MATH 12 Row and Column play a simple game of cards
A MATHEMATICAL LOOK AT POLITICSA MATHEMATICAL LOOK AT POLITICS
13.10. Row and Column play a simple game of cards. Each player is given two cards: 2~ (i.e., “the 2 of hearts”) and 8| for Row, and 3~ and 5| for Column. To play, the players simultaneously show one card each. Row wins if the players show the same suit (hearts or clubs), whereas Column wins if they show di↵erent suits. The loser has to pay the winner the number of dollars showing on the winner’s card. Set up this card game as a two-person zero-sum game. Find the prudent and counter-prudent strategies for both players, and say whether there is a saddle point. Who wins if both players play their prudent strategies? Who wins if one player plays the counter-prudent strategies against the prudent strategy of the other player?
15.4. Solve the game in Problem 13.10. Which player does this game favor?