Optimal strategy in a dice game

Citation
J. Haigh et M. Roters, Optimal strategy in a dice game, J APPL PROB, 37(4), 2000, pp. 1110-1116
Citations number
2
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF APPLIED PROBABILITY
ISSN journal
00219002 → ACNP
Volume
37
Issue
4
Year of publication
2000
Pages
1110 - 1116
Database
ISI
SICI code
0021-9002(200012)37:4<1110:OSIADG>2.0.ZU;2-T
Abstract
Computer simulations had suggested that the strategy that maximises the sco re on each turn in the dice game described by Roters (1998) may not be the optimal way to reach a given target in the shortest time. We give an analyt ical treatment, backed by numerical calculations, that finds the optimal st rategy to reach such a target.