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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
Economics 8104: Problem Set 1 March 29, 2008 Due Thursday, April 3 1. This question deals with the numerical implications of Rabin's paper on agents' characteristics. a. Consider an agent with log utility who is known to reject a 50-50 bet of lose $
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 October 2, 2007 Notes on Problem Set 3 One note about your problem sets. In general, I encourage you to be more clear in your exposition of your proofs. Your understanding of a proof or a problem should be demonstrated by the prec
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 Final Exam Solutions May 22, 2008 Question 1 I do not give a specic counterexample, but I give intuition for why this preference will violate P2. Let a be a simple act, and a not simple that is, a(S) is a nite subset of
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 . . . . . . .