Lecture 6 Flashcards
Why do governments do what they do?
Different ways of organizing government produce different results.
Ideal case: Government measures preferences & acts accordingly.
- Direct democracy: Voters directly vote in favor of or in opposition to particular public projects. => Projekte wählen
- Representative democracy: Voters elect representatives who decide on public projects => Representatives wählen
What is Lindahl pricing?
=form of direct democracy
An approach to financing public goods in which individuals honestly reveal their willingness to pay and the government charges them that amount to finance the public good.
=> Ich würde 20€ für 1qm Park zahlen
* Getting individuals to reveal their true marginal WTP
* Aggregating these values to ensure that the social benefits > total cost
* Charging each individual according to his or her WTP
Problem: under- or overprovision of some public goods
Lindahl´s procedure
Announce tax prices for the public good.
2. Everyone says how much of the public good they want at those tax prices.
3. Repeat to construct a marginal willingness to pay schedule for each individual.
Recall that efficient provision requires that total marginal WTP = MC.
4. Add up individual willingness to pay at each quantity of public good provided.
5. Find Q such that total marginal willingness to pay = MC.
6. Finance the public good by charging individuals their willingness’s to pay for that quantity.
requires unanimous consent to implement the public good
most governments only use majority voting (das was die absolute Mehrheit >50% wählt)
BSP:
MC= 1$
Jack: 25 for 2$ 75 for 0.75$
Anne: 25 for 0.75$, 75 for 0.25$
=> addiert: 25 for 2.75$, 75 for 1$
Solution: 75 fireworks for each 1$
Why does Lindahl pricing work?
Under Lindahl pricing, the government produces the efficient amount of the public good.
* This is because MC = total marginal WTP.
* Each person’s price is equal to their own marginal willingness to pay, so this is an equilibrium.
* Lindahl pricing also exemplifies benefit taxation (=Taxation in which individuals are taxed for a public good according to their valuation of the benefit they receive from that good) => wem bring es wie viel?
Problems of Lindahl pricing
why it is kept from being used in practice:
1. Preference revelation problem: Individuals have an incentive to lie about their willingness to pay, to lower their price. (=cheating/ free riding => 84 mil. decide => not my responsibility/ everyone thinks so)
- Preference knowledge problem: Individuals may not know their willingness to pay. => even rational agents not know everything (zb wie viel ist mir eine extra Spur auf der Autobahn wert?)
- Preference aggregation problem: It is not obvious how to aggregate individual preferences into a social welfare function => man kennt keine former (zb such wessen stimme wird mehr gezöhlt)
Lindahl Pricing in the U.S.
Direct democracy remains strong in America + Switzerland
- Direct democracy uses referenda and voter initiatives.
- Referendum: A measure voted by the government allowing citizens to vote on state laws or constitutional amendments that have already been passed by the state legislature.
- Voter initiative: The placement of legislation on the ballot by citizens
What goals must majority voting satisfy
- Dominance
- Transitivity (apples >oranges; bananas < oranges => apples >bananas) Präferenzen müssen klar bestimmbar sein/ rational decision making
- Independence of irrelevant alternatives (vote over apples& bananas independent of oranges (other options should not matter)
* Thus, majority voting can consistently aggregate individual preferences
nur wenn: preferences are restricted to take a certain form.
Beispiel Majority Voting where it works
preferences over School Spending (L, M, H)
1. Eltern, Alte, Junge Paare
eltern: h, m, l
Alte: l, m, h
Junge Paare: m, l, h
H vs L; H vs M; L vs M => m would win for any order of voting => majority voting is consistent
Beispiel Majority Voting where it does not work
gleiches Szenariuo; nur private school parents anstatt Rentener
l, h, m
=> No clear winner and no consistent outcome from majority voting
Cycling: When majority voting does not deliver a consistent aggregation of individual preferences. => AGENDA DECIDES
Majority-runoff voting didn’t work, but maybe something else would.
* We could let everyone vote on their first choice.
* We could do weighted voting by assignment.
* In fact, there is no good way to consistently aggregate these preferences.
=> when double-peak optimum => AGENDA decides the outcome
What is the arrow´s impossibility theorem?
there is no social decision (voting) rule that converts individual preferences into a consistent aggregate decision without either
(a) restricting preferences or
(b) imposing a dictatorship.
Restricting Preferences to Solve the Impossibility Problem
One way to avoid the impossibility problem is to restrict preferences.
* The problem with the private school parents is that their preferences are not single peaked.
* Single-peaked preferences: Preferences with only a single local maximum, or peak, so that utility falls as choices move away in any direction from that peak.
=> otherwise impossible to have consistent choices
What is the median Voter Theorem?
Majority voting will yield the outcome preferred by the median voter if preferences are single-peaked.
Median Voter: The voter whose tastes are in the middle of the set of voters.
The government need find only the one voter whose preferences for the public good are right in the middle of the distribution of social preferences and implement the level of public goods preferred by that voter.
MITTELMANN/ FRAU DER GESELLSCHAFT
Potentially inefficient:
51% prefer 10, 49% prefer - 20 => surplus falls by almost 5$
PROBLEM: Majority voting does not recognize INTENSITY of preferences
Vote-Maximizing Politicians Represent the Median Voter
The median voter model may apply to representative democracies.
* Key assumption: All politicians care about is maximizing the number of votes they get.
* Politicians strategically position themselves to get the most votes.
* End up enacting the median voters’ preferences.
Assumptions of Median Voter theorem
Single-dimensional voting
* The median voter model assumes that voters base their votes on a single issue.
(rather making a compromise)
* Representatives are elected on a bundle of issues.
* Different people may be at different points of the voting spectrum on different issues, so appealing to one end of the spectrum or another on some issues may be vote-maximizing.
Only two candidates
* The model assumes only two candidates.
* No equilibrium in the model with three or more candidates: there is always an incentive to move in response to your opponent’s positions.
* In many nations, the possibility of three or more valid candidates for office is a real one.
No ideology or influence
* The median voter theory assumes that politicians care only about maximizing votes.
* Ideological convictions could lead politicians to position themselves away from the center of the spectrum and the median voter.
FEHLER: politicians denken an Tochter => ändern Meinung über reproductive rights
POLITICIANS ARE PLAYERS WHO ONLY CARE ABOUT THE VOTES
- No selective voting = JEDER WÄHLT
- The median voter theory assumes that all people are affected by public goods vote.
- In fact, only a fraction of citizens vote in the United States.
No money
* The median voter theory ignores the role of money as a tool of influence in elections.
* If taking an extreme position on a given topic maximizes fund-raising, even if it does not directly maximize votes on that topic, it may serve the long-run interests of overall vote maximization by allowing the candidate to advertise more.
Europe: public financed elections; U.S. private money influencing election to a large degree
Full information
* The median voter model assumes perfect information along three dimensions:
* Voter knowledge of the issues
* Politician knowledge of the issues
* Politician knowledge of voter preferences (getting weaker now)
* All three of these assumptions are unrealistic.
CONCLUSION MAJORITY VOTING
is not taking into account:
intensity
minorities
not consistent about: a) agenda; b) certain set-up how determined
DAHER: not always efficient outcome