1. The Army is conducting war games in Europe One simulated encounter is between

Question

1. The Army is conducting war games in Europe One simulated encounter is between the Blue and Red Divisions. The Blue Division is on the offensive; the Red Division holds a defensive position. The results of the war game are measured in terms of troop losses The following payoff table shows strategy for both divisions and the number of troop losses the Red Division can expect to suffer. Division troop losses for each battle strategy available to each division. Determine the optimal Red Division Strategies Blne Division Strategies 1,800 2,300 2,000 900 1,700 1,600 2

Explanation / Answer

This is a two person zero sum game where red division is trying to minimize its losses.

Here, strategy A can be eliminated from the game as Strategy C for Red Division dominates both strategy A as its payoff for both strategies of Blue division is better than that of A. (1700 is less than 1800 and 1600 is less than 2300).

The payoff table after eliminating strategy A can be shown as:

Now, between strategy 1 and 2, Strategy 1 dominates strategy 2(900 is less than 2000 and 1600 is less than 1700). So, Blue Division would choose strategy 1 as its optimal strategy.
Hence, the optimal strategy for Red division is Strategy C and the expected troop losses the Red division can expect to suffer are 1700.

B C 1 2000 1700 2 900 1600

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