Business, 18.10.2019 18:20 jaelynnm

Two people take turns removing stones from a pile of n stones. each person may, on each of her turns, remove either one stone or two stones. the person who takes the last stone is the winner; she gets $1 from her opponent. find the subgame perfect equilibria of the games that model this situation for n = 1 and n = 2. find the winner in each subgame perfect equilibrium for n = 3, using the fact that the subgame following player 1’s removal of one stone is the game for n = 2 in which player 2 is the first-mover, and the subgame following player 1’s removal of two stones is the game for n = 1 in which player 2 is the first mover?

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Two people take turns removing stones from a pile of n stones. each person may, on each of her turns...

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