Arbeitspapier
A Compact Topology for Sigma-Algebra Convergence
We propose a sequential topology on the collection of sub-sigma-algebras included in a separable probability space. We prove compactness of the conditional expectations with respect to L2-bounded random variables along sequences of sub-sigma-algebras. The varying index of measurability is captured by a bundle space construction. As a consequence, we establish the compactness of the space of sub-sigma-algebras. The proposed topology preserves independence and is compatible with join and meet operations. Finally, a new application to information economics is discussed.
- Sprache
-
Englisch
- Erschienen in
-
Series: Discussion Paper ; No. 74
- Klassifikation
-
Wirtschaft
- Thema
-
convergence of sigma-algebras
compactness of sub-sigma-algebras
conditional expectation
fiber bundle
information economics
- Ereignis
-
Geistige Schöpfung
- (wer)
-
Beissner, Patrick
Tölle, Jonas
- Ereignis
-
Veröffentlichung
- (wer)
-
Ludwig-Maximilians-Universität München und Humboldt-Universität zu Berlin, Collaborative Research Center Transregio 190 - Rationality and Competition
- (wo)
-
München und Berlin
- (wann)
-
2018
- Handle
- Letzte Aktualisierung
-
10.03.2025, 11:44 MEZ
Datenpartner
Dieses Objekt wird bereitgestellt von:
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Objekttyp
- Arbeitspapier
Beteiligte
- Beissner, Patrick
- Tölle, Jonas
- Ludwig-Maximilians-Universität München und Humboldt-Universität zu Berlin, Collaborative Research Center Transregio 190 - Rationality and Competition
Entstanden
- 2018
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