THE GOLD-MINE GAME

被引:4
作者
BASTON, VJ [1 ]
BOSTOCK, FA [1 ]
RUCKLE, WH [1 ]
机构
[1] CLEMSON UNIV,DEPT MATH SCI,CLEMSON,SC 29631
关键词
finitely additive strategies; search games; Two-person zero-sum games;
D O I
10.1007/BF00939428
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
The paper considers the following two-person zero-sum game. The minimizing player chooses to hide his gold and a mine in two distinct boxes from an infinite number of boxes labelled 1, 2, 3,.... The maximizing player now chooses to open the boxes in some order, and if he finds the gold before the mine the payoff to him is 1; otherwise, the payoff is zero. The game is solved in the sense of Kindler. © 1990 Plenum Publishing Corporation.
引用
收藏
页码:641 / 650
页数:10
相关论文
共 6 条
[1]  
CLARKE LE, 1975, RANDOM VARIABLES
[2]   GOOD STRATEGIES IN GENERAL GAMES [J].
FENSTAD, JE .
MATHEMATISCHE ZEITSCHRIFT, 1967, 101 (04) :322-&
[3]  
Karlin S, 1959, MATH METHODS THEORY, V2
[4]  
KARLIN S, 1950, ANN MATH STUD, V24, P133
[5]   A GENERAL-SOLUTION CONCEPT FOR 2-PERSON, ZERO-SUM GAMES [J].
KINDLER, J .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1983, 40 (01) :105-119
[6]   SOLUTION OF INFINITE ZERO-SUM 2-PERSON GAMES WITH FINITELY ADDITIVE STRATEGIES [J].
YANOVSKAYA, EB .
THEORY OF PROBILITY AND ITS APPLICATIONS,USSR, 1970, 15 (01) :153-+