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NOTES from CPO 2002 at FSU

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In depth notes from cpo 2002 used to study for exam.

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Consequentialist ethics: Evaluates actions, policies, or institutions in regard to the outcomes
they produce.

Deontological ethics: Evaluates the intrinsic value of actions, policies, or institutions in light of
the rights, duties, or obligations of the individuals involved.

Social Choice Theory: addresses the voting rules that govern and describe how individual
preferences are aggregated to form a collective group preference. Much of this is highly
mathematical.

A round-robin tournament pits each competing alternative against every other alternative an
equal number of times in a series of pair-wise votes.
- “pair-wise votes”
- Winner is whoever wins the most contests

An actor is said to be rational if she possesses a complete and transitive preference ordering
over a set of outcomes.

An actor has complete preference ordering if she can compare each pair of elements (e.g., x
and y) in a set of feasible outcomes in one of the following ways:
 Actor prefers x to y
 She prefers y to x
 She is indifferent between x and y

An actor has transitive preference ordering if for any x, y, and z in the set of outcomes it is the
case that if x is weakly preferred to y, and y is weakly preferred to z, then it must be the case
that x is weakly preferred to z, then it must be the case that x is weakly preferred to z, then it
must be the case that is weakly preferred to z.

Actors whose preference orderings do not meet these conditions-completeness and
transitivity-are said to be irrational.

Condorcet’s paradox illustrates that a group composed of individuals with rational preferences
does not necessarily have rational preferences as a collectivity; individual rationality is not
sufficient to ensure group rationality.
- Condorcet winner: an option is a Condorcet winner if it beats all other options in a series
of pair-wise contests.

All that Condorcet showed was that it is possible for a group of individuals with transitive
preferences to produce a group that behaves as if it has intransitive preferences. As a result,
Condorcet’s paradox erodes our confidence in the ability of majority rule to produce stable
outcomes only to the extent that we expect actors to hold the preferences that cause group
intransitivity.

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