Maurice Tutor

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    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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    Phoniex University
    Oct-2001 - Nov-2016

Category > Management Posted 29 Mar 2018 My Price 5.00

subgame perfect equilibria

(Removing stones) 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. Use the same technique to find the winner in each subgame perfect equilibrium for n = 4, and, if you can, for an arbitrary value of n.

 

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Maurice Tutor
(5)
Status NEW Posted 29 Mar 2018 01:03 PM My Price 5.00

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