Public Economics Lectures Part 1: Introduction

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Optimal Top Income Tax Rate Now consider constant mtr τ above fixed income threshold ¯z Derive optimal τ using perturbation argument Assume away income effects ε c = ε u = ε Diamond (1996) shows this is a key theoretical simplification Assume that there are N individuals above ¯z Denote by z m (1 − τ) their average income, which depends on net-of-tax rate 1 − τ Public Economics Lectures () Part 4: Optimal Taxation 61 / 121
Public Economics Lectures () Part 4: Optimal Taxation 62 / 121
Page 1 and 2:
Public Economics Lectures Part 1: I
Page 3 and 4:
Motivation 1: Practical Relevance I
Page 5 and 6:
Motivation 2: Academic Interest Pub
Page 7 and 8:
Methodological Themes 1 Micro-based
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Federal Government Revenue and Expe
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Federal Revenues (% of total revenu
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Federal Spending (% of total spendi
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Government Intervention in the Econ
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First Role for Government: Improve
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First Welfare Theorem Private marke
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Failure 2: Asymmetric Information a
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Individual Failures Recent addition
Page 25 and 26:
Why Limit Government Intervention?
Page 27 and 28:
Three Types of Questions in Public
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Page 31 and 32:
References on Tax Incidence Kotliko
Page 33 and 34:
Economic vs. Statutory Incidence Eq
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Overview of Literature Ideally, we
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Partial Equilibrium Model: Setup Tw
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Partial Equilibrium Model: Supply P
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Tax Levied on Producers Price S+t $
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Perfectly Inelastic Demand Price D
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Formula for Tax Incidence Implicitl
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Tax Incidence with Salience Effects
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Chetty et al.: Empirical Framework
Page 51 and 52:
Chetty et al.: Strategy 1 Experimen
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TABLE 1 Evaluation of Tags: Classro
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Period Effect of Posting TaxInclu
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Period Effect of Posting TaxInclu
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Chetty et al.: Strategy 2 Compare e
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Per Capita Beer Consumption and Sta
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Page 65 and 66:
Page 67 and 68:
Evaluating Empirical Studies Consid
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Cigarette Taxation: Background Ciga
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Evans, Ringel, and Stech (1999) Exp
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Public Economics Lectures () Part 2
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Triple Difference Some studies use
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Fixed Effects Include time and stat
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Evans, Ringel, and Stech (1999) Imp
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Evans, Ringel, and Stech: Incidence
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Evans, Ringel, and Stech: Demand El
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Evans, Ringel, and Stech: Long Run
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Hastings and Washington 2008 Questi
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Page 93 and 94:
Page 95 and 96:
Rothstein 2008 How does EITC affect
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Page 99 and 100:
Rothstein: Empirical Strategy Two m
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DFL Reweighting Widely used method
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Page 105 and 106:
Page 107 and 108:
Rothstein: Results Basic DFL compar
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Rothstein: Results Ultimately uses
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Extensions of Basic Partial Equilib
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Extensions of Basic Partial Equilib
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Harberger 1962 Two Sector Model 1 F
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Harberger Model: Effect of Tax Incr
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Harberger Model: Main Effects 2. Ou
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Harberger Model: Main Effects 3. Su
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Computable General Equilibrium Mode
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Criticism of CGE Models Findings ve
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Open Economy Application: Framework
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Open Economy Application: Empirics
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Feldstein and Horioka 1980 Second s
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Open Economy Applications: Empirics
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Capitalization and the Asset Price
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Empirical Applications 1 [Cutler 19
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Cutler 1988 First, compute excess r
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Cutler: Results Cutler finds ˆb =
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Page 145 and 146:
Page 147 and 148:
Linden and Rockoff: Results Find ho
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Excess Returns Around Drug Approval
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Distribution of Excess Returns arou
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Mandated Benefits We have focused u
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Mandated Benefits: Simple Model Lab
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Mandated Benefit Wage Rate S w 1 B
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Mandated Benefits: Incidence Formul
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Gruber 1994 Studies state mandates
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Acemoglu and Angrist 2001 Look at e
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Acemoglu and Angrist 2001 Acemoglu
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Page 171 and 172:
Public Economics Lectures Part 3: E
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Definition Incidence analysis: effe
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Effi ciency Cost: Introduction Gove
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Partial Equilibrium Model: Setup Tw
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Price Excess Burden of Taxation S $
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Effi ciency Cost: Marshallian Surpl
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EB Increases with Square of Tax Rat
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P P 3 P 2 P 1 S+t 1 +t 2 S+t 1 E B
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Tax Policy Implications With many g
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General Model: Demand and Indirect
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Path Dependence Problem Initial pri
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Consumer Surplus: Conceptual Proble
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Compensating and Equivalent Variati
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Equivalent Variation Measures utili
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Effi ciency Cost Formulas with Inco
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Compensating vs. Equivalent Variati
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Marshallian Surplus p h(V(p 1 ,Z))
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Excess Burden Deadweight burden: ch
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p h(V(p 1 ,Z)) ~ h(V(p 0 ,Z)) p 1 M
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Implementable Excess Burden Formula
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Harberger Formula Without pre-exist
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Goulder and Williams 2003 Show that
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Goulder and Williams Formula Obtain
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Goulder and Williams Results Calibr
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Harberger vs. Hausman Approach Unde
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Primitives Sufficient Stats. Welfar
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Heterogeneity Benefit of suff stat
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Discrete Choice Model Recast as pla
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Effi ciency Cost: Applications 1 [I
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Feldstein Model: Setup Government l
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Taxable Income Formula Simplicity o
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Excess Burden with Transfer Costs L
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Gorodnichenko, Martinez-Vazquez, an
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Page 243 and 244:
Poterba 1992 Estimates effi ciency
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Page 247 and 248:
Porterba: Results Tax reforms in 19
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Page 251 and 252:
Price and Tax Elasticities By Year
Page 253 and 254:
Welfare Analysis in Behavioral Mode
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Behavioral Welfare Economics: Two A
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Behavioral Welfare Economics: Two A
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Bernheim and Rangel 2009: Choice Se
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Bernheim and Rangel 2009: Compensat
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Bernheim and Rangel 2009: Refinemen
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Welfare Analysis with Salience Effe
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Welfare Analysis with Salience Effe
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Preference Recovery Assumptions A1
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Excess Burden with No Income Effect
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Effi ciency Cost with Income Effect
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Directions for Further Work on Beha
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Outline 1 Commodity Taxation I: Ram
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Second Welfare Theorem Starting poi
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Four Central Results in Optimal Tax
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Ramsey Model: Key Assumptions 1 Lum
Page 285 and 286: Ramsey Model: Consumer Behavior Lag
Page 287 and 288: Ramsey Model: Government’s Proble
Page 289 and 290: Ramsey Formula: Perturbation Argume
Page 291 and 292: Ramsey Formula: Compensated Elastic
Page 293 and 294: Special Case 1: Inverse Elasticity
Page 295 and 296: Special Case 2: Uniform Taxation Th
Page 297 and 298: Diamond 1975: Many-Person Model H i
Page 299 and 300: Diamond: Many-Person Optimal Tax Fo
Page 301 and 302: Diamond: Optimal Transfer In this m
Page 303 and 304: Lipsey and Lancaster (1956): Theory
Page 305 and 306: Diamond and Mirrlees Model Two good
Page 307 and 308: Consumer’s Offer Curve Public Eco
Page 309 and 310: Production Set with Revenue Require
Page 311 and 312: Second Best: Optimal Distortionary
Page 313 and 314: Diamond and Mirrlees: General Model
Page 315 and 316: Proof of Production Effi ciency Res
Page 317 and 318: Policy Consequences: Public Sector
Page 319 and 320: Policy Consequences: No Taxation of
Page 321 and 322: Policy Consequences: No Taxation of
Page 323 and 324: Diamond and Mirrlees: Optimal Tax R
Page 325 and 326: Diamond and Mirrlees Result: Limita
Page 327 and 328: Key Concepts for Taxes/Transfers Le
Page 329 and 330: Optimal Income Tax with No Behavior
Page 331 and 332: Mirrlees 1971: Incorporating Behavi
Page 333 and 334: Mirrlees: Subsequent Work Mirrlees
Page 335: Revenue-Maximizing Tax Rate: Laffer
Page 339 and 340: Optimal Top Income Tax Rate { } dM
Page 341 and 342: Optimal Top Income Tax Rate In US t
Page 343 and 344: Connection to Revenue Maximizing Ta
Page 345 and 346: Public Economics Lectures () Part 4
Page 347 and 348: General Non-Linear Income Tax Optim
Page 349 and 350: Numerical Simulations of Optimal Ta
Page 351 and 352: Numerical Simulations Use formula e
Page 353 and 354: Commodity vs. Income Taxation Now c
Page 355 and 356: Atkinson and Stiglitz: Commodity Ta
Page 357 and 358: Atkinson-Stiglitz: Proof Revenue un
Page 359 and 360: Atkinson-Stiglitz: Intuition With s
Page 361 and 362: Atkinson-Stiglitz: Implications for
Page 363 and 364: Chamley-Judd: Capital Taxation Judd
Page 365 and 366: Taxation and Savings: Evidence Key
Page 369 and 370: Optimal Transfer Programs Several t
Page 371 and 372: Optimal Transfers: Mirrless Model M
Page 373 and 374: Saez 2002: Participation Model Mode
Page 379 and 380: Saez 2002: Optimal Tax Formula Smal
Page 387 and 388:
Mankiw and Weinzierl 2009 Tagging w
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Nichols and Zeckhauser 1982: In-Kin
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Soup Kitchen without Wait: Cash Tra
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Income Taxation as Insurance (Varia
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Varian Model: Private Insurance Var
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References Surveys in labor economi
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Baseline Labor-Leisure Choice Model
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Labor Supply Behavior First order c
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Econometric Problem 1: Unobserved H
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Measurement Error and Division Bias
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Extensive vs. Intensive Margin Rela
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Progressive Taxes and Labor Supply
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Example 1: Progressive Income Tax P
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Example 3: Social Security Payroll
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Progressive Taxes and Labor Supply
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Non-Linear Budget Set Estimation: V
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Likelihood Function: Located at the
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Hausman (1981) Application Hausman
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Saez 2009: Bunching at Kinks Saez o
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Public Economics Lectures ()Part 5:
Page 429 and 430:
Earnings Density and the EITC: Wage
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Taxable Income Density, 1960-1969:
Page 433 and 434:
Friedberg 2000: Social Security Ear
Page 435 and 436:
Friedberg: Estimates Estimates elas
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Page 439 and 440:
Why not more bunching at kinks? 1 T
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Page 443 and 444:
Chetty et al. 2009: Model Firms pos
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Cost of Bunching at Bracket Cutoff
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Marginal Tax Rates in Denmark in 19
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All Wage Earners: Top Tax Bracket C
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Married Women Frequency 0 10000 200
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Married Female Professionals with A
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Married Women, 1994 Frequency 0 100
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Married Women at the Middle Tax: 10
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Married Women at the Middle Tax: 8%
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Distribution of Individuals’Deduc
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Teachers Wage Income: 1998 Frequenc
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Wage Earnings: Teachers with Deduct
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Distribution of Modes in Occupation
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SelfEmployed: Distribution around
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Estimates of Hours and Participatio
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Page 481 and 482:
Page 483 and 484:
Problems with Experimental Design E
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Instrumental Variable Methods Anoth
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Mroz 1987: Setup and Results Uses b
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Eissa 1995: Caveats Does the common
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Bianchi, Gudmundsson, and Zoega 200
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Bianchi, Gudmundsson, and Zoega 200
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Overall Costs of Anti Poverty Progr
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Monthly Welfare Case Loads: 1963-20
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Behavioral Responses to the EITC 1
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Eissa and Liebman 1996 Study labor
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Eissa and Liebman: Results Find a s
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Page 513 and 514:
Meyer and Rosenbaum 2001 Analyze th
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Eissa and Hoynes 2004 EITC based on
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Meyer and Sullivan 2004 Examine the
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Relative Consumption: single women
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Meyer and Sullivan: Results Materia
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Changing Elasticities: Blau and Kah
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Intertemporal Models and the MaCurd
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Life Cycle Model: Time Separability
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Dynamic Life Cycle Model: Frisch El
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Page 533 and 534:
Frisch vs. Compensated vs. Uncompen
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Card Critique of ITLS models Critiq
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Blundell, Duncan, and Meghir 1998 C
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Blundell, Duncan, and Meghir: Resul
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Page 543 and 544:
Farber 2005: Division Bias Argues t
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Manoli and Weber 2009 Use variation
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Distribution of Tenure at Retiremen
Page 549 and 550:
US Income Taxation: Trends The bigg
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Bottom 99% Tax Units 40% $40,000 35
Page 553 and 554:
Feldstein 1995 First study of taxab
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Feldstein: Results Feldstein obtain
Page 557 and 558:
Feldstein: Econometric Criticisms S
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18% 16% Wages SCorp. Partner. Sol
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Page 563 and 564:
Gruber and Saez 2002 First study to
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Gruber and Saez: Results Find an el
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Imbens et al. 2001: Income Effects
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Taxable Income Literature: Summary
Page 571 and 572:
Prescott 2004 Uses data on hours wo
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Davis and Henrekson 2005 Run regres
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Page 577 and 578:
Optimization Frictions Many frictio
Page 579 and 580:
Page 581 and 582:
Setup Consider a static demand mode
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Optimization Frictions Define agent
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Construction of Choice Set 151 150
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Identification with Optimization Fr
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Identification with Optimization Fr
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Calculation of Bounds on Structural
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) Lower Bound on Structural Elastic
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Application to Taxation and Labor S
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4.0 Bounds on IntensiveMargin Lab
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4.0 3.5 Bounds on IntensiveMargin
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Chetty and Saez 2009: Experimental
Page 603 and 604:
Year 2 Earnings Distributions: 1 De
Page 605 and 606:
Year 2 Wage Earnings Distributions:
Page 607 and 608:
Labor Supply Elasticities: Implicat
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Chetty: Formula for Risk Aversion L
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u c ,u l w 0 u c (w 0 l,l) Case A:
Page 613 and 614:
Chetty 2006: Results Labor supply e
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Outline 1 Motivations for Social In
Page 617 and 618:
Growth of Social Insurance in the U
Page 619 and 620:
Unemployment Benefit Systems in Dev
Page 621 and 622:
Useful Background Reading 1 Institu
Page 623 and 624:
Adverse Selection as a Motivation f
Page 625 and 626:
Rothschild-Stiglitz: Key Assumption
Page 627 and 628:
Rothschild-Stiglitz: Equilibrium De
Page 629 and 630:
Page 631 and 632:
Rothschild-Stiglitz: Second Best So
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Page 635 and 636:
Page 637 and 638:
Page 639 and 640:
Adverse Selection: Empirical Eviden
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Page 643 and 644:
Aggregate Shocks as a Motivation fo
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Unemployment Insurance Start with U
Page 647 and 648:
Replacement Rate Common measure of
Page 649 and 650:
Baily-Chetty model Canonical analys
Page 651 and 652:
Baily-Chetty model: Setup Static mo
Page 653 and 654:
Baily-Chetty model: First Best Prob
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Baily-Chetty model: Second Best Pro
Page 657 and 658:
Two Approaches to Optimal Social In
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Envelope Condition Why can ∂e ∂
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Suffi cient Statistic Approach to K
Page 663 and 664:
Baily-Chetty model: Second Best Sol
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Baily-Chetty Consumption-Based Form
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Empirical Estimates: Duration Elast
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Hazard Models Define hazard rate h
Page 671 and 672:
Meyer 1990 Meyer includes log UI be
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Consumption Smoothing Benefits of U
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Consumption Smoothing Benefits of U
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Calibrating the Model b ∗ Results
Page 679 and 680:
Homeowners’Consumption around Une
Page 681 and 682:
Commitments and Risk Aversion How d
Page 683 and 684:
Commitments Model: Implications for
Page 685 and 686:
Chetty 2008: Moral Hazard vs. Liqui
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Chetty 2008: Job Search Technology
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Chetty 2008: Value Functions Value
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Chetty 2008: Moral Hazard vs. Liqui
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Chetty 2008: Formula for Optimal UI
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Moral Hazard vs. Liquidity: Evidenc
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Figure 3a Effect of UI Benefits on
Page 699 and 700:
Figure 3c Effect of UI Benefits on
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log UI ben 0.527 (0.267) TABLE 2
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Figure 5 Effect of Severance Pay on
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Figure 6b Effect of Severance Pay o
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Chetty 2008: Implications for Optim
Page 709 and 710:
Figure 3 Frequency of Layoffs by Jo
Page 711 and 712:
Figure 4 Selection on Observables M
Page 713 and 714:
TABLE 3a Effects of Severance Pay a
Page 715 and 716:
Shimer and Werning 2007: Reservatio
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Figure 5a Effect of Severance Pay o
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Figure 10b Effect of Severance Pay
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Effect of Extended Benefits on Subs
Page 723 and 724:
Spike at Benefit Exhaustion Most st
Page 725 and 726:
Job Finding vs. Unemployment Exit H
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Effect of Benefit Expiration on Haz
Page 729 and 730:
Experience Rating in Washington, 20
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Feldstein 1978: Empirical Results F
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UI Savings Accounts Alternative to
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Feldstein and Altman 2007 Calculati
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Black, Smith, Berger, and Noel 2003
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Page 741 and 742:
Black, Smith, Berger, and Noel 2003
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Dynamics: Path of UI Benefits Class
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Workers Compensation Insurance agai
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Theory of Workers’Compensation Fo
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Page 751 and 752:
Effects of Benefits on Injuries Pot
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Page 755 and 756:
Effect on Equilibrium Wage Workers
Page 757 and 758:
Disability Insurance See Bound et.
Page 759 and 760:
Two Views on the Rise in DI Trend h
Page 761 and 762:
Theory of Disability Insurance Key
Page 763 and 764:
Empirical Evidence: Bound-Parsons D
Page 765 and 766:
Empirical Evidence: Bound-Parsons D
Page 767 and 768:
Gruber 2000 Exploits differential l
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Page 771 and 772:
Autor and Duggan 2003 Focus on inte
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Page 775 and 776:
Employment Shocks and DI Applicatio
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Employment Shocks and DI Applicatio
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Health Insurance Arrow (1963): semi
Page 781 and 782:
Health Care Spending in OECD Nation
Page 783 and 784:
Americans’Source of Health Insura
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Growing Health Expenditures: Key Fa
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Market Failures and Government Inte
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Measuring Health Before discussing
Page 791 and 792:
Page 793 and 794:
Optimal Govt. Intervention in Healt
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Feldstein 1973 x = non-medical cons
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Feldstein 1973: First Best Solution
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Price of each visit $200 A B S=MC $
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Page 803 and 804:
Page 805 and 806:
Finkelstein 2006 Impact of Medicare
Page 807 and 808:
Ellis and McGuire 1986 Previous ana
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Ellis and McGuire: Compensation Sch
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Ellis and McGuire: Optimal Payment
Page 813 and 814:
Ellis and McGuire: Optimal Payment
Page 815 and 816:
Ellis and McGuire Model: Limitation
Page 817 and 818:
Crowdout of Private Insurance So fa
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Currie and Gruber 1995: Benefits of
Page 821 and 822:
Public Economics Lectures Part 7: P
Page 823 and 824:
Public vs. Private Goods Private go
Page 825 and 826:
Public Good Person 1’s Consumptio
Page 827 and 828:
Public Goods Model: Setup Economy w
Page 829 and 830:
First Best if G is Private To ident
Page 831 and 832:
First Best if G is a Pure Public Go
Page 833 and 834:
Samuelson (1954) Rule Condition for
Page 835 and 836:
Model of Private Provision: Setup P
Page 837 and 838:
Lindahl Equilibrium How to achieve
Page 839 and 840:
Lindahl Equilibria: Key Properties
Page 841 and 842:
Voting Model: Setup Suppose that pu
Page 843 and 844:
Arrow (1951) and Single-Peaked Pref
Page 845 and 846:
Median Voter Theorem With single-pe
Page 847 and 848:
Median Voter Choice: Effi ciency In
Page 849 and 850:
Page 851 and 852:
Optimal Second Best Provision of PG
Page 853 and 854:
Bergstrom, Blume, and Varian (1986)
Page 855 and 856:
Bergstrom-Blume-Varian Model: Crowd
Page 857 and 858:
BBV Model: Additional Results 1 Tot
Page 859 and 860:
Empirical Evidence on Crowd-Out Two
Page 861 and 862:
Page 863 and 864:
Hungerman 2005 Studies crowdout of
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Hungerman 2005 Estimates imply that
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Andreoni and Payne 2003 OLS still y
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Andreoni and Payne 2003 $1000 incre
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Page 873 and 874:
Andreoni 1988 Isaac, McCue, and Plo
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Andreoni 1993 Uses lab experiment t
Page 877 and 878:
Page 879 and 880:
Andreoni 1993 Public good levels ar
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Financing PGs with Distortionary Ta
Page 883 and 884:
PGs with Distortionary Taxes: Setup
Page 885 and 886:
PGs with Distortionary Taxes: 1st B
Page 887 and 888:
PGs with Distortionary Taxes: 2nd B
Page 889 and 890:
Kreiner and Verdelin 2009 Consider
Page 891 and 892:
Subsidies for Charity: Setup Warm-g
Page 893 and 894:
Optimal Subsidies for Charity Resul
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Optimal Subsidies for Charity (Saez
Page 897 and 898:
Empirical Evidence Existing studies
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Externalities: Outline 1 Definition
Page 901 and 902:
Externalities: Main Questions 1 The
Page 903 and 904:
Model of Externalities: Equilibrium
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Model of Externalities: Deadweight
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Remedies for Externalities 1 Coasia
Page 909 and 910:
Coasian Solution: Limitations 1 Cos
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Price Pigouvian Tax SMC=PMC+MD S=PM
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Permits: Cap-and-Trade Cap total am
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Weitzman 1974: Market for Pollution
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Weitzman Model: Policy without Unce
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MB steep, Quantity regulation Publi
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Quantity Regulation Price Regulatio
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MB Flat, Quantity Regulation Public
Page 925 and 926:
Quantity regulation Price Regulatio
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Optimal Second-Best Taxation with E
Page 929 and 930:
Sandmo 1975: Setup Individual maxim
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Sandmo 1975: Additivity Result Main
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Double Dividend Debate Claim: gas t
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Externalities: Empirical Measuremen
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Brookshire et al. 1982 Infer willin
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Chay and Greenstone 2005 Conclusion
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Diamond and Hausman 1994 Describe p
Page 955 and 956:
Becker and Murphy 1988 Show that ad
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Bernheim and Rangel 2004 Model of
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Public Economics Lectures Part 1: Introduction

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