Boris and Angela are negotiating a new trade deal, which resembles a modified centipede game. When it is their turn, each of them decides whether to cooperate (C) or to decline (D). Unfortunately, Angela is not sure how much time Boris has for the negotiations before he needs to leave to talk to Emmanuel. With probability p = 4/5, Boris will stay and insist on making the final proposal (long game, L). With probability 1 − p = 1/5, Boris will have to rush off, so that the game ends after Angela’s move (short game, S). Boris has perfect knowledge of his schedule. The structure and payoffs are represented in the game tree below (Attached picture). (a) Specify the set of possible histories H of the game. Underline terminal histories. (b) Specify the set of possible strategies for Boris and Angela.
Boris and Angela are negotiating a new trade deal, which resembles a modified centipede game. When it is their turn, each of them decides whether to cooperate (C) or to decline (D). Unfortunately, Angela is not sure how much time Boris has for the negotiations before he needs to leave to talk to Emmanuel. With probability p = 4/5, Boris will stay and insist on making the final proposal (long game, L). With probability 1 − p = 1/5, Boris will have to rush off, so that the game ends after Angela’s move (short game, S). Boris has perfect knowledge of his schedule. The structure and payoffs are represented in the game tree below (Attached picture).
(a) Specify the set of possible histories H of the game. Underline terminal histories.
(b) Specify the set of possible strategies for Boris and Angela.
(c) How many subgames does this game have? Indicate all subgames in this game
Step by step
Solved in 3 steps with 1 images
