Equally distributed correspondences

Sergiu Hart; Elon Kohlberg

doi:10.1016/0304-4068(74)90007-X

Equally distributed correspondences

Sergiu Hart^*
, Elon Kohlberg

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

27 Scopus citations

Abstract

The distribution Dφ{symbol} of a correspondence φ{symbol} is defined, and its connection with the set DL_φ{symbol} of distributions of its integrable selections is explored. The main result is that if φ{symbol}₁ and φ{symbol}₂ are equally distributed, i.e., if Dφ{symbol}₁ = and Dφ{symbol}₂, then DL_φ{symbol}1 and DL_φ{symbol}2 have the same closure in the weak convergence topology.

Original language	English
Pages (from-to)	167-174
Number of pages	8
Journal	Journal of Mathematical Economics
Volume	1
Issue number	2
DOIs	https://doi.org/10.1016/0304-4068(74)90007-X
State	Published - Aug 1974
Externally published	Yes

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title = "Equally distributed correspondences",

abstract = "The distribution Dφ\{symbol\} of a correspondence φ\{symbol\} is defined, and its connection with the set DLφ\{symbol\} of distributions of its integrable selections is explored. The main result is that if φ\{symbol\}1 and φ\{symbol\}2 are equally distributed, i.e., if Dφ\{symbol\}1 = and Dφ\{symbol\}2, then DLφ\{symbol\}1 and DLφ\{symbol\}2 have the same closure in the weak convergence topology.",

author = "Sergiu Hart and Elon Kohlberg",

year = "1974",

month = aug,

doi = "10.1016/0304-4068(74)90007-X",

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AB - The distribution Dφ{symbol} of a correspondence φ{symbol} is defined, and its connection with the set DLφ{symbol} of distributions of its integrable selections is explored. The main result is that if φ{symbol}1 and φ{symbol}2 are equally distributed, i.e., if Dφ{symbol}1 = and Dφ{symbol}2, then DLφ{symbol}1 and DLφ{symbol}2 have the same closure in the weak convergence topology.

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Equally distributed correspondences

Abstract

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