crocodile choose the same location, the chance of the crocodile catching the zebra is 90%. If they choose adjacent locations, this chance is 50%, and it is 0 in the other cases, that is, when the chosen locations are non-adjacent. Describe this situation as a zero-sum game, in which the crocodile is player I and his gain is given by the chance of capturing the zebra. write the matrix of game, find game value and optimal strategies..............

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A zebra has four possible locations to cross the river; let's call them A, B, C, and D, arranged from north to south in that order. A crocodile can wait (without being detected) at one of these locations. If the zebra and the crocodile choose the same location, the chance of the crocodile catching the zebra is 90%. If they choose adjacent locations, this chance is 50%, and it is 0 in the other cases, that is, when the chosen locations are non-adjacent. Describe this situation as a zero-sum game, in which the crocodile is player I and his gain is given by the chance of capturing the zebra. write the matrix of game, find game value and optimal strategies..............
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