Hyperbolic Discounting: Consider the three-period example of a player with hyperbolic discounting described in Section 8.3.4 with utility In(x) in each of the three periods and with discount factors 0 < 8 < 1 and 0 < B < 1. Solve the optimal choice of player 2, the second-period self, as a function of his budget K2, 8, and B. b. Solve the optimal choice of player 1, the first-period self, as a function of K, 8, and B.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter8: Game Theory
Section: Chapter Questions
Problem 8.10P
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the second image displays the function given in section 8.3.4 as mentioned in the question

Hyperbolic Discounting: Consider the three-period example of a player with
hyperbolic discounting described in Section 8.3.4 with utility In(x) in each of
the three periods and with discount factors 0 < 8 < 1 and 0 < B < 1.
Solve the optimal choice of player 2, the second-period self, as a
function of his budget K2, 8, and B.
b. Solve the optimal choice of player 1, the first-period self, as a function
of K, 8, and B.
Transcribed Image Text:Hyperbolic Discounting: Consider the three-period example of a player with hyperbolic discounting described in Section 8.3.4 with utility In(x) in each of the three periods and with discount factors 0 < 8 < 1 and 0 < B < 1. Solve the optimal choice of player 2, the second-period self, as a function of his budget K2, 8, and B. b. Solve the optimal choice of player 1, the first-period self, as a function of K, 8, and B.
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