0 |
10000 |
| FORD1 |
10100 |
| FORD2 |
10101 |
| reportyear |
2020 |
| num_of_auth |
1 |
| presentation_type |
PR |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0302533 |
| confidential |
S |
| arlyear |
2019 |
| mrcbU14 |
SCOPUS |
| mrcbU24 |
PUBMED |
| mrcbU34 |
WOS |
| mrcbU63 |
cav_un_epca*0509112 Proceedings of the 22nd Czech-Japan Seminar on Data Analysis and Decision Making (CJS’19) MatfyzPress 2019 Praha 145 149 978-80-7378-400-3 |
| mrcbU67 |
340 Inuiguchi Masahiro |
| mrcbU67 |
340 Jiroušek Radim |
| mrcbU67 |
340 Kratochvíl Václav |
|