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Past
Course Material
Spring 2007
Course webpage
Hong Feng's TA webpage
(pdf) Homework 1, Spring 2007
1. Edgeworth Box Example: I
2. Edgeworth Box Example: II
3. Price-Taking Equilibrium and
Replica Invariance
4. Decentralization and the Meaning
of Profits
(pdf)
Homework 2, Spring 2007
1. LP Fitting Problem
2.
Pricing of Tradeable Goods and Non-Tradeable Constraints
3. Calculating MP’s and Payoffs
4. Replication Does Not
Always Increase Competitivity
5. The Matrix V for a Double Auction Model
(pdf)
Homework 3, Spring 2007
1. Demand/Supply, Inverse Demand/Supply, and Indirect
Utility/Profit
2. Do
Profits Measure Marginal Products?
3. QL and LP
4. Risk-Spreading, Flattening Effect of Large Numbers
and Full Appropriation
(pdf)
Homework 4, Spring 2007
1. Product Heterogeneity Dominated by
Substitutability
2. Increasing Numbers of Commodities without Increasing Substitutability
(pdf)
Homework 5, Spring 2007
1. Price-Taking Equilibrium
and Real Externalities
2. TV Programming
3. Truthtelling for
a Costless Public Good
4. Truthtelling
with Private Goods
5. Is There a Difference?
6. Policy
(pdf)
Midterm, Spring 2007
1. Replica Invariance and Integral
Optimality
2. Optimality and
Marginal Products in the Assignment Model
3. Searching for a Match
(pdf)
Final, Spring 2007
1. PTE and Duality
2. Competition
with Personalized Fixed Costs
3. A Model Used in Recent
Theories of Growth and International Trade
4. Resource Allocation for a Public
Park
5. Smokers and the
Creativity of the Market
Spring
2006
Course webpage
Michael Powell's TA webpage
(pdf)
Homework 1, Spring 2006
1. Replica Invariance and Convexity
2. Replica Invariance in Games/Economies
3. Wealth Distribution and Efficiency
(pdf)
Homework 2, Spring 2006
1. The Value Function
2. Pricing of Tradeable Goods and Non-Tradeable
Constraints
3. Demand Theory with Quasi-linear Utility
4. Demand/Supply, Inverse Demand/Supply, and
Indirect Utility/Profit
(pdf)
Homework 3, Spring 2006
1. An Application of Directional Derivatives
2. Computing PTE and Marginal Products
3. Do Profits Measure Marginal Products?
4. A Double Auction Assignment Model
(pdf)
Homework 4, Spring 2006
1. Price-Taking Equilibrium and Efficiency
2. Externalities in Games
3. The Geometry of the Coordination Problem
(pdf)
Homework 5, Spring 2006
1. Property Rights or Protocols
2. Creating Transactions Costs
(pdf)
Homework 6, Spring 2006
1. Price-Taking Equilibrium and Real
Externalities
2. Resource Allocation for a Public Park
(pdf)
Midterm, Spring 2006
1. Efficiency of Price-taking Equilibrium with
Quasilinearity
2. Imputing Valuations in Linear Programming
3. Risk-Spreading, the Flattening Effect of Large
Numbers, and Full Appropriation
(pdf) Final, Spring 2006
1. Duality and Superadditivity
2. Replica Invariance and Non-convexity
3. The Market Test
4. Franchise Contracting
5. Sources of Growth
Spring
2005
Course webpage
Joon Song's TA
webpage
My webpage
(pdf)
Homework 1, Spring 2005
1. Earned and Unearned Income in Walrasian
Equilibrium
2. Gainers and Losers in Equilibrium
3. Replica Invariance
4. Competition and Efficiency
(pdf)
Homework 2, Spring 2005
1. Demand, Inverse Demand, and Indirect Utility
2. Roy's Identity and Hotelling's Lemma
3. An Edgeworth Box Version of Quasi Linearity
4. Computing PTE and Marginal Products
(pdf)
Homework 3, Spring 2005
1. Graphical Description of Equilibrium and
Efficiency
2. Relation between Convexity and Concavity
3. Do Profits Measure Marginal Products?
4. A Double Auction Assignment Model
(pdf)
Homework 4, Spring 2005
1. Price-Taking and Game-Taking
2. Creating Transactions Costs
(pdf) Homework 4 Revised Q2, Spring 2005
(pdf)
Homework 5, Spring 2005
1. Public Goods and Pricing in Games
(pdf)
Homework 6, Spring 2005
1. Externalities in Games
2. The Geometry of the Coordination Problem
(pdf)
Homework 7, Spring 2005
1. Truthtelling for a Costless Public Good
2. Truthtelling with Private Goods
3. Is there a Difference?
(pdf)
Midterm, Spring 2005
1. Are the Two Theorems of Welfare Economics
Different?
2. Private and Social Gains
3. A Version of the Flattening Effect of Large
Numbers
4. Arbitrage Eliminates Non-Convexity
(pdf)
Final, Spring 2005
1. Duality and Efficiency of Price-taking
Equilibrium
2. Special Cases of Private versus Costly Public
Goods
3. The Consequences of Holdups
4. Externalities in a Game
5. A Puzzle?
(pdf)
Micro Comp, Spring 2005
5. A q-unit Auction
6. Bus Service
Spring
2004
Course webpage
Joon Song's TA
webpage
(pdf)
Homework 1, Spring 2004
1. Graphical Description of Equilibrium and
Efficiency
2. Replica Invariance
3. An Edgeworth Box Version of Quasi Linearity
(pdf)
Homework 2, Spring 2004
1. Duality when the Primal Constraints are
Equalities
2. LP Solver
3. Pricing of Tradeable Goods and Non-Tradeable
Constraints
(pdf)
Homework 3, Spring 2004
1. Equivalent Commodity Representations of V
2. Equilibrium and Outside Options
3. Positively Assortative Assignment Models
(pdf)
Homework 4, Spring 2004
1. Unbounded Non-Concavity
2. Concavifiable Non-Concavity
3. Technical Qualifications
4. Recipes for Existence of Price-Taking
Equilibrium
(pdf)
Homework 5, Spring 2004
1. Heterogeneous Commodities and Non-Concavities
2. Heterogeneous and Homogeneous Commodities with
Concavity
3. Risk-Spreading
(pdf)
Homework 6, Spring 2004
1. The Price-Taking Approach to Externalities
(Ordinal Version)
2. Searching for a Match
3. Costlessly Provided Public Goods
4. PTE Mechanism
(pdf) Midterm, Spring 2004
1. Variability of Prices and Profits
2. Factor Pricing via LP
3. Perfectly Competitive Equilibrium with
Positively Assortative Matching
4. "Dynamics" with and without Quasi-Linear
Preferences
(pdf) Final, Spring 2004
1. The Basics
2. LP Fitting Problem
3. Auctions: Indivisible versus Divisible
Commodities
4. A Public Goods Assignment Model
(pdf)
Micro Comp, Spring 2004
5. Competition with Fixed Costs
6. Franchise Contracting
(pdf)
Micro Comp, Fall 2004
5. Package Pricing
6. Do Profits Measure Marginal Products?
Spring
2003
Course webpage
Joon Song's TA
webpage
(pdf)
Homework 1, Spring 2003
1. Graphical Description of Equilibrium and
Efficiency
2. Computable General Equilibrium
3. Gainers and Losers in Equilibrium
4. Existence and Optimality
(pdf)
Homework 2, Spring 2003
1. The Value Function
2. LP Solver
3. Pricing of Tradeable Goods and Non-Tradeable
Constraints
(pdf)
Homework 3, Spring 2003
1. Equivalent Commodity Representations of V
2. Calculating MP's and Payoffs
3. Price-Taking and Procedure Taking
4. Searching for a Match
(pdf)
Homework 4, Spring 2003
1. The Matrix V for a Double Auction Model
2. Demand, Inverse Demand, and Indirect Utility
3. Roy's Identity
4. Computing Marginal Products
(pdf)
Homework 5, Spring 2003
1. Comparing PTE and PCE
2. Do Profits Measure Marginal Products?
3. Properties of v-star, v, and v-hat
4. Convexifying with Large Numbers
5. Flattening with Large Numbers
(pdf)
Homework 6, Spring 2003
1. The Standard Approach to Real Externalities
2. A Double Tragedy of the Commons
3. Externalities in a Game
4. Three Examples of CELP
(pdf)
Homework 7, Spring 2003
1. Costlessly Provided Public Goods
2. PTE Mechanism
3. Bayesian Non-Cooperative Equilibrium for
Bilateral Monopoly
(pdf)
Midterm, Spring 2003
1. Replica Invariance in the Standard Model
2. Gaming a Game
3. Assortative Matching
(pdf) Final, Spring 2003
1. The MP Inequality in LP
2. Equilibrium and Outside Options
3. Equilibrium with Prior Investments
4. Idealized Pricing
(pdf)
Micro Comp, Spring 2003
5. The Failure of Replica Invariance
6. Smoking Regulations in Restaurants
(pdf)
Micro Comp, Fall 2003
5. Representative Individual
6. Regulating a Monopolist with Unknown Cost
Spring
2002
Course webpage
Joonsuk Lee's TA
webpage
(pdf)
Homework 2, Spring 2002
1. Procedural Bargaining Rights
2. Searching for a Match
3. Comparison
(pdf)
Homework 3, Spring 2002
1. Relation Between Convexity and Concavity
2. Demand Theory and Quasi-linear Utility
3. An Edgeworth Box Version of Quasi Linearity
4. Transfer Pricing and the Meaning of Profits
(pdf)
Homework 4, Spring 2002
1. Demand, Inverse Demand, and Indirect Utility
2. Roy's Identity
3. Implications of the Existence of Prices
4. The PTE Version of Decentralization
5. No Relation Between Prices and Distribution in
PTE
(pdf)
Homework 5, Spring 2002
1. Computing Marginal Products
2. Do Profits Measure Marginal Products?
3. Consequences of Free Trade
(pdf)
Homework 6, Spring 2002
1. Asymptotic Gains from Trade: Two
Possibilities
(pdf)
Homework 7, Spring 2002
1. Local Versus Global
2. Games in Normal Form, Externalities, and
Public Goods
(pdf)
Homework 8, Spring 2002
1. Externalities in a Game
2. A Double Tragedy of the Commons
3. TV Programming
(pdf)
Homework 9, Spring 2002
1. Costlessly Provided Public Goods
2. PTE Mechanism
3. Bayesian Non-Cooperative Equilibrium for
Bilateral Monopoly
(pdf) Midterm, Spring 2002
1. Factor Price Equalization
2. The Individual Margin and the Commodity Margin
3. Proprietary Non-Convex Technologies
(pdf) Final, Spring 2002
1. Comparing PTE and PCE
2. Cost of Production Theory of Value
3. Pricing and Payment for Public Goods
4. Is it Real or Pecuniary?
(pdf)
Micro Comp, Spring 2002
3. Convergence with Fixed Costs
5. The First and Second Theorems of Welfare
Economics
Spring
2001
Course webpage
David Rahman's TA webpage
(pdf)
Homework 1, Spring 2001
1. Relation Between Convexity and Concavity
2. Demand Theory and Quasi-linear Utility
3. An Edgeworth Box Version of Quasi Linearity
4. Transfer Pricing and the Meaning of Profits
(pdf)
Homework 2, Spring 2001
1. Computing Marginal Products
2. An Application of Directional Derivatives
3. A Simple Linear Programming Problem
4. Pricing of Tradeable Goods and Non-Tradeable
Constraints
5. Bargaining Approach to Equilibrium
(pdf)
Homework 3, Spring 2001
1. Externalities in a Game
2. A Double Tragedy of the Commons
3. Consequences of Free Trade
4. Trading Public Goods
(pdf)
Homework 4, Spring 2001
1. TV Programming
2. Auction-Market Mechanisms for Indivisible
Objects
3. The Function of Prices
(pdf)
Midterm, Spring 2001
1. Price-Taking Equilibrium and Efficiency
2. Reserve Army of the Unemployed and the
Extensive Margin
3. A Special Case of the Assignment Model
(pdf)
Final, Spring 2001
1. Competition and Compensation
2. From Commodity Pricing to Pricing of
Characteristics
3. Smokers' Rights
4. Regulating a Monopolist with Unknown Cost
(pdf)
Micro Comp, Spring 2001
5. Property Rights to Innovations
6. Resource Allocation for a Public Park
Spring 2000
Course webpage
Carlos Ponce's TA webpage
(pdf)
Homework 1, Spring 2000
1. Prices in QL Economy
2. Contingent Commodities
3. Joint Production
(pdf)
Homework 2, Spring 2000
1. Profits in WE (Ellickson)
2. Contingent Commodities and Joint Production (Ellickson)
3. Externalities in Consumption (Ellickson)
4. Externalities: NE and PO (Mas-Colell)
(pdf)
Homework 3, Spring 2000
1. Quasilinear Economy
2. Externalities, Public Goods, and Lindahl
Equilibria
3. Pigouvian Taxes (Mas-Colell)
(pdf)
Homework 4, Spring 2000
1. WE and Cost Functions
2. WE in an Exchange Economy
3. Bads in WE
4. WE and Existence
5. QL WE
6. WE, Labor Supply and Existence
7. Lindahl Equilibrium and Public Goods
8. Joint Supply, and Lindahl Equilibrium
(pdf)
Homework 5, Spring 2000
1. WE, PCE and Profits: A Finite Example
2. Firms and PCE
3. Perfect Competition and the Appropriation
Inequality
4. The Assignment Model
5. The Appropriation Inequality
6. Innovation, Market Making and Incentives:
PCE vs WE
(pdf)
Homework 6, Spring 2000
1. Innovation, Market Making and Incentives:
PCE vs WE
2. Walrasian Mechanism
3. Auctions and Appropriation
(pdf)
Midterm, Spring 2000
1. The Price-Taking Approach to Externalities
2. Efficiency and Price-Taking Equilibrium with
Quasi-Linearity
3. Externalities in Games
(pdf) Final, Spring 2000
1. An Edgeworth Box Version of Quasi-Linearity
2. Innovation
3. Competition with Fixed Costs
4. Franchise Contracting
(pdf)
Micro Comp, Spring 2000
5. Household Services versus Pay TV
6. Consequences of Non-Convexity
(pdf)
Micro Comp, Fall 2000
5. Underproduction of Variety
6. What Happened to the Importance of Property
Rights?
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