On the existence of random measure preserving bijections (Q1099278)
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scientific article; zbMATH DE number 4040220
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the existence of random measure preserving bijections |
scientific article; zbMATH DE number 4040220 |
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On the existence of random measure preserving bijections (English)
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1986
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This paper establishes the existence of an invariant probability measure on the set of measure-preserving bijections of the unit interval. In fact, the measure may be further restricted to be a Baire measure. This result is compared with Aumann's [\textit{R. J. Aumann}, Proc. 5th Berkeley Sympos. math. Statist. Probab., Univ. Calif. 1965/66, 2, Part 2, 321-326 (1967; Zbl 0214.156)] and Aumann and Shapley's [\textit{R. J. Aumann} and \textit{L. S. Shapley}, Values of non-atomic games (1974; Zbl 0311.90084)] impossibility theorems.
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economic application
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measure-preserving bijections
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Baire measure
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0.7229270935058594
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0.7214781641960144
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0.7128243446350098
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