Loading…

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.

Saved in:
Bibliographic Details
Published in:SIAM journal on applied mathematics 1976-03, Vol.30 (2), p.324-348
Main Authors: Gal, Shmuel, Chazan, Dan
Format: Article
Language:English
Subjects:
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
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.
ISSN:0036-1399
1095-712X
DOI:10.1137/0130032