   Chapter 5.4, Problem 16E ### Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

#### Solutions

Chapter
Section ### Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

# In Exercises 15–20, decide whether the game is strictly determined. If it is, give the players’ optimal pure strategies and the value of the game. [HinT: See Example 4.]                 p               q   a b [ − 1 2 10 − 1 ]

To determine

To calculate: The players’ optimal strategies and value of the game if the game p  qab is strictly determined.

Explanation

Given Information:

The provided payoff matrix is pqab.

Formula used:

The minimax criterion is one that minimizes the maximum damage the opponent can cause.

A saddle point is a payoff v which is simultaneously a row minimum and a column maximum.

The game is strictly determined if a game has a saddle point, the corresponding row and column strategies are optimal and expected value of the game is the payoff v.

Calculation:

Consider the payoff matrix pqab

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