Lecture 4 - Utility Maximization
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The Soft Budget Constraint
Acta Oeconomica, Vol. 64 (S1) pp. 25–79 (2014) DOI: 10.1556/AOecon.64.2014.S1.2 THE SOFT BUDGET CONSTRAINT An Introductory Study to Volume IV of the Life’s Work Series* János KORNAI** The author’s ideas on the soft budget constraint (SBC) were first expressed in 1976. Much progress has been made in understanding the problem over the ensuing four decades. The study takes issue with those who confine the concept to the process of bailing out loss-making socialist firms. It shows how the syndrome can appear in various organizations and forms in many spheres of the economy and points to the various means available for financial rescue. Single bailouts do not as such gener- ate the SBC syndrome. It develops where the SBC becomes built into expectations. Special heed is paid to features generated by the syndrome in rescuer and rescuee organizations. The study reports on the spread of the syndrome in various periods of the socialist and the capitalist system, in various sectors. The author expresses his views on normative questions and on therapies against the harmful effects. He deals first with actual practice, then places the theory of the SBC in the sphere of ideas and models, showing how it relates to other theoretical trends, including institutional and behav- ioural economics and theories of moral hazard and inconsistency in time. He shows how far the in- tellectual apparatus of the SBC has spread in theoretical literature and where it has reached in the process of “canonization” by the economics profession. Finally, he reviews the main research tasks ahead. -
CONSUMER CHOICE 1.1. Unit of Analysis and Preferences. The
CONSUMER CHOICE 1. THE CONSUMER CHOICE PROBLEM 1.1. Unit of analysis and preferences. The fundamental unit of analysis in economics is the economic agent. Typically this agent is an individual consumer or a firm. The agent might also be the manager of a public utility, the stockholders of a corporation, a government policymaker and so on. The underlying assumption in economic analysis is that all economic agents possess a preference ordering which allows them to rank alternative states of the world. The behavioral assumption in economics is that all agents make choices consistent with these underlying preferences. 1.2. Definition of a competitive agent. A buyer or seller (agent) is said to be competitive if the agent assumes or believes that the market price of a product is given and that the agent’s actions do not influence the market price or opportunities for exchange. 1.3. Commodities. Commodities are the objects of choice available to an individual in the economic sys- tem. Assume that these are the various products and services available for purchase in the market. Assume that the number of products is finite and equal to L ( =1, ..., L). A product vector is a list of the amounts of the various products: ⎡ ⎤ x1 ⎢ ⎥ ⎢x2 ⎥ x = ⎢ . ⎥ ⎣ . ⎦ xL The product bundle x can be viewed as a point in RL. 1.4. Consumption sets. The consumption set is a subset of the product space RL, denoted by XL ⊂ RL, whose elements are the consumption bundles that the individual can conceivably consume given the phys- L ical constraints imposed by the environment. -
CHOICE – a NEW STANDARD for COMPETITION LAW ANALYSIS? a Choice — a New Standard for Competition Law Analysis?
GO TO TABLE OF CONTENTS GO TO TABLE OF CONTENTS CHOICE – A NEW STANDARD FOR COMPETITION LAW ANALYSIS? a Choice — A New Standard for Competition Law Analysis? Editors Paul Nihoul Nicolas Charbit Elisa Ramundo Associate Editor Duy D. Pham © Concurrences Review, 2016 GO TO TABLE OF CONTENTS All rights reserved. No photocopying: copyright licenses do not apply. The information provided in this publication is general and may not apply in a specifc situation. Legal advice should always be sought before taking any legal action based on the information provided. The publisher accepts no responsibility for any acts or omissions contained herein. Enquiries concerning reproduction should be sent to the Institute of Competition Law, at the address below. Copyright © 2016 by Institute of Competition Law 60 Broad Street, Suite 3502, NY 10004 www.concurrences.com [email protected] Printed in the United States of America First Printing, 2016 Publisher’s Cataloging-in-Publication (Provided by Quality Books, Inc.) Choice—a new standard for competition law analysis? Editors, Paul Nihoul, Nicolas Charbit, Elisa Ramundo. pages cm LCCN 2016939447 ISBN 978-1-939007-51-3 ISBN 978-1-939007-54-4 ISBN 978-1-939007-55-1 1. Antitrust law. 2. Antitrust law—Europe. 3. Antitrust law—United States. 4. European Union. 5. Consumer behavior. 6. Consumers—Attitudes. 7. Consumption (Economics) I. Nihoul, Paul, editor. II. Charbit, Nicolas, editor. III. Ramundo, Elisa, editor. K3850.C485 2016 343.07’21 QBI16-600070 Cover and book design: Yves Buliard, www.yvesbuliard.fr Layout implementation: Darlene Swanson, www.van-garde.com GO TO TABLE OF CONTENTS ii CHOICE – A NEW STANDARD FOR COMPETITION LAW ANALYSIS? Editors’ Note PAUL NIHOUL NICOLAS CHARBIT ELISA RAMUNDO In this book, ten prominent authors offer eleven contributions that provide their varying perspectives on the subject of consumer choice: Paul Nihoul discusses how freedom of choice has emerged as a crucial concept in the application of EU competition law; Neil W. -
Lecture Notes General Equilibrium Theory: Ss205
LECTURE NOTES GENERAL EQUILIBRIUM THEORY: SS205 FEDERICO ECHENIQUE CALTECH 1 2 Contents 0. Disclaimer 4 1. Preliminary definitions 5 1.1. Binary relations 5 1.2. Preferences in Euclidean space 5 2. Consumer Theory 6 2.1. Digression: upper hemi continuity 7 2.2. Properties of demand 7 3. Economies 8 3.1. Exchange economies 8 3.2. Economies with production 11 4. Welfare Theorems 13 4.1. First Welfare Theorem 13 4.2. Second Welfare Theorem 14 5. Scitovsky Contours and cost-benefit analysis 20 6. Excess demand functions 22 6.1. Notation 22 6.2. Aggregate excess demand in an exchange economy 22 6.3. Aggregate excess demand 25 7. Existence of competitive equilibria 26 7.1. The Negishi approach 28 8. Uniqueness 32 9. Representative Consumer 34 9.1. Samuelsonian Aggregation 37 9.2. Eisenberg's Theorem 39 10. Determinacy 39 GENERAL EQUILIBRIUM THEORY 3 10.1. Digression: Implicit Function Theorem 40 10.2. Regular and Critical Economies 41 10.3. Digression: Measure Zero Sets and Transversality 44 10.4. Genericity of regular economies 45 11. Observable Consequences of Competitive Equilibrium 46 11.1. Digression on Afriat's Theorem 46 11.2. Sonnenschein-Mantel-Debreu Theorem: Anything goes 47 11.3. Brown and Matzkin: Testable Restrictions On Competitve Equilibrium 48 12. The Core 49 12.1. Pareto Optimality, The Core and Walrasian Equiilbria 51 12.2. Debreu-Scarf Core Convergence Theorem 51 13. Partial equilibrium 58 13.1. Aggregate demand and welfare 60 13.2. Production 61 13.3. Public goods 62 13.4. Lindahl equilibrium 63 14. -
A Macroeconomic Model with Financially Constrained Producers and Intermediaries ∗
A Macroeconomic Model with Financially Constrained Producers and Intermediaries ∗ Vadim Elenev Tim Landvoigt Stijn Van Nieuwerburgh NYU Stern UT Austin NYU Stern, NBER, and CEPR October 24, 2016 Abstract We propose a model that can simultaneously capture the sharp and persistent drop in macro-economic aggregates and the sharp change in credit spreads observed in the U.S. during the Great Recession. We use the model to evaluate the quantitative effects of macro-prudential policy. The model features borrower-entrepreneurs who produce output financed with long-term debt issued by financial intermediaries and their own equity. Intermediaries fund these loans combining deposits and their own equity. Savers provide funding to banks and to the government. Both entrepreneurs and intermediaries make optimal default decisions. The government issues debt to finance budget deficits and to pay for bank bailouts. Intermediaries are subject to a regulatory capital constraint. Financial recessions, triggered by low aggregate and dispersed idiosyncratic productivity shocks result in financial crises with elevated loan defaults and occasional intermediary insolvencies. Output, balance sheet, and price reactions are substantially more severe and persistent than in non-financial recession. Policies that limit intermediary leverage redistribute wealth from producers to intermediaries and savers. The benefits of lower intermediary leverage for financial and macro-economic stability are offset by the costs from more constrained firms who produce less output. JEL: G12, -
Soft Budget Constraint Theories from Centralization to the Market1
Economics of Transition Volume 9 (1) 2001, 1–27 Soft budget constraint theories From centralization to the market1 Eric Maskin* and Chenggang Xu** *Institute for Advanced Study, Princeton and Department of Economics, Princeton University. Institute for Advanced Study, Einstein Drive, Princeton, NJ 08540, USA. Tel: + 1 609-734- 8309; E-mail: [email protected] **Department of Economics and CEP, London School of Economics, London WC2A 2AE, UK. Tel: +44 (0)207 955 7526; E-mail: [email protected] Abstract This paper surveys the theoretical literature on the effect of soft budget constraints on economies in transition from centralization to capitalism; it also reviews our understanding of soft budget constraints in general. It focuses on the conception of the soft budget constraint syndrome as a commitment problem. We show that the two features of soft budget constraints in centralized economies – ex post renegotiation of firms’ financial plans and a close administrative relationship between firms and the centre – are intrinsically related. We examine a series of theories (based on the commitment-problem approach) that explain shortage, lack of innovation in centralized economies, devolution, and banking reform in transition economies. Moreover, we argue that soft budget constraints also have an influence on major issues in economics, such as the determination of the boundaries and capital structure of a firm. Finally, we show that soft budget constraints theory sheds light on financial crises and economic growth. JEL classification: D2, D8, G2, G3, H7, L2, O3, P2, P3. Keywords: soft budget constraint, renegotiation, theory of the firm, banking and finance, transition, centralized economy. -
Econ 337901 Financial Economics
ECON 337901 FINANCIAL ECONOMICS Peter Ireland Boston College Spring 2021 These lecture notes by Peter Ireland are licensed under a Creative Commons Attribution-NonCommerical-ShareAlike 4.0 International (CC BY-NC-SA 4.0) License. http://creativecommons.org/licenses/by-nc-sa/4.0/. 1 Mathematical and Economic Foundations A Mathematical Preliminaries 1 Unconstrained Optimization 2 Constrained Optimization B Consumer Optimization 1 Graphical Analysis 2 Algebraic Analysis 3 The Time Dimension 4 The Risk Dimension C General Equilibrium 1 Optimal Allocations 2 Equilibrium Allocations Mathematical Preliminaries Unconstrained Optimization max F (x) x Constrained Optimization max F (x) subject to c ≥ G(x) x Unconstrained Optimization To find the value of x that solves max F (x) x you can: 1. Try out every possible value of x. 2. Use calculus. Since search could take forever, let's use calculus instead. Unconstrained Optimization Theorem If x ∗ solves max F (x); x then x ∗ is a critical point of F , that is, F 0(x ∗) = 0: Unconstrained Optimization F (x) maximized at x ∗ = 5 Unconstrained Optimization F 0(x) > 0 when x < 5. F (x) can be increased by increasing x. Unconstrained Optimization F 0(x) < 0 when x > 5. F (x) can be increased by decreasing x. Unconstrained Optimization F 0(x) = 0 when x = 5. F (x) is maximized. Unconstrained Optimization Theorem If x ∗ solves max F (x); x then x ∗ is a critical point of F , that is, F 0(x ∗) = 0: Note that the same first-order necessary condition F 0(x ∗) = 0 also characterizes a value of x ∗ that minimizes F (x). -
Consumer Choice in Health Care: a Literature Review
Possibility or Utopia? Consumer Choice in Health Care: A Literature Review INEKE VAN BEUSEKOM, SILKE TÖNSHOFF, HAN DE VRIES, CONNOR SPRENG, EMMETT B. KEELER TR-105-BF March 2004 Prepared for the Bertelsmann Foundation The research described in this report was prepared for the Bertelsmann Foundation. The RAND Corporation is a nonprofit research organization providing objective analysis and effective solutions that address the challenges facing the public and private sectors around the world. RAND’s publications do not necessarily reflect the opinions of its research clients and sponsors. R® is a registered trademark. © Copyright 2004 RAND Corporation All rights reserved. No part of this book may be reproduced in any form by any electronic or mechanical means (including photocopying, recording, or information storage and retrieval) without permission in writing from RAND. Published 2004 by the RAND Corporation 1700 Main Street, P.O. Box 2138, Santa Monica, CA 90407-2138 1200 South Hayes Street, Arlington, VA 22202-5050 201 North Craig Street, Suite 202, Pittsburgh, PA 15213-1516 RAND URL: http://www.rand.org/ To order RAND documents or to obtain additional information, contact Distribution Services: Telephone: (310) 451-7002; Fax: (310) 451-6915; Email: [email protected] Table of Contents 1. Introduction ..........................................................................................11 2. Theoretical framework ............................................................................14 3. Methodology .........................................................................................19 -
Theoretical Tools of Public Finance
Theoretical Tools of Public Finance 131 Undergraduate Public Economics Emmanuel Saez UC Berkeley 1 THEORETICAL AND EMPIRICAL TOOLS Theoretical tools: The set of tools designed to understand the mechanics behind economic decision making. Empirical tools: The set of tools designed to analyze data and answer questions raised by theoretical analysis. 2 CONSTRAINED UTILITY MAXIMIZATION Economists model individuals' choices using the concepts of utility function maximization subject to budget constraint. Utility function: A mathematical function representing an individual's set of preferences, which translates her well-being from different consumption bundles into units that can be compared in order to determine choice. Constrained utility maximization: The process of maximiz- ing the well-being (utility) of an individual, subject to her re- sources (budget constraint). 3 UTILITY MAPPING OF PREFERENCES Indifference function: A utility function is some mathemat- ical representation: U = u(X1;X2;X3; :::) where X1;X2;X3; and so on are the goods consumed by the individual and u(:; :; :::) is some mathematical function that describes how the consumption of those goods translates to utility p Example with two goods: u(X1;X2) = X1 · X2 with X1 num- ber of movies, X2 number of music songs Individual utility increases with the level of consumption of each good 4 PREFERENCES AND INDIFFERENCE CURVES Indifference curve: A graphical representation of all bundles of goods that make an individual equally well off. Because these bundles have equal utility, an individual is indifferent as to which bundle he consumes Mathematically, indifference curve giving utility level U¯ is given by the set of bundles (X1;X2) such that u(X1;X2) = U¯ Indifference curves have two essential properties, both of which follow naturally from the more-is-better assumption: 1. -
IB Economics HL Study Guide
S T U D Y G UID E HL www.ib.academy IB Academy Economics Study Guide Available on learn.ib.academy Author: Joule Painter Contributing Authors: William van Leeuwenkamp, Lotte Muller, Carlijn Straathof Design Typesetting Special thanks: Andjela Triˇckovi´c This work may be shared digitally and in printed form, but it may not be changed and then redistributed in any form. Copyright © 2018, IB Academy Version: EcoHL.1.2.181211 This work is published under the Creative Commons BY-NC-ND 4.0 International License. To view a copy of this license, visit creativecommons.org/licenses/by-nc-nd/4.0 This work may not used for commercial purposes other than by IB Academy, or parties directly licenced by IB Academy. If you acquired this guide by paying for it, or if you have received this guide as part of a paid service or product, directly or indirectly, we kindly ask that you contact us immediately. Laan van Puntenburg 2a ib.academy 3511ER, Utrecht [email protected] The Netherlands +31 (0) 30 4300 430 TABLE OF CONTENTS Introduction 5 1. Microeconomics 7 – Demand and supply – Externalities – Government intervention – The theory of the firm – Market structures – Price discrimination 2. Macroeconomics 51 – Overall economic activity – Aggregate demand and aggregate supply – Macroeconomic objectives – Government Intervention 3. International Economics 77 – Trade – Exchange rates – The balance of payments – Terms of trade 4. Development Economics 93 – Economic development – Measuring development – Contributions and barriers to development – Evaluation of development policies 5. Definitions 105 – Microeconomics – Macroeconomics – International Economics – Development Economics 6. Abbreviations 125 7. Essay guide 129 – Time Management – Understanding the question – Essay writing style – Worked example 3 TABLE OF CONTENTS 4 INTRODUCTION The foundations of economics Before we start this course, we must first look at the foundations of economics. -
Mathematical Economics
Mathematical Economics Dr Wioletta Nowak, room 205 C [email protected] http://prawo.uni.wroc.pl/user/12141/students-resources Syllabus Mathematical Theory of Demand Utility Maximization Problem Expenditure Minimization Problem Mathematical Theory of Production Profit Maximization Problem Cost Minimization Problem General Equilibrium Theory Neoclassical Growth Models Models of Endogenous Growth Theory Dynamic Optimization Syllabus Mathematical Theory of Demand • Budget Constraint • Consumer Preferences • Utility Function • Utility Maximization Problem • Optimal Choice • Properties of Demand Function • Indirect Utility Function and its Properties • Roy’s Identity Syllabus Mathematical Theory of Demand • Expenditure Minimization Problem • Expenditure Function and its Properties • Shephard's Lemma • Properties of Hicksian Demand Function • The Compensated Law of Demand • Relationship between Utility Maximization and Expenditure Minimization Problem Syllabus Mathematical Theory of Production • Production Functions and Their Properties • Perfectly Competitive Firms • Profit Function and Profit Maximization Problem • Properties of Input Demand and Output Supply Syllabus Mathematical Theory of Production • Cost Minimization Problem • Definition and Properties of Conditional Factor Demand and Cost Function • Profit Maximization with Cost Function • Long and Short Run Equilibrium • Total Costs, Average Costs, Marginal Costs, Long-run Costs, Short-run Costs, Cost Curves, Long-run and Short-run Cost Curves Syllabus Mathematical Theory of Production Monopoly Oligopoly • Cournot Equilibrium • Quantity Leadership – Slackelberg Model Syllabus General Equilibrium Theory • Exchange • Market Equilibrium Syllabus Neoclassical Growth Model • The Solow Growth Model • Introduction to Dynamic Optimization • The Ramsey-Cass-Koopmans Growth Model Models of Endogenous Growth Theory Convergence to the Balance Growth Path Recommended Reading • Chiang A.C., Wainwright K., Fundamental Methods of Mathematical Economics, McGraw-Hill/Irwin, Boston, Mass., (4th edition) 2005. -
Help Your Dollars Go Further with a Health Savings Account (HSA)
Health Savings Account Help your dollars go further with a Health Savings Account (HSA) One of our healthcare plans — the Consumer Choice HSA (Health Savings Account)— offers a triple tax- advantaged HSA feature. With the Consumer Choice HSA plan option, you can visit any provider you choose, both in and out of network. And preventive care is still 100% covered. However, the deductible you pay before the plan starts sharing the cost of additional services is higher. To help you manage the higher deductible in the Consumer Choice HSA plan option, USG will match your payroll deducted contribution dollar for dollar in amounts listed below depending on your level of coverage. • $375 USG matching funds for individual coverage • $750 USG matching funds for coverage for you and your dependents You can also make your own pre-tax contributions, up to IRS limits. The account balance in your HSA rolls over from year to year, unlike a Flexible Spending Account. And, the HSA is always yours to keep – even if you switch healthcare plans or seek other employment. Take a closer look at the Consumer Choice HSA plan option: it’s a plan that can help you stay well today and plan for tomorrow with three key components. The flexibility of a Medical coverage A savings account 1 2 3 debit card Covers today’s Helps you put away money for Makes it easy to use the money at healthcare expenses future healthcare expenses any time for medical expenses Like other medical plans, the The HSA is designed to help you save for future The HSA comes with a debit card.