Re: Median voter thm. Elementary question

2002-12-05 Thread AdmrlLocke

In a message dated 12/5/02 12:56:07 AM, [EMAIL PROTECTED] writes:

 Howdy,

I've never really studied the Median Voter Theorem. 
Recently I read where someone claimed that the U.S.
political system was designed to keep the two parties
nearly identical by keeping other parties out.  I
assumed that the reason they Dems  Reps seem so close
may be because of the MVT--they want the middle guy's
vote.  So then I thought, suppose a third party were
let into the race, does the MVT still hold w/ for 3 or
more candidates?  Does it weaken as more candidates
are added, or do they all bunch toward the center for
for any n2, where n is the number of candidates? 
Does anybody know of a good discussion of it online?

-jsh 

Well look at the 1992 presidential race.  You had Bob Dole, the tax-collector 
for the welfare state who never met a tax hike he didn't like and the 
architect of affirmative action, Bill second-biggest tax hike in history, and 
Ross let's fix what's broke by raising taxes Perot.  You essentially had 
three mushy-moderate statist candidates running for office, and nobody openly 
advocating either mainstream conservatism or mainstream liberalism (if there 
is still such a thing).  We needed Perot's brand of mushy-moderate statism 
like Al-Queda needs a new form of explosive.

John Anderson in 1980 likewise offered fiscal conservatism and social 
moderation, in other words, warmed over Jimmy Carter, although since Reagan 
won, and would have won even had Carter gotten all of Anderson's votes 
(unlikely in the extreme based on exit-polling) it would seem we had two 
candidates rather far from the media voter.

Still, most third party candidates in America (and perhaps in some of the 
parliamentary democracies) seem to offer platforms that are determinedly away 
from the median voter's squishy preferences.  I think of candidates like 
Strom Thurmond, who probably captured the median white voter in the South, 
but fared poorly with most other voters.  Green Party and Libertarian Party 
candidates, offering platforms well away from the median voter, fare even 
more poorly, at least in all but small local races.  (I recall a bar owner in 
Denver, registered as a Libertarian, getting elected to the Denver Election 
Commission while I lived out there.)

From the little I know about the MVT--and it's little indeed--it seems to 
assume that the candidates have no ability to influence the median voter, so 
as to move it more or less in one direction or the other.  If so I'd have to 
say that it makes a more-than-heroic assumption.  I think few people would 
have guessed that during what appeared to be the heyday of unabashed 
statist-liberalism and in the wake of Watergate that a strongly-conservative 
Republican candidate would win by a large majority in 1980.  It's remarkable 
how quickly attitudes appeared to shift on a wide variety of issues from 
busing to taxes, to welfare programs to abortion to defense.  

While it's undoubtedly true that many people secretly agreed with Ronald 
Reagan's positions throughout the 1970s but feared to admit it to avoid 
social condemnation, it must also be true that Reagan and his supporters 
persuaded others who had not previously agreed, thus shifting the median 
voters toward the right across a spectrum of issues.  By focusing on the 
median voter, the MVT seems to give credence to the mushy moderate's election 
creed--pander to me or lose when I vote for your opponent--but oftentimes, 
as we've seen in recent elections with Libertarians pulling votes from 
Republicans and Greens pulling votes from Democrats that not pandering to the 
extremes loses elections too.

Indeed, it's not clear that the median voter theorem actually describes the 
process by which candidates typically win in highly-publicized elections.  
Presidents don't typically win by persuading all the mushy moderates, who 
tend to break both ways and can't generally be relied upon by a major party 
no matter what it does, but rather by building coalitions of voters 
highly-motivated  by various issues.  Put together a coalition of blacks, 
Jews, Northern WASP elites and labor union members and you can win even if 
you're too liberal (or too statist) for the median voter.  Put together a 
coalition of defense hawks, right-to-bear-arms advocates, tax-cutters, 
budget-balancers, welfare-cutters, deregulators and pro-life advocates and 
again you can win without appealing too much to that mushy moderate in the 
middle.

Voters  tend to vote based on how they feel about candidates rather than what 
they think about candidates.  The highly-ideological voter bases that feeling 
on the candidates' position on issues.  But the mushy moderate median voter 
(that has a nice assonance to it, doesn't it?) based that feeling on things 
like how well-spoken the candidates seem, or whether the candidate came to 
the voter's house for the Iowa Caucus or has a funny accent made from a Texas 
accent overlaid on a Georgian 

Re: Median voter thm. Elementary question

2002-12-05 Thread Fred Foldvary
--- john hull [EMAIL PROTECTED] wrote:
 ...  So then I thought, suppose a third party were
 let into the race, does the MVT still hold w/ for 3 or
 more candidates? 

MVT posits a bell-shaped distribution of political views, and the parties
respond to that.  Think of hot-dog vendors at a beach.  Two vendors will
position themselves at the middle, each getting half the business.

Comes a third vendor.  If he is in the center, each now gets 1/3 the sales.
 If one vendor moves just a bit away, he gets 1/2 while the others get 1/4.
 So a second vendor too moves a bit the other way.  The middle vendor, left
with little share, now moves a bit further towards one end than one of the
other 2.  The equilibrium will be that they will spread themselves so that
each gets 1/3 of the sales, 1/6 on either side.  

So, for politic parties, expect a left, right, and middle party.  The
equilibrium might be unstable sometimes as the left or right party goes to
the middle to get a greater share, but if political positions are flexible,
the middle party will then move to the other side of that party, and if
they learn that moving around does not gain anything in the long run, the
equilibrium will hold.  In reality, a political party may not be able to
change its doctrine so easily, so we can see unequal shares for a while,
but over the long run, except for ideologically driven parties, they will
move towards equal shares, or more likely, two of the parties will merge,
and they will return to a 50/50 split at the middle.  The reason for the
merger is that two parties are more stable than three parties, since once
in a while there will be an ideologically driven candidate (e.g. Goldwater)
who will move towards one end and reduce the party's share.  That can
happen with two parties (again, Goldwater) but less often, since the middle
position is less ideology-driven.

Fred Foldvary

Fred Foldvary

=
[EMAIL PROTECTED]




RE: Median voter thm. Elementary question

2002-12-05 Thread Robson, Alex
Fred Foldvary wrote: 

 MVT posits a bell-shaped distribution of political views.  

No, it doesn't.  A uniform distribution works just as well.  

Comes a third vendor.  If he is in the center, each now gets 1/3 the sales.
If one vendor moves just a bit away, he gets 1/2 while the others get 1/4.
So a second vendor too moves a bit the other way.  The middle vendor, left
with little share, now moves a bit further towards one end than one of the
other 2.  The equilibrium will be that they will spread themselves so that
each gets 1/3 of the sales, 1/6 on either side.  


This is incorrect.  There is no pure strategy equilibrium with three players.  [See, 
for example, Gibbons A Course in Game Theory, or Mas-Colell, Whinston and Green 
Microeconomic Theory]  There is, of course, a mixed strategy equilibrium.  

Alex Robson
ANU






Median voter thm. Elementary question

2002-12-04 Thread john hull
Howdy,

I've never really studied the Median Voter Theorem. 
Recently I read where someone claimed that the U.S.
political system was designed to keep the two parties
nearly identical by keeping other parties out.  I
assumed that the reason they Dems  Reps seem so close
may be because of the MVT--they want the middle guy's
vote.  So then I thought, suppose a third party were
let into the race, does the MVT still hold w/ for 3 or
more candidates?  Does it weaken as more candidates
are added, or do they all bunch toward the center for
for any n2, where n is the number of candidates? 
Does anybody know of a good discussion of it online?

-jsh

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