# (Optional) Exercises S4 and U4 demonstrate that in zero-sum games such as the Evert-Navratilova…

(Optional) Exercises S4 and U4 demonstrate that in

zero-sum games such as the Evert-Navratilova tennis rivalry, changes in a

player’s payoffs can sometimes lead to unexpected or unintuitive changes to her

equilibrium mixture. But what happens to the expected value of the game?

Consider the following general form of a two-player zero-sum game:

Don't use plagiarized sources. Get Your Custom Essay on

(Optional) Exercises S4 and U4 demonstrate that in zero-sum games such as the Evert-Navratilova…

For as low as $7/Page

Assume that there is no Nash equilibrium in pure

strategies, and assume that a, b, c, and d are all greater than or equal to 0.

Can an increase in any one of a, b, c, or d lead to a lower expected value of

the game for Rowena? If not, prove why not. If so, provide an example.