The advantage of deeper pockets in Silverman’s game on intervals

The advantage of deeper pockets in Silverman’s game on intervals

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Article ID: iaor19951456
Country: United States
Volume: 42
Issue: 1
Start Page Number: 123
End Page Number: 140
Publication Date: Feb 1995
Journal: Naval Research Logistics
Authors: ,
Abstract:

Silverman’s game on (1,B)×(1,B) was analyzed by R.J. Evans, who showed that optimal strategies exist (and found them) only on a set of measure zero in the parameter plane. The authors examine the corresponding game on (1,B)×(1,D) with D>B, and show that optimal strategies exist in about half the parameter plane. Optimal strategies and game value are obtained explicitly.

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