• What the predictions and assumptions of the median-voter theorem are.
• What the characteristics of ideal versus real voting systems are.
• How to explain the idea of a rational voter and rational ignorance.
• Why policies that provide concentrated benefits to a few while imposing diffuse costs on the majority persist.
• Why corruption and rent-seeking can persist in a democratic system.
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11© 2014 by McGraw-Hill Education
Chapter 22
Political Choices
2© 2014 by McGraw-Hill Education
• What the predictions and assumptions of the
median-voter theorem are.
• What the characteristics of ideal versus real voting
systems are.
• How to explain the idea of a rational voter and
rational ignorance.
• Why policies that provide concentrated benefits
to a few while imposing diffuse costs on the
majority persist.
• Why corruption and rent-seeking can persist in a
democratic system.
What will you learn in this chapter?
3© 2014 by McGraw-Hill Education
• Electoral political economic models assume
voters:
– Are rational and do what is in their best interest.
– Have preferences regarding policy.
– Have full information about candidates.
– Vote for the candidate whose policy platform most
nearly resembles their preferences.
• Once candidates are elected into office, they
simply implement the platforms on which they
were elected.
• In this way, rational voters directly determine the
shape of public policy.
The economics of elections
24© 2014 by McGraw-Hill Education
• Elections are often modeled based on the
median-voter theorem.
– Politicians maximize their votes by taking the policy
position preferred by the median voter.
• The conditions to assure this outcome are:
– Only two candidates.
– People vote for the candidate whose position is
closest to their own.
– Single, one-dimensional policy question.
– Candidate wins by majority vote.
The economics of elections
5© 2014 by McGraw-Hill Education
• To illustrate the theorem, consider an election
with seven voters with the following preferred
spending levels.
• Candidate A advocates relatively low spending,
while Candidate B advocates very high spending.
The economics of elections
Low spending High spending
(wins 5 votes)
Candidate A
(wins 2 votes)
Candidate B
• Voters vote for the candidate that has a spending level
policy closest to their preferred spending level.
• Candidate A wins 5 votes, while Candidate B wins 2
votes.
6© 2014 by McGraw-Hill Education
Candidate B realizes that moving his spending
policy towards the middle will win more votes.
The economics of elections
(wins 3 votes) (wins 4 votes)
Candidate A Candidate B
Low spending High spending
• Candidate B now wins 4 votes.
• Candidate A wins 3 votes.
37© 2014 by McGraw-Hill Education
Candidate A also realizes that moving his spending
policy towards the middle will win more votes.
The economics of elections
• Both have similar spending policies.
• The candidate with the spending policy closet to the
median voter wins the election.
• Thus, the median voter’s vote is the decisive vote.
(wins 4 votes) (wins 3 votes)
Candidate B
Low spending High spending
Candidate A
Median Voter
8© 2014 by McGraw-Hill Education
• There are four conditions for an ideal voting
system:
– Unanimity: If everyone in the group prefers option X to
option Y, then X beats Y.
– No dictator: There is no person who has the power to
single-handedly enact his or her own preferences.
– Transitivity: If option X beats Y, and Y beats Z, then
transitivity says that X also beats Z.
– Independence of irrelevant alternatives: If a group is
voting on option X versus option Y, this decision should
not depend on any information or preference about
another unconnected option, Z.
The elusive perfect voting system
9© 2014 by McGraw-Hill Education
For each of the following, identify which criterion for an ideal voting
system is most likely violated:
• Voters would rather spend on schools than parks, and would rather
spend on parks than alternative energy, yet alternative energy wins
over schools.
• Someone has the power to put all funds into national parks, even if
most would rather spend the money on schools.
• The option of spending on alternative energy affects whether voters
prefer spending on schools versus parks.
• Every voter would rather spend more on education than on national
parks, yet national parks spending wins.
Active Learning: Ideal voting system
410© 2014 by McGraw-Hill Education
• In most elections the voting system is first-past-
the-post, or plurality voting:
– All candidates go up against each other at once.
– Each voter can choose one of the candidates.
– The candidate who receives the most votes wins.
• The merit of this voting system is simplicity.
• It violates the independence of irrelevant
alternatives criterion, also called the third-party
problem.
• Instead of the median voter being decisive,
winning depends on whether an additional third
party candidate is on the ballot.
The elusive perfect voting system
11© 2014 by McGraw-Hill Education
Consider the 2000 presidential election between George
W. Bush, Al Gore, and third party candidate Ralph Nader.
The elusive perfect voting system
Gore wins Bush wins
Percent of
voters
1. Gore
2. Bush 51%
1. Bush
2. Gore 49%
Preference
2000 election with two
parties
A third party changes
the election outcome
3%
48%
49%
Preference
1.Nader
2.Gore
3.Bush
1.Gore
2.Nader
3.Bush
1.Bush
2.Gore
3.Nader
Percent of
voters
• If only two main candidates:
– Gore is the first preference
for a larger share of voters.
– Gore wins.
• If Nader also is a candidate:
– Some who previously voted
for Gore switch their votes
to Nader.
– Preferences between Gore
and Bush remain.
– Bush now is the first
preference of the largest
share of voters, and wins.
12© 2014 by McGraw-Hill Education
• To avoid the third-party problem, one suggestion
would be to use pair-wise majority voting.
– Election options are taken in pairs, and the majority
vote wins.
– When all options have been put to a “head-to-head”
match between a pair of opponents, one might expect
the most popular option to win.
• This system fails another criteria, transitivity,
giving rise to the Condorcet paradox.
– Preferences of each individual member of a group are
transitive, but the collective preferences of the group
are not.
The elusive perfect voting system
513© 2014 by McGraw-Hill Education
• Consider a simple vote of three city council members to
construct either a new jail, a new city hall, or a new library.
• Each council member has ordered preferences.
The elusive perfect voting system
Preferences of 3 city council members
Jail City Hall Library>>
City Hall Library Jail
Library City HallJail
>>
>>
Member 1:
Member 2:
Member 3:
• Member 1 prefers the jail, followed by the city hall, and then the library.
• Member 2 prefers the city hall, followed by the library, and then the jail.
• Member 3 prefers the library, followed by the jail, and then the city hall.
• If the council members took a simple vote, the result would be a three-way
tie.
14© 2014 by McGraw-Hill Education
Library
2 votes
City Hall
2 votes
City Hall Libraryvs.
Election order #2
Jail
2 votes
• Suppose the council decides to use pair-wise majority voting.
• The ordering of the pairwise elections determines which project is
funded.
The elusive perfect voting system
Libraryvs.
Jail City Hallvs.
Election order #1
LibraryWinner =
2 votes
Jailvs.
Winner = Jail
2 votes
City Hallvs.
Winner = City Hall
2 votes
JailLibrary vs.
Election order #3
• When the principle of transitivity is violated, the power to set the agenda
is sometimes crucial in shaping the final outcomes.
• The person who decides on the order in which issues are brought to a
vote for the city council wields considerable power.
15© 2014 by McGraw-Hill Education
• There are many more possible voting systems.
– Variations on first-past-the-post, such as holding a run-off
between the top two candidates.
– “Instant-runoff” systems, in which voters rank all
candidates by order of preference.
– “Approval voting,” in which voters can vote for multiple
candidates.
– The Borda count, commonly used to rank sports teams in
national polls.
• Arrow’s impossibility theorem states that no voting
system can aggregate the preferences of voters over
three or more options while meeting all of the criteria
for an ideal voting system.
– No voting process is perfect.
The elusive perfect voting system
616© 2014 by McGraw-Hill Education
• All voting systems have assumed voters are rational and
fully informed.
– Elections can be swayed by more than rational policy
considerations of well-informed voters.
• There are costs associated with being informed.
– Some voters may find the opportunity cost of gathering
information outweighs the benefits and choose to remain
ignorant, known as rational ignorance.
• Even though the benefit of one vote is quite small,
people still vote.
– The likelihood of casting a pivotal vote.
– Utility from participating in a civic event.
– Altruism to contribute to the democratic process.
– Social pressure to do one’s duty.
Political participation and the myth
of the “rational voter”
17© 2014 by McGraw-Hill Education
• Political advocacy and engagement suffer from
the free-rider problem, similar to public goods.
– Best ideas might not win if people fail to lend support.
– The collective-action problem may occur if individuals
need to act collectively to reach solutions that will
make everyone better off, and fail to do so.
• It is costly to engage in collective action.
– Large groups have relatively more diffuse costs and
benefits than smaller groups.
– The concentrated benefits of small groups compared
to the diffuse costs of large groups allow for policies
such as farm subsidies to persist.
The economics of policy-making
18© 2014 by McGraw-Hill Education
• Government create waste and inefficiency by
contributing to rent-seeking, the act of pursuing
privileges that increase the surplus of a person or group
without increasing total surplus.
– Often involves lobbying.
– Legal, but wasteful.
– At its extreme, corruption occurs, which is illegal.
– Bureaucratic capture may occur when government
positions are filled with people who have close ties to the
group they are supposed to regulate.
• It is costly to acquire information about what public
officials are doing and what they should be doing.
– Political opponents have incentives, but are not trusted.
– Media has mixed incentives, like a desire to keep sources.
Corruption and rent-seeking
719© 2014 by McGraw-Hill Education
Decide whether rent-seeking, corruption, or bureaucratic
capture applies.
1. A government official is bribed in exchange for a contract.
2. Senior-citizens lobby the city to spend more on public
transit for the elderly.
3. The President appoints the former head of J.P. Morgan to
the SEC.
4. The head of the teachers’ union offers support to a
candidate in exchange for her promise to spend more on
teacher salaries.
Active Learning: Rent-seeking, corruption,
and bureaucratic capture
20© 2014 by McGraw-Hill Education
• The rules that make up political structures can
have a big effect on outcomes.
• There are three that have a particularly big
impact on how voters’ preferences are
translated into policy choices.
1. Number of political parties.
• Two party systems use first-past-the-post voting.
• Proportional representation system assigns percentages
of legislature seats proportional to the distribution of
the nationwide votes.
How political structure affects outcomes
21© 2014 by McGraw-Hill Education
2. Term limits.
– Prevent officials from holding office for longer than a
certain amount of time.
– May discourage corruption by ensuring that one
person isn’t allowed to hold onto power for too long.
– The opposite might be true under certain
circumstances.
3. Increased enfranchisement.
– Who has the right to vote can change the composition
of voters and the viability of various policies.
– Even when the right to vote is universal, poll taxes,
literacy requirements, or other such obstacles can
keep the poor or uneducated from being able to vote.
How political structure affects outcomes
822© 2014 by McGraw-Hill Education
• The median-voter theorem suggests that
politicians maximize their votes by taking the
policy position preferred by the median voter.
• It assumes:
– There is a single, one-dimensional policy question.
– Voters always vote for the candidate whose
position is closest to their own.
– There are only two candidates.
– The winner is determined by majority vote.
Summary
23© 2014 by McGraw-Hill Education
• Arrow’s impossibility theorem states that no
system can aggregate the preferences of voters
among three or more discrete options while
satisfying the four basic criteria for an ideal voting
system:
– Unanimity.
– Transitivity.
– Irrelevance of independent alternatives.
– No dictators.
• Uninformed voting is an example of rational
ignorance, when the costs of gathering
information outweigh the benefits.
Summary
24© 2014 by McGraw-Hill Education
• In collective-action problems, a group of people
stands to gain from an action that it is not rational
for any of the group members to undertake
individually.
– The theory that groups experiencing concentrated
benefits tend to win over those with diffuse costs is
used to explain the persistence of policies that don’t
appear to be in the interest of the majority of voters.
• Rent-seeking is the act of pursuing arrangements
that increase one’s own surplus without
increasing total surplus.
• Corruption is when public officials use the powers
of their position to achieve personal gains.
Summary