Consider the following bargaining problem: Two siblings Naa and Nii have to have Gh20 million they inherited from their parents between them. Naa gets to make an initial offer. Nii then gets to respond by either accepting Naa's initial offer or offering a counter offer. Finally, Naa can respond by either accepting Nii's offer or making a final offer. If Nii does not accept Naa's final offer both Nii and Naa get nothing. Nii discounts the future at 10% (i.e., future earnings are with 10% less than current earnings) while Naa discounts the future at 20%. Calculate the Nash equilibrium of this bargaining problem.

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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Consider the following bargaining problem: Two siblings Naa and Nii have to have Gh20 million
they inherited from their parents between them. Naa gets to make an initial offer. Nii then gets to
respond by either accepting Naa's initial offer or offering a counter offer. Finally, Naa can respond
by either accepting Nii's offer or making a final offer. If Nii does not accept Naa's final offer both
Nii and Naa get nothing. Nii discounts the future at 10% (i.e., future earnings are with 10% less
than current earnings) while Naa discounts the future at 20%. Calculate the Nash equilibrium of
this bargaining problem.
Transcribed Image Text:Consider the following bargaining problem: Two siblings Naa and Nii have to have Gh20 million they inherited from their parents between them. Naa gets to make an initial offer. Nii then gets to respond by either accepting Naa's initial offer or offering a counter offer. Finally, Naa can respond by either accepting Nii's offer or making a final offer. If Nii does not accept Naa's final offer both Nii and Naa get nothing. Nii discounts the future at 10% (i.e., future earnings are with 10% less than current earnings) while Naa discounts the future at 20%. Calculate the Nash equilibrium of this bargaining problem.
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