EXERCISE 179.1 (Subgame perfect equilibria of ticktacktoe) Ticktacktoe has sub- game perfect equilibria in which the first player puts her first X in a corner. The second player's move is the same in all these equilibria. What is it?

10. Game theory

E1

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3. Find the saddle point, if it exists, for the following game. (b) Solve the following game by using the principle of dominance and find the probabilities of strategies for each player and the value of the game. Player B Player A II III IV V 3 4 4 II 2 4 III 4 4 IV 4 4 20 2420 8760

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3. At zero distance sprinted, your recovery time is zero. As you sprint further (x), your recovery time (y) increases at an increasing rate. Draw this relationship.