Extensions to Consumer theory Inter-temporal choice Uncertainty Revealed preferences.
CDAE 254 - Class 3 Sept. 4 Last class: 1. Introduction Today: 1. Introduction 2. Preferences and...
Transcript of CDAE 254 - Class 3 Sept. 4 Last class: 1. Introduction Today: 1. Introduction 2. Preferences and...
![Page 1: CDAE 254 - Class 3 Sept. 4 Last class: 1. Introduction Today: 1. Introduction 2. Preferences and choice Next class: 2. Preferences and choice Important.](https://reader036.fdocuments.in/reader036/viewer/2022082821/5697bffb1a28abf838cc0b2e/html5/thumbnails/1.jpg)
CDAE 254 - Class 3 Sept. 4
Last class:1. Introduction
Today: 1. Introduction 2. Preferences and choice
Next class:2. Preferences and choice
Important date:Problem set 1 due Thursday, Sept. 6
![Page 2: CDAE 254 - Class 3 Sept. 4 Last class: 1. Introduction Today: 1. Introduction 2. Preferences and choice Next class: 2. Preferences and choice Important.](https://reader036.fdocuments.in/reader036/viewer/2022082821/5697bffb1a28abf838cc0b2e/html5/thumbnails/2.jpg)
1. Introduction1. Introduction1.1. Overview of an economy
1.2. Economics and microeconomics
1.3. Economic models & applied economic analysis
1.4. Development of economic models
1.5. Verification of economic models
1.6. Ten principles of economics
1.7. Functions and graphs used in economics
![Page 3: CDAE 254 - Class 3 Sept. 4 Last class: 1. Introduction Today: 1. Introduction 2. Preferences and choice Next class: 2. Preferences and choice Important.](https://reader036.fdocuments.in/reader036/viewer/2022082821/5697bffb1a28abf838cc0b2e/html5/thumbnails/3.jpg)
1.7. Functions & graphs used in economics 1.7.1. How to express economic relations?
1.7.2. Functions of one variable
1.7.3. Graphing functions of one variable
1.7.4. Functions of more than one variable
1.7.5. Graphing functions of two variables
1.7.6. Simultaneous equations
1.7.7. Derivatives
![Page 4: CDAE 254 - Class 3 Sept. 4 Last class: 1. Introduction Today: 1. Introduction 2. Preferences and choice Next class: 2. Preferences and choice Important.](https://reader036.fdocuments.in/reader036/viewer/2022082821/5697bffb1a28abf838cc0b2e/html5/thumbnails/4.jpg)
1.7.6. Simultaneous equations -- Definition: A set of equations with two
or more variables that must be solved together for a particular solution.
-- Example: Supply and demand
-- General procedures for a set of two equations:
(1) Substitution method
(2) Other methods
![Page 5: CDAE 254 - Class 3 Sept. 4 Last class: 1. Introduction Today: 1. Introduction 2. Preferences and choice Next class: 2. Preferences and choice Important.](https://reader036.fdocuments.in/reader036/viewer/2022082821/5697bffb1a28abf838cc0b2e/html5/thumbnails/5.jpg)
1.7.6. Simultaneous equations -- Example:
3X + 2Y = 19
2X – Y = 8
![Page 6: CDAE 254 - Class 3 Sept. 4 Last class: 1. Introduction Today: 1. Introduction 2. Preferences and choice Next class: 2. Preferences and choice Important.](https://reader036.fdocuments.in/reader036/viewer/2022082821/5697bffb1a28abf838cc0b2e/html5/thumbnails/6.jpg)
More examples
Y = 20 – 2X
4X – Y = 10
Qd = 10 – P
Qs = – 5 + 2P
![Page 7: CDAE 254 - Class 3 Sept. 4 Last class: 1. Introduction Today: 1. Introduction 2. Preferences and choice Next class: 2. Preferences and choice Important.](https://reader036.fdocuments.in/reader036/viewer/2022082821/5697bffb1a28abf838cc0b2e/html5/thumbnails/7.jpg)
1.7.7. Derivatives and optimization (a) How to calculate derivatives?
a) Interpretation and notation b) Rules of finding derivatives c) Examples
(b) How to derive the maximum or minimum value of a nonlinear function?
1) Derive the first derivative2) Set the first derivative to be equal to zero3) Solve for the independent variable4) Substitute the solution back to the function to get the maximum or minimum value of
the function
![Page 8: CDAE 254 - Class 3 Sept. 4 Last class: 1. Introduction Today: 1. Introduction 2. Preferences and choice Next class: 2. Preferences and choice Important.](https://reader036.fdocuments.in/reader036/viewer/2022082821/5697bffb1a28abf838cc0b2e/html5/thumbnails/8.jpg)
1.7.7. Derivatives and optimization (c) Applications – why do we need to learn
derivatives in economics?1) Profit maximization: profit = – 50 + 2 q – 0.01 q2
2) Average cost (AC) minimization AC = 120 – 0.8 q + 0.002 q2
![Page 9: CDAE 254 - Class 3 Sept. 4 Last class: 1. Introduction Today: 1. Introduction 2. Preferences and choice Next class: 2. Preferences and choice Important.](https://reader036.fdocuments.in/reader036/viewer/2022082821/5697bffb1a28abf838cc0b2e/html5/thumbnails/9.jpg)
Class exercise 1Class exercise 1(Tuesday, Sept. 4)(Tuesday, Sept. 4)
1. Derive the derivatives:(a) Y = 10 (b) Y = 100 + 2X + 0.1X2
2. If a company’s profit function is
profit = – 50 + 4 q – 0.01 q2
(a) What should be the profit-maximizing production level (q*)?
(b) What is the maximum profit?
![Page 10: CDAE 254 - Class 3 Sept. 4 Last class: 1. Introduction Today: 1. Introduction 2. Preferences and choice Next class: 2. Preferences and choice Important.](https://reader036.fdocuments.in/reader036/viewer/2022082821/5697bffb1a28abf838cc0b2e/html5/thumbnails/10.jpg)
3. Utility and choice3.1. Basic concepts
3.2. Assumptions about rational choice
3.3. Utility
3.4. Indifference curve and substitution
3.5. Marginal utility and MRS
3.6. Special utility functions
3.7. Budget constraints
3.8. Utility maximization
3.9. Applications
![Page 11: CDAE 254 - Class 3 Sept. 4 Last class: 1. Introduction Today: 1. Introduction 2. Preferences and choice Next class: 2. Preferences and choice Important.](https://reader036.fdocuments.in/reader036/viewer/2022082821/5697bffb1a28abf838cc0b2e/html5/thumbnails/11.jpg)
3.1. Basic concepts (1) Factors that determine choice (demand)
-- Preferences
-- Constraints (e.g., income, time, etc.)
(2) Consumer behavior: allocating limited resources to maximize her or his utility (satisfaction)
![Page 12: CDAE 254 - Class 3 Sept. 4 Last class: 1. Introduction Today: 1. Introduction 2. Preferences and choice Next class: 2. Preferences and choice Important.](https://reader036.fdocuments.in/reader036/viewer/2022082821/5697bffb1a28abf838cc0b2e/html5/thumbnails/12.jpg)
![Page 13: CDAE 254 - Class 3 Sept. 4 Last class: 1. Introduction Today: 1. Introduction 2. Preferences and choice Next class: 2. Preferences and choice Important.](https://reader036.fdocuments.in/reader036/viewer/2022082821/5697bffb1a28abf838cc0b2e/html5/thumbnails/13.jpg)
Preferences (tastes)Preferences (tastes)
individual tastes (preferences) determine pleasure people derive from goods
economists usually – take tastes as given– do not judge tastes– consider that tastes can change
![Page 14: CDAE 254 - Class 3 Sept. 4 Last class: 1. Introduction Today: 1. Introduction 2. Preferences and choice Next class: 2. Preferences and choice Important.](https://reader036.fdocuments.in/reader036/viewer/2022082821/5697bffb1a28abf838cc0b2e/html5/thumbnails/14.jpg)
![Page 15: CDAE 254 - Class 3 Sept. 4 Last class: 1. Introduction Today: 1. Introduction 2. Preferences and choice Next class: 2. Preferences and choice Important.](https://reader036.fdocuments.in/reader036/viewer/2022082821/5697bffb1a28abf838cc0b2e/html5/thumbnails/15.jpg)
Individual decision makingIndividual decision making
consumers face constraints on their choicesconsumers maximize their pleasure from
consumption and subject to constraints we generally want to predict behavior--not
judge it