Consider the extensive form game portrayed below. The top number at a terminal node is player 1’s payoff, the middle number is player 2’s payoff, and the bottom number is player 3’s payoff. a. Derive the strategy set for each player. (Note: If you do not want to list all of the strategies, you can provide a general description of a player’s strategy, give an example, and state how many strategies are in the strategy set.) b. Derive all subgame perfect Nash equilibria. c. Derive a Nash equilibrium that is not a SPNE, and explain why it is not a SPNE.
Consider the extensive form game portrayed below. The top number at a terminal node is player 1’s payoff, the middle number is player 2’s payoff, and the bottom number is player 3’s payoff. a. Derive the strategy set for each player. (Note: If you do not want to list all of the strategies, you can provide a general description of a player’s strategy, give an example, and state how many strategies are in the strategy set.) b. Derive all subgame perfect Nash equilibria. c. Derive a Nash equilibrium that is not a SPNE, and explain why it is not a SPNE.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Consider the extensive form game portrayed below. The top number at a
terminal node is player 1’s payoff, the middle number is player 2’s payoff,
and the bottom number is player 3’s payoff.
a. Derive the strategy set for each player. (Note: If you do not want to list
all of the strategies, you can provide a general description of a player’s
strategy, give an example, and state how many strategies are in the
strategy set.)
b. Derive all subgame perfect Nash equilibria. c. Derive a Nash equilibrium that is not a SPNE, and explain why it is
not a SPNE.
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