4. Ana and Kate are playing the following game. Each one of them chooses a number...
4. Ana and Kate are playing the following game. Each one of them chooses a number {1,2,3}. The one who has the highest number wins $10. If they choose the same number, they get $5 each. Represent the game if Ana chooses first and Kate second, find the SPNE of this game. Represent the game if they choose simultaneously and find the NE. Is there any difference?
Homework Answers
In this game, we are required to find the NE (Nash Equilibrium) and SPNE (Sub game perfect nash equilibrium). Nash Equilibrium is found by best-response analysis and SPNE by backward induction.There is no difference between the NE and SPNE in this game.
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