Collective Action Flashcards
(48 cards)
Which two theorists deal with multidimensionality?
- Plott
- McKelvey
Charles Plott facts
- American economist (born 1938)
- Plott (1967) generalized Black’s Median Voter Theorem to account for multiple dimensions
Plott’s theorem
- If members of a group have circular indifference curves (ie. possess “distance-based” spatial preferences), and if their ideal points are distributed in radially symmetric fashion around the ideal point x, then the winset of x is empty (ie. x* is a Condorcet winner)
- If voters possess distance-based spatial preferences, and if their ideal points are distributed in a radially symmetric fashion with x, the ideal point of the voters, and the number of voters is odd, then x cannot be defeated in pairwise majority voting (x has an empty winset)
Plott’s theorem basic parameters
- Circular indifference curves
- These round circles are indifferent curves ie. it is a locus of policy outcomes among which an individual is indifferent (qua utility)
- The smaller the circule the higher the utility
- The ideal point is in the middle; that is the most preferred outcome
- If an individual’s indifference curves are circular, then she always prefers points that are closer to those further away (ie. she has “distance-based” spatial preferences)
- All points inside the circle, being closer to the ideal, are actually preferred by him or her to the one on the line
Radially symmetric fashion
- Another element of Plott: radially symmetric fashion
- Radially symmetric fashion means that the policy space is effectively one-dimensional
- The voters on each side of the median have directly opposing interests which cancel them out
- A multidimensional space becomes one dimensional
- Radially symmetric does not require that the points must be equidistant from each other: “they must simply line up”
Under what condition can we discover multidimensional medians?
If ideal points are distributed symmetrically around the (multidimensional) median
Richard McKelvey facts
- Political scientist (1944-2002), specializing in the mathematical theories of voting
- McKelvey wanted to solve Arrow’s Impossibility Theorem and find the majority winner
- Restricts condition U to see if majority rule worked “tolerably”
- One-dimensional: single peakedness
- Multi-dimensional: radially symmetric distribution of ideal points (Plott); but very unstable
McKelvey’s chaos theorem
In multi-dimensional policy spaces, using paired comparisons and majority rule, winning alternatives will rarely exist, and if they do not exist, any policy can be chosen with the appropriate agenda
What does McKelvey’s chaos theorem assert?
When there are more than one dimensions to a policy, the social preference ordering is likely to be intransitive, and by manipulating he agenda, the polity can choose anything
- Multidimensionality can produce chaos
- Things that look good when we are dealing with only one dimension, but very bad when we are dealing with multiple dimensions
Summary of McKelvey
- McKelvey theorem indicates that almost every possible outcome can be realized through democratic decision-making in a multidimensional space
- The desired result is established by ensuring that in each stage another composition of the majority determines the outcome of that part of the decision-making procedure
- The person who designs the decision-making procedure needs to know the preferences of the participants to achieve the most desirable outcome by shifting majorities
Anthony Downs facts
- Anthony Downs (1930-2021)
- American economist
- Book: An Economic Theory of Voting (1957)
- Uses the Hotelling’s model for his spatial model of electoral competition
- He is also known for positing the Voting Paradox
What is the set up for Downs’ spatial model of electoral competition
- There is one ideological (economical) dimension
- Democracy
- Two parties/candidates
What are the goals of parties and voters in Downs’ model of electoral competition?
Goal for parties: Maximize political support (votes)
- Control government
Goal for voters: Policy
- As close as possible to ideal point
Other assumptions (apart from goals of parties + voters) of Downs’ model of electoral competition
- Policy is unidimensional on a scale from 0 (left-wing) to 1 (right-wing)
- Voters vote for party that is closest to their ideological preference
- Party who wins majority forms government
- No uncertainty in the baseline model
- Party cannot deviate from proposed policy once elected
How will parties/candidates position themselves in Downs’ model?
- Based on the distribution of voters, parties and/or candidates will position themselves
- If we fix one candidate’s position first, the second candidate will be very close to this one (think about the Hotelling’s model)
- Candidates should choose the position equal to the ideal point of the median voter (groups will then be of equal size)
- In other words, there is a centripetal tendency to the median voter (as was also already suggested by Black)
Interesting questions for looking at collective action
- Why do some individuals in a community seem to follow conventions?
– Why do we drive on the right side of the road? - How are large numbers of people able to coordinate their behavior?
– Why do we participate in protests or armed groups? - How do we make sure that people do their fair share of collective undertaking?
– How do we make sure that each person in our household does part of the cleaning? - Do groups uniformly represent the interest of their members?
– A powerful critique came from Mancur Olson’s “The logic of collective action”
Mancur Olson facts
- Mancur Olson (1932-1998)
- Former professor of economics at the University of Maryland
- A father of political economy and public choice
– Public financing and public policy
– Political economy
– International Relations eg. economic theory of alliances
What assumptions did Olson’s “The logic of collective action” work against?
- Prior to this, scholars took groups for granted, assuming they were a natural state of social and political affairs
- Furthermore, many believed that groups representing the wide array of interests in a society would “naturally” form to represent those interests
- Olson’s work demonstrated that these assumptions were false
Olson’s main arguments
- Rational and self-interested individuals will not act voluntarily to achieve their common or group interests
- Collective action is problematic if we talk about public goods
Defining features of public goods
Non-excludable
- They must be available to everyone if the are available to anyone
Non-rival (or jointly supplied)
- One person’s enjoyment of the good does not detract from others’ enjoyment of the good
Examples of public goods
Clean air, national defense, lighthouses, highways (?)
Characteristics of private goods
- Private goods are excludable and rivalrous
- Private goods raise no collective action problems
What does the non-excludability requirement of public goods entail?
- It means that if some members of a group achieve a public good, then every member of the groups gets to enjoy this good, whether or not the member contributed to the achievement of the good
- However, in most cases excludability is a matter of cost
- Example: the owners of a lighthouse could arrange for a series of ships carrying giant black-out screens to sail directly in front of any boat which had not paid to use the lighthouse beam
What is the collective action problem?
- Non-excludability of public goods creates incentives to free ride
- When people free-ride, the desired good is under produced or not produced at all