100% tevredenheidsgarantie Direct beschikbaar na betaling Zowel online als in PDF Je zit nergens aan vast
Eerder door jou gezocht
Solutions Manual for Analyzing Politics Rationality, Behavior, and Institutions, 2nd Edition by Kenneth, Shepsle (All Chapters) A+€12,42
In winkelwagen
Excel in Your Studies with [Analyzing Politics,Shepsle,2e] Solutions Manual: The Ultimate Resource for Academic Excellence!
Alles voor dit studieboek
(10)
Geschreven voor
Analyzing Politics Rationality, Behavior, and Inst
Alle documenten voor dit vak (2)
Verkoper
Volgen
ASolution
Ontvangen beoordelingen
Voorbeeld van de inhoud
Created By: A Solution
Solutions Manual for Analyzing Politics Rationality,
Behavior, and Instititutions, 2nd Edition by Kenneth, Shepsle
(All Chapters) A+
Analyzing Politics: Answer Key
Chapter 2: Problems and Discussion Questions
4. Either player can identify a top choice (or choices in the case of indifference) for any
subset of size 2. This is always the case as long a person’s preferences satisfy comparability.
There are 5 subsets with 3 or more outcomes: wxy, wxz, wyz, xyz and wxyz. Mr. i’s and Ms. j’s
most-preferred outcomes over these subsets are shown in Table l. Where either actor cannot state
a most-preferred choice or choices, the table contains a ‘-’.
Mr. i Ms. j
Subset Top choice Cycle? Top choice Cycle?
wxy x No x,y No
wxz - Yes x No
wyz w No y No
xyz - Yes x,y No
wxyz - Yes x,y No
Table l: Mr. i’s and Ms. j’s preferences for within subsets of the outcomes.
Preference orderings over a subset of outcomes which contain a strict preference cycle through
all of the elements in the subset have no articulable top choice. Preferences orderings over a
subset of outcomes which contain a strict preference cycle through less than all of the outcomes
in the subset may or may not have an articulable top choice. By way of comparison, note that i
has no top choice among the subset wxyz, but an individual with the following preferences
1
,Created By: A Solution
would strictly prefer w despite the presence of a cycle through x, y and z: wPx, wPy, wPz, xPy,
yPz, and zPx.
Thus, transitive preferences are a sufficient condition for identifying top choices with respect to
any possible set of outcomes. Technically, acyclic preferences over all triples of alternatives in a
subset are necessary and sufficient for each subset to possess a maximal element. Acyclicity is
defined, for any x, y, z, as: if xPy, yPz then not zPx. Transitivity implies acyclicity and thus is
sufficient for the existence of a maximal element. Inasmuch as maximizing behavior often relies
on specifying clear ordinal rankings among outcomes, transitive preferences are effectively a
prerequisite for a rational choice approach to individual decision-making.
5. A reasonable assumption is that Senator Clinton’s preferences at that point were as
follows: P > S > C. Because she chose the office of Secretary of State, it would not be reasonable
to assume that P > C > S. The assumption that P > S is stronger, but corresponds with reports in
the media at the time.
The fact that Senator Clinton chose the position within the administration implies the following:
S > (l — p)C + p(P ). The chance to serve as Secretary of State was preferred to a risky ‘lottery’
over remaining in the Senate and eventually becoming President. We can rearrange the parts of
the inequality to derive
the following statement: S—C
> p. Thus, the lowest p which would induce Hillary Clinton to stay in the
2
,Created By: A Solution
Senate is S—C
= p, and any p greater than S—C
would induce a strict preference for remaining in the
Senate. This relation also suggests three interesting comparative statics when all other variables
are held constant: l. there is a threshold as S increases at which one cannot resist the offer of the
Secretaryship; 2. there is a threshold as P increases at which one will reject the Secretaryship and
hold out for a chance at the Presidency; and, 3. as C increases the threshold p at which one will
accept the Secretaryship decreases. This latter effect occurs because as serving in Congress
becomes more desirable, the lottery over C and P becomes more appealing relative to the S.
6. Recall that the theory of expected utility states that given two different lotteries, L and L′,
over the same outcomes, then LPL′ if and only if ΣxєX p(x)u(x) > ΣxєX p′(x)u(x). Using this
definition we can get the
following two relations about Ll and L2, and L3 and L4:
The trick here is to manipulate these expressions to show that they imply a contradiction.
Consider the following two steps: add .89u(z) to both sides of the first expression, and then
subtract .89u(y) from both sides of the first expression. This yields:
3
, Created By: A Solution
which contradicts our second expression.
Two steps in this process require further justification. First, is it okay to add and subtract
constants to an expected utility expression? This is fine: expected utilities act like numbers and
adding the same number to each side of an expression will not change the overall preference
relation. If I prefer 2 apples to l orange, then I should also prefer 2 apples and lO units of utility
to l orange and lO units of utility. Second, can we take these ‘manipulated’ expressions and treat
them as identical to a genuine lottery? If we are smart about our manipulations (i.e. add and
subtract things so that we still have a proper probability distribution where all of the probabilities
are between O and l, and also sum to l) then we can treat the new objects as ordinary lotteries.
This is what allows us to compare our manipulated version of expression l with expression 2.
4
Voordelen van het kopen van samenvattingen bij Stuvia op een rij:
Verzekerd van kwaliteit door reviews
Stuvia-klanten hebben meer dan 700.000 samenvattingen beoordeeld. Zo weet je zeker dat je de beste documenten koopt!
Snel en makkelijk kopen
Je betaalt supersnel en eenmalig met iDeal, creditcard of Stuvia-tegoed voor de samenvatting. Zonder lidmaatschap.
Focus op de essentie
Samenvattingen worden geschreven voor en door anderen. Daarom zijn de samenvattingen altijd betrouwbaar en actueel. Zo kom je snel tot de kern!
Veelgestelde vragen
Wat krijg ik als ik dit document koop?
Je krijgt een PDF, die direct beschikbaar is na je aankoop. Het gekochte document is altijd, overal en oneindig toegankelijk via je profiel.
Tevredenheidsgarantie: hoe werkt dat?
Onze tevredenheidsgarantie zorgt ervoor dat je altijd een studiedocument vindt dat goed bij je past. Je vult een formulier in en onze klantenservice regelt de rest.
Van wie koop ik deze samenvatting?
Stuvia is een marktplaats, je koop dit document dus niet van ons, maar van verkoper ASolution. Stuvia faciliteert de betaling aan de verkoper.
Zit ik meteen vast aan een abonnement?
Nee, je koopt alleen deze samenvatting voor €12,42. Je zit daarna nergens aan vast.