|Table of Contents|

The Optimum Shot Strategy on a Three versus two Duel(PDF)

《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

Issue:
1996年02期
Page:
91-94
Research Field:
Publishing date:

Info

Title:
The Optimum Shot Strategy on a Three versus two Duel
Author(s):
Liu Liwei Yang Fang ①
Schoo l o f Sciences, NU ST, Nanjing 210094
 ¹ Department o f Mathematics, CMU , Nanjing 210009
Keywords:
operat ions r esearch probability stochast ic duel
PACS:
E920.2
DOI:
-
Abstract:
Suppose that the tw o co ntestant s are side A and side B. The tw o sides f ire simultaneously and independent ly . Under the co ndit ion that all fire simultaneo usly at f ix ed intervals, C. J. Ancker Jr. and Trevo r Will iams got the optimum sho t st rategy of a side and the w inning probabilit ies fo r the two sides. T he paper further considers a three-versus- tw o duel model under the same condit ion. First , the A’s w inning pro babilities in the dif ferent shot str ategies ar e obtained. Then, the paper pro ves that the A’s second shot st rategy is bet ter than the other shot st rategy . So, the seco nd shot st rategy is the A’s optimum sho t st rategy and the w inning probability is g ot .

References:

1 Ancker C J Jr , Williams Tr evo r. Some discrete pr ocesses in t he t heo ry of sto chast ic duels. Opns Res, 1965, 13: 209~215

Memo

Memo:
-
Last Update: 2013-04-11