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

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  • Gerald A. Heuer
  • Ulrike Leopold‐Wildburger

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. We 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. © 1995 John Wiley & Sons, Inc.

Suggested Citation

  • Gerald A. Heuer & Ulrike Leopold‐Wildburger, 1995. "The advantage of deeper pockets in Silverman's game on intervals," Naval Research Logistics (NRL), John Wiley & Sons, vol. 42(1), pages 123-140, February.
    • Handle: RePEc:wly:navres:v:42:y:1995:i:1:p:123-140
    DOI: 10.1002/1520-6750(199502)42:13.0.CO;2-A
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    References listed on IDEAS

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    1. G. A. Heuer, 1984. "A family of games on 1,∞)2 with payoff a function of y/x," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 31(2), pages 229-249, June.
    2. Heuer, G A, 1989. "Reduction of Silverman-Like Games to Games on Bounded Sets," International Journal of Game Theory, Springer;Game Theory Society, vol. 18(1), pages 31-36.
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