Rosa and Ernesto are going to split $10. They have agreed to the following rules. Rosa first divides the money into two piles, $x in one pile and $10-x in the other pile, where x=0,1,2,3,4, or 5. Ernesto observes Rosa's division and chooses which one of the two piles he wwill get: Rosa gets the remaining

Exploring Economics
8th Edition
ISBN:9781544336329
Author:Robert L. Sexton
Publisher:Robert L. Sexton
Chapter15: Oligopoly And Strategic Behavior
Section: Chapter Questions
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Rosa and Ernesto are going to split $10. They have
agreed to the following rules. Rosa first divides the
money into two piles, $x in one pile and $10-x in
the other pile, where x=0,1,2,3,4, or 5. Ernesto
observes Rosa's division and chooses which one of
the two piles he will get; Rosa gets the remaining
pile.
a. Model this situation as an extensive form game
and draw a game tree to represent the extensive
form game.
b. Use your game tree in part (a) to find all the
backward induction equilibrium (or equilibria) of
the extensive game.
c.How many strategies does Rosa have?
d. How many strategies does Ernesto have?
Transcribed Image Text:Rosa and Ernesto are going to split $10. They have agreed to the following rules. Rosa first divides the money into two piles, $x in one pile and $10-x in the other pile, where x=0,1,2,3,4, or 5. Ernesto observes Rosa's division and chooses which one of the two piles he will get; Rosa gets the remaining pile. a. Model this situation as an extensive form game and draw a game tree to represent the extensive form game. b. Use your game tree in part (a) to find all the backward induction equilibrium (or equilibria) of the extensive game. c.How many strategies does Rosa have? d. How many strategies does Ernesto have?
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