ON THE OPTIMALITY OF THE EXPONENTIAL FUNCTIONS FOR SOME MINIMAX PROBLEMS.

Shmuel Gal; Dan Chazan

doi:10.1137/0130032

ON THE OPTIMALITY OF THE EXPONENTIAL FUNCTIONS FOR SOME MINIMAX PROBLEMS.

Shmuel Gal, Dan Chazan

Department of Statistics

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

Abstract

A class of games is considered in which the first player chooses a positive function and the second player chooses a number. It is shown that under certain conditions, the minimax strategy for the first player is an exponential function. The results obtained are applied to several search games.

Original language	English
Pages (from-to)	324-348
Number of pages	25
Journal	SIAM Journal on Applied Mathematics
Volume	30
Issue number	2
DOIs	https://doi.org/10.1137/0130032
State	Published - 1976

ASJC Scopus subject areas

Applied Mathematics

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title = "ON THE OPTIMALITY OF THE EXPONENTIAL FUNCTIONS FOR SOME MINIMAX PROBLEMS.",

abstract = "A class of games is considered in which the first player chooses a positive function and the second player chooses a number. It is shown that under certain conditions, the minimax strategy for the first player is an exponential function. The results obtained are applied to several search games.",

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ON THE OPTIMALITY OF THE EXPONENTIAL FUNCTIONS FOR SOME MINIMAX PROBLEMS.

Abstract

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