Alice (A) and Bob (B) want to share a pizza of size 1. Suppose Alice has utility uA(x) = √x from x amount of pizza and Bob has utility uB(x) = √3 x from x amount of pizza. If they don’t find an agreement, Alice receives half of the pizza and Bob receives nothing. Calculate the Nash Bargaining solution for the problem! c) Who receives a large piece of the pizza? Explain why that is the case

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 26EQ
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Alice (A) and Bob (B) want to share a pizza of size 1. Suppose Alice
has utility uA(x) = √x from x amount of pizza and Bob has utility
uB(x) = √3 x from x amount of pizza. If they don’t find an agreement,
Alice receives half of the pizza and Bob receives nothing.
Calculate the Nash Bargaining solution for the problem!
c) Who receives a large piece of the pizza? Explain why that is the case

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