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Concave function
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41	Name Midterm Examination: Economics 210A November 7, 2012 Answer Question 1 and any 4 of the other 6 questions. Good luck. 1) Let f be a real-valued concave function whose domain is a convex subset of Add to Reading List Source URL: www.econ.ucsb.edu Language: English - Date: 2012-11-13 15:15:06 Consumer theory Economics Revealed preference PROPT Consumer choice Microeconomics Utilitarianism
42	Midterm Exam, Econ 210A, Fall[removed]Elmer Kink’s utility function is min{x1 , 2x2 }. Draw a few indifference curves for Elmer. These are L-shaped, with the corners lying on the line x1 = 2x2 . Find each of the follow Add to Reading List Source URL: www.econ.ucsb.edu Language: English - Date: 2008-11-19 18:29:11 Concave function Convex function Hessian matrix Quasiconvex function PROPT Logarithmically concave function Mathematical analysis Mathematical optimization Convex analysis
43	Rooftop Theorem for Concave functions This theorem asserts that if f is a differentiable concave function of a single variable, then at any point x in the domain of f , the tangent line through the point (x, f (x)) lies Add to Reading List Source URL: www.econ.ucsb.edu Language: English - Date: 2014-10-20 14:23:39 Calculus Continuous function Concave function Numerical software TomSym PROPT Mathematical analysis Mathematics Convex analysis
44	Name Midterm Examination: Economics 210A October 2011 The exam has 6 questions. Answer as many as you can. Good luck. 1) A) Must every quasi-concave function must be concave? If so, prove it. If not, Add to Reading List Source URL: www.econ.ucsb.edu Language: English - Date: 2011-10-26 14:09:17 Mathematical optimization Counterexample Logic Quasiconvex function Derivative Concave function Mathematical analysis Mathematics Convex analysis
45	Midterm Exam, Econ 210A, Fall[removed]Elmer Kink’s utility function is min{x1 , 2x2 }. Draw a few indifference curves for Elmer. Find each of the following for Elmer: • His Marshallian demand function for each good. Add to Reading List Source URL: www.econ.ucsb.edu Language: English - Date: 2008-11-03 16:55:56 Concave function Convex function Quasiconvex function Utility Hessian matrix Expected utility hypothesis Insurance Dracula Logarithmically concave function Mathematical analysis Mathematical optimization Convex analysis
46	Lecture 20: Convexity and Optimization We say that if f is a once continuously differentiable function on an interval I, and x is a point in the interior of I that x is a critical point of f if f 0 (x) = 0. Critical poin Add to Reading List Source URL: math.caltech.edu Language: English - Date: 2013-11-18 10:34:32 Convex analysis Differential calculus Convex function Concave function First derivative test Continuous function Second derivative test Derivative Mean value theorem Mathematical analysis Mathematics Calculus
47	Answers to Econ 210A Midterm, October 2010 Question 1. f (x1 , x2 ) = p Add to Reading List Source URL: www.econ.ucsb.edu Language: English - Date: 2010-11-01 17:36:31 Convex function Quasiconvex function Concave function Hessian matrix PROPT COMPASS/Sample Code Mathematical analysis Mathematical optimization Convex analysis
48	Proving that a Cobb-Douglas function is concave if the sum of exponents is no bigger than 1 Ted Bergstrom, Econ 210A, UCSB If you tried this problem in your homework, you learned from painful experience that the Hessian Add to Reading List Source URL: www.econ.ucsb.edu Language: English - Date: 2010-10-20 15:22:45 Mathematics Convex function Concave function Quasiconvex function Hessian matrix Derivative Logarithmically concave function Mathematical analysis Mathematical optimization Convex analysis
49	Name Midterm Examination: Economics 210A November 7, 2011 Answer Question 1 and any 4 of the other 6 questions. Good luck. 1) Let f be a real-valued concave function whose domain is a convex subset of Add to Reading List Source URL: www.econ.ucsb.edu Language: English - Date: 2012-11-06 18:23:59 Demand Economics Revealed preference Consumer theory Marshallian demand function Indirect utility function
50	Algorithms for Optimal Decisions Tutorial 1 Answers Exercise 1 Show that the intersection S of any numbers of convex sets Si is a convex set. Add to Reading List Source URL: www.doc.ic.ac.uk Language: English - Date: 2006-11-15 10:45:05 Mathematical analysis Convex function Concave function Vector space Constructible universe GEC TomSym Algebra Mathematics Convex analysis

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