Errata for TPZS Games, 3rd Edition, 1/2013

advertisement
Errata for TPZS Games, 3rd Edition, 2003, as of 1/2013
If you note other errors, please notify awashburn@nps.edu
1)
On page 52, 11 lines from the top, change 4.1-1 to 4.2-1.
2)
On page 122, change the solution of problem 4 to:
4. In part a, you should find that f *  1.771 , g*  1.528 *  0.354 . In part b,
since doubling the target value is tactically equivalent to halving the two costs,
the average number of units consumed per target is as in part a. Considering
both classes of target, the total consumptions are therefore
100*(0.250  1.528)  177.8 interceptors and 100(0.750  1.771)  252.1
missiles. Since type 2 targets have value 2 each, the average value captured is
100(0.3  2(.354))  100.8 .
3)
On pages 122-3, change the solution of problem 6 to:
6. Consider the generic target with parameters , , and v. The two costeffectiveness ratios / and / are crucial to finding the saddle point. If
v   /  , player 1 will not attack and of course player 2 will not defend. If
 /   v   /    /  , player 1 attacks, but player 2 does not defend. It is only
when  /    /   v that both players have positive allocations. The first,
second and third cases apply to targets 1, 2 and 3, respectively The solution is
x = (0, .3466, .3054) and y = (0, 0, .1823), obtained by solving equations that
result from equating derivatives to 0.
4)
On page 77, The G in Figure 4.10-2 should be lower case.
5)
On page 61, strategy 2 should be chosen with probability  , rather than 1  
6)
On page 105, change “including r” to “including u”
7)
On page 16, in the definition box, add an asterisk to both x and y in the two
formulas.
8)
On page 52, in the first complete paragraph, change “Theorems 4.1-1,2,and 3”
to “Theorems 4.2-2 and 4.2-3”.
9)
On page 16 in the definition, both inequalities are reversed. Change “≤” to “≥”
and “≥” to “≤”.
10) On page 92 in exercise 16, change “= .2” to “≤ .2” in the definition of A(x,y).
11) In figure 3.9-2 on page 32, replace “3y3/3” with “2y2/3” and “3y3/4” with
“3y3/4”.
12) On page 105 line 6, replace xN with xM.
13) On page 12, sixth line from the bottom, delete “minr” from the definition of
C(r).
14) On page 64, line 8, change “termination” to “continuation” and “0” to “1”.
Download