Macroeconomics Exam Review 3

# Macroeconomics Exam Review 3 - Solutions for Foundations of...

This preview shows page 1. Sign up to view the full content.

1.68 The 7 unanimity games for the player set 𝑁 = { 1 , 2 , 3 } are 𝑢 { 1 } ( 𝑆 ) = { 1 S = { 1 } , { 1,2 } , { 1,3 } , N 0 otherwise 𝑢 { 2 } ( 𝑆 ) = { 1 S = { 2 } , { 1,2 } , { 2,3 } , N 0 otherwise 𝑢 { 3 } ( 𝑆 ) = { 1 S = { 3 } , { 1,3 } , { 2,3 } , N 0 otherwise 𝑢 { 1 , 2 } ( 𝑆 ) = { 1 S = { 1,2 } , N 0 otherwise 𝑢 { 1 , 3 } ( 𝑆 ) = { 1 S = { 1,3 } , N 0 otherwise 𝑢 { 2 , 3 } ( 𝑆 ) = { 1 S = { 2,3 } , N 0 otherwise 𝑢 𝑁 ( 𝑆 ) = { 1 S = N 0 otherwise 1.69 Firstly, consider a simple game which is a unanimity game with essential coalition 𝑇 and let 𝑥 be an outcome in which 𝑥 𝑖 0 for every 𝑖 𝑇 𝑥 𝑖 = 0 for every 𝑖 / 𝑇 and 𝑖 𝑁 𝑥 𝑖 = 1 We claim that 𝑥 core. Winning coalitions If 𝑆 is winning coalition, then 𝑤 ( 𝑆 ) = 1. Furthermore, if it is a winning coalition, it must contain
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern