Microeconomics (2nd Edition) (Pearson Series in Economics)
Microeconomics (2nd Edition) (Pearson Series in Economics)
2nd Edition
ISBN: 9780134492049
Author: Daron Acemoglu, David Laibson, John List
Publisher: PEARSON
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Chapter 18, Problem 4P
To determine

Equilibrium in an ultimatum game where rejection leads to the responder and the proposer receiving $2 and $4, respectively.

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Nicolaus I Bernoulli offers his friend Pierre Rémond de Montmort a game where they need to repeatedly toss a fair ducat until they get a head for the first time. The game stops then, and they count the number n of coin tosses it took to get the desired outcome, and Montmort gets 2^n ducats. Assume that Montmort's utility function is u(w)=w^0.14. How much should Montmort pay to play this game?
Suppose that Betty is facing two options a and b. a gives Betty $4 on Tuesday, while b gives Betty $5 on Wednesday. Betty's utility function over money is given by u(x) = x2. Suppose that Betty is an exponential discounter and she prefers option a to option b on Monday. What is the range for Betty's discount factor? Draw Betty's "time indifference curve" that go through option a and her "time indifference curve" that go through option b on the same graph
Evaluate the following statement. “We shouldn’t generalize from what people do in the ultimatum game because $10 is a trivial amount of money. When larger amounts of money are on the line, people will act differently.”
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