1. (True or False) A strictly determined game can have more than one saddle point.
2. (True or False) In a strictly determined game, the value of each saddle point is the same as the value of the game.
3. Rosa's Pizzeria and Carlo's Pizzeria compete for customers. They are each considering either lowering their prices or improving their décor in order to attract more customers. Market research indicates that the results of employing these strategies are as shown in the following matrix.

The entries in the matrix represent the number of pizzas sold each day by Rosa's Pizzeria at the expense of Carlo's Pizzeria. For instance, if Rosa's Pizzeria reduces the price of a pizza and Carlo's Pizzeria improves their décor, Rosa's Pizzeria will sell 30 more pizzas per day and Carlo's Pizzeria will sell 30 fewer pizzas per day. Determine each pizzeria's optimal strategy. Is this game strictly determined?
4. A small town has two movie theaters, the Roxie and the Cinemart, that compete for customers. They are each considering specializing in either dramas or comedies in order to attract more customers. Market research indicates that the results of specializing in these genres are as shown in the following matrix.

For instance, if they both specialize in comedies, the Roxie will sell 400 more tickets per week and the Cinemart will sell 400 fewer tickets per week. Determine each movie theater's optimal strategy. Is this game strictly determined?

Transcribed Image Text:

Car lo's Price Décor Price 50 30 Price 50 Rosa's Décor [ -25 15 Cinemart Comedy Drama -300 400 Comedy Roxie Drama [-150 250]