Consider the following centipede game. At Player 1's first node, he chooses between down (D), which immediately ends the game with payoffs (1,1), or across (A). If A, then Player 2 chooses between down (d), which ends the game with payoffs (0,4), and across (a). If a, then Player 1 moves, choosing between going across (α) or down (δ). If he goes across, payoffs are (2,5); if he goes down, payoffs are (3,3). The game that we have constructed is as follows: Which of the following statements is FALSE? If Player 1 acts rationally at the last node, he will choose down Player 2, expecting that Player 1 will act rationally at the last node, will play down The equilibrium outcome is (3,3) Assuming both players play rationally, the game ends at the first node

Select the correct statement about the centipede game in our lecture. Group of answer choicesThe payoff from the strategy "stop at every turn" gives you higher payoff than the strategy "continue at every turn" regardless of how your opponent plays.The payoff from the strategy "stop at every turn" gives you lower payoff than the strategy "continue at every turn" regardless of how your opponent plays.The payoff from the strategy "stop at every turn" may or may not give you higher payoff than the strategy "continue at every turn," depending on how your opponent plays.

Select the correct statement about the centipede game in our lecture. Group of answer choicesThe SPE strategy is "continue at every turn" for both players, and our experiment supported the SPE. The SPE strategy is "stop at every turn" for both player, and our experiment did not support the SPE.The SPE strategy is "stop at every turn" for both player, and our experiment supported the SPE.The SPE strategy is "continue at every turn" for both players, and our experiment did not support the SPE.

Consider the following sequential game. Wally first chooses L or H. Having observed Wally’s choice, Elizabeth chooses between A and F. The payoffs are as follows. If Wally chose L and Elizabeth chose A, the payoffs are 30 to Wally and 20 to Elizabeth. If Wally chose L and Elizabeth F, the payoffs are 40 to Wally and 10 and to Elizabeth. If Wally decides to opt for H and Elizabeth A, the payoffs are 10 and 2 to Wally and Elizabeth, respectively. Finally, if Wally opts for H and Elizabeth F, the payoffs are 35 toWally and 5 to Elizabeth. What is the outcome in the subgame perfect equilibrium of this game?Group of answer choices(L,F)(H,A)(H,F) and (L,F)(L,A) and (H,F)(H,F)

Consider this following sequential game played by two investors. Cat chooses either to go long (L) of short (S). Cat’s choice is observed by rival Cutter. Cutter then can choose to either play Hard (H) or Diverse (D). The payoffs are as follows. Following (L, H) the payoffs are (300, 500) to Cat and Cutter, respectively. If the actions are L then D, the payoffs are (0, 0). If the actions are S and then H, the payoffs are (0, 0). Finally, if the actions are (S, D) the payoffs are (300, 500). In the credible (subgame perfect) equilibrium we observe:Group of answer choicesS then DL then HS then HS then LS then D, or L then H.

Consider Google and Safari in a simultaneous-move game. Google can choose to play T or B. Safari can opt for an action of either L or R. The payoffs are as follows. If Google opts for T and Safari L, the payoffs are (3, 6) to Google and Safari, respectively. If the actions are B and L the payoffs are (5, 7). If the actions are (T, R) the payoffs are (2, 3). Finally, if Google opts for B and Safari R the payoffs are 1 to Google and 8 to Safari respectively. Which of the following statements are true?Group of answer choicesThere is a dominant strategy of (T, R)Google has a dominant strategySafari has a dominant strategyThere is no dominant strategy equilibriumThe dominant strategy equilibrium is (T, L)