Arbeitspapier
Probability measures on product spaces with uniform metrics
For a countable product of complete separable metric spaces with a topology induced by a uniform metric, the set of Borel probability measures coincides with the set of completions of probability measures on the product o-algebra. Whereas the product space with the uniform metric is non-separable, the support of any Bofrel measure is separable, and the topology of weak convergence on the space of Borel measures is metrizable by both the Prohorov metric and the bounded Lipschitz metric.
- Language
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Englisch
- Bibliographic citation
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Series: Preprints of the Max Planck Institute for Research on Collective Goods ; No. 2017/6
- Classification
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Wirtschaft
Mathematical Methods
Noncooperative Games
- Subject
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Borel measures
product spaces with uniform metrics
completions of product o-algebras
universal type space
separability of supports
metrizability of weak convergence
- Event
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Geistige Schöpfung
- (who)
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Hellwig, Martin
- Event
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Veröffentlichung
- (who)
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Max Planck Institute for Research on Collective Goods
- (where)
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Bonn
- (when)
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2017
- Handle
- Last update
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10.03.2025, 11:41 AM CET
Data provider
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Object type
- Arbeitspapier
Associated
- Hellwig, Martin
- Max Planck Institute for Research on Collective Goods
Time of origin
- 2017