A popular way of sharing a cake between two people is to have one of the two cut the cake and the other chooses the who gets what piece. A. Write down the extensive form representation of this game. B. Solve for the Nash equilibrium strategy equilibrium.

The Tampa Tribune and the St. Petersburg Times compete for readers in the Tampa Bay market for newspapers. Recently, both newspapers considered changing the prices they charge for their Sunday editions. Suppose they considered the following payoff table for making a simultaneous decision to charge either a low price of $0.50 or a high price of $1.00.  Tampa’s profits are shown in regular type.  St. Petersburg’s profits are shown in bold. 6. Is there a Nash Equilibrium in this game?  If so, which cell(s) is/are the Nash?  Is/are the Nash Dominant Strategy Equilibrium?

The game, "the battle of the sexes" (discussed in class) has        pure strategy Nash Equilibria and        mixed strategy Nash Equilibrium (again in numbers).  Of these 3 strategy,        are pareto efficient. true or false?

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