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On the Optimality of the Exponential Functions for Some Minimax Problems
We consider a class of games in which the first player chooses a positive function and the second player chooses a number. We show 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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Published in: | SIAM journal on applied mathematics 1976-03, Vol.30 (2), p.324-348 |
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Main Authors: | , |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
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Summary: | We consider a class of games in which the first player chooses a positive function and the second player chooses a number. We show 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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ISSN: | 0036-1399 1095-712X |
DOI: | 10.1137/0130032 |