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School: Minnesota
Ariel Zetlin-Jones ECON 8102 Solutions to Problem Set 5 December 16, 2007 Question 1 Claim 1. Suppose ui is strictly differentiably quasi-concave and differentiably strictly monotone. Then, the bordered hessian matrix: D= is regular. Proof. Recall t
School: Minnesota
Ariel Zetlin-Jones ECON 8102 Solutions to Problem Set 1 November 8, 2007 Question 1 My convention will be to let the first dimension of consumption to be left shoes, and the second to be right shoes. We also assume that there is no free disposal tec
School: Minnesota
Ariel Zetlin-Jones ECON 8102 Solutions to Problem Set 2 November 20, 2007 Question 1 Part A Claim 1. Assume that each ui is concave and (ui ()iI satisfy the following property: for any strictly positive feasible allocation (ie. x A, x > 0) and any
School: Minnesota
Ariel Zetlin-Jones ECON 8102 Solutions to Problem Set 3 December 5, 2007 Question 1 Part A: u Concave implies u pseudo-concave Claim 1. Let X Rn be convex and u : X R be a dierentiable and concave function. If u(x ) > u(x), then u (x)(x x) > 0. P
School: Minnesota
Ariel Zetlin-Jones ECON 8103 Note on Perfect Equlibria and Weakly Dominated Strategies February 7, 2008 In what follows, I state a definition of a weakly dominated action and then prove that in any perfect equlibrium, no weakly dominated actions can
School: Minnesota
Ariel Zetlin-Jones Econ 8104 Midterm Notes May 5, 2008 Problem 2 We aim to show that if satisfies the weak independence axiom and continuity, then it satisfies the independence axiom. It is pretty clear that if aL + (1 - a)L aL + (1 - a)L then L L a
School: Minnesota
Ariel Zetlin-Jones Econ 8104 Midterm Notes May 5, 2008 Problem 2 We aim to show that if satisfies the weak independence axiom and continuity, then it satisfies the independence axiom. It is pretty clear that if aL + (1 - a)L aL + (1 - a)L then L L a
School: Minnesota
Some Notes on Public Economics Ariel Zetlin-Jones September 15, 2008 Contents 1 Externalities & Asym. Information 1.1 1.2 Pollution . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 4 8 Public Goods . . . . . . .