Premium
The advantage of deeper pockets in Silverman's game on intervals
Author(s) -
Heuer Gerald A.,
LeopoldWildburger Ulrike
Publication year - 1995
Publication title -
naval research logistics (nrl)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.665
H-Index - 68
eISSN - 1520-6750
pISSN - 0894-069X
DOI - 10.1002/1520-6750(199502)42:1<123::aid-nav3220420110>3.0.co;2-a
Subject(s) - mathematics , plane (geometry) , mathematical economics , set (abstract data type) , zero (linguistics) , zero sum game , value (mathematics) , measure (data warehouse) , combinatorics , game theory , mathematical optimization , computer science , statistics , geometry , philosophy , linguistics , database , programming language
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.