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Summary & Lecture Notes Public Economics | VU Amsterdam |

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These notes cover the entire course curriculum in detail, complete with step-by-step explanations, graphs, and mathematical derivations. Topics Covered: Week 1: Introduction to Public Economics, Positive vs. Normative Economics, Old vs. New Welfare Economics, Social Welfare Functions (Utilitarian, Rawlsian, Bergson-Samuelson), Social Welfare Weights, and Behavioral Social Welfare. Week 2: Fundamental Theorems of Welfare Economics, Pareto Efficiency, Edgeworth Boxes (Exchange, Production, Overall Efficiency), Conditions for the 1st and 2nd Welfare Theorems, Market Failures (Monopoly, Externalities, Asymmetric Information, Incomplete Markets), and the Coase Theorem. Week 3: Tax Incidence, Neoclassical Labor Supply Model, Income and Substitution Effects, Deadweight Loss (DWL), Marginal Excess Burden (MEB), Average Excess Burden (AEB), and Tax-Shifting Coefficients. Week 4: Optimal Taxation, Linear vs. Non-Linear Income Taxation, Equity-Efficiency Trade-off, Mirrlees Approach, Pareto Distributions and Optimal Top Tax Rates, Political Economy, and Flat Tax Critiques. Week 5: Capital and Consumption Taxation, Atkinson-Stiglitz Theorem, Chamley-Gudd Zero Capital-Income Taxation Result, Breakdown of the Zero Capital Tax Result, and Dutch Tax System Reforms (Box 1, 2, 3). Key Features:Clear graphical illustrations and step-by-step math derivations Perfect for exam preparation, problem sets, and quick revisions

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, ~
Economics




Government of GDP Composition of taxation 2021 (% of total rev)
a
percentage
revenue as s




Marginal tax burden labour income Total tax burden on labor income
·

·

on

(in % of total labour costs , any earnings) (in % of total labour costs , an earnings)




Government
spending as a
percentage Composition of spending 2021

of GDP 2021 (% of total spending)

, * Positive vs. Normative economics
Positive economics
explaining 'what is
·

:




Normative economics be implemented social cost
:
explaining 'how should
government goals at lowest




important normative economics is not about
specifying 'which
goals should
government implement ?
:
-




course is normative economics,
mainly about




* Welfare

Individuals derive
utility u(x) from vector of which include
a
goods X
may
:
,




3
>
-
consumption C

>
-
leisure l
>
-
public goods G Vector can be written as : X = C, C ,
G ,
F ,
S
, .

environmental
quality E
>
-




S
safety
>
-




>
-
any other scarce
commodity Y




derived individual
Individual welfare :

utility a from scarce
goods of X of a particular
-




utility & individual welfare are
synonymously used




* Old Welfare Economics

naues :
John Stuart Mill , Jeremy Bentham , Alfred Marshall , Francis Edgeworth, Arthur Pigou

Aidea :
utility is a metric for the
economic-wellbeing of individuals



* Cardinal
utility -
utility or individual welfare is quantifiable metric

, Interpersonal utility or welfare economics Since utility can be measured it can be compared
-




,
:




between individuals

1. Compute exactly how well off individuals are with bundlex for any X for all possibilities
.
2 Compute how
exactly how much more
utility person n has from bundle Xn , than person
M from bundle Xm for all n & m from set of individuals ,


* Is old welfare economics
egalitarian ?
u)I
-Often its assumed that
everybody has the same
utility function ,
but its not
necessary
- if Cardinal of individual welfare
utility is : it produces a number even if the function

u () are diff for all n,



In economics its assumed that
marginal utility of income declines w/ income .


· Modern interpretations : 1 consumption smoothing (saving) ,
2 risk aversion (insurance



-If everybody is the same & derives utility from only consumption (or income) C ,
so that use ,

social welfare is
only maximized if
everybody has some
marginal utility of consumption (or income

is
=>
Hu the SAME for everyone !, Iis the same for
everyone (Edgeworth)

! traditional welfare economics had an
egalitarian flavour
a
egalitarian believing equality along
:
people


* New welfare economics

Key naves Vilfredo Pareto , Lionel Robbins Abram Bergson Paul Samuelson Johan de Villiers Graaff
-

:
, ,
,
-




Main idea
Utility is a tautology' that equates observed economic behavior w/the object that
·


:
-


& statement that is true
by definition
individuals are
maximizing

individual welfare just
* Ordinal
utility -
utility or
gives a preference ordering .
indicate
utility rankings assigningnumerical
- means that relative
desirability of diff cons. bundles rather than vasis

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