Re: lotteries and elections

2004-09-01 Thread Wei Dai
On Tue, Aug 31, 2004 at 08:25:16PM -0500, Jeffrey Rous wrote:
 When people ask me why I vote, my standard answer is because I can. Voting simply 
 reminds me that we have something special going here in the free world. I do a 
 decent job of learning about the candidates and issues not because I think my single 
 vote matters, but because, overall, voting does matter and I get a kick out of being 
 part of the process.

Maybe you know that your vote doesn't matter and still vote anyway, but I
bet there is a high positive correlation among the general population
between the belief that one's vote matters, and willingness to vote.

Using ourselves for anecdotes in this case is a bad idea. We as a
self-selected group of armchair economists already know that the
probability that one's vote will make a difference in the outcome is tiny,
so of course anybody who still votes will be voting for other reasons.


Re: lotteries and elections

2004-09-01 Thread Wei Dai
On Tue, Aug 31, 2004 at 07:50:08PM -0400, [EMAIL PROTECTED] wrote:
 I've been discussing with my undergradute students the rationality of voting.

What about the possibility that many people do not deal well with with
small probabilities, and mistakenly think that their votes matter?

Why have economists latched onto the idea of expressive voting, when a
much simpler explanation is that most apparently irrational voting really
is irrational? Of course expressive voting preserves the assumption of
rationality, but there is still the problem of participation in lotteries
with negative expected payoffs. Is that just to be ignored, or will
someone come up with a theory of expressive lottery ticket purchase?


Re: lotteries and elections

2004-09-01 Thread Xianhang Zhang
Wei Dai wrote:
On Tue, Aug 31, 2004 at 08:25:16PM -0500, Jeffrey Rous wrote:

When people ask me why I vote, my standard answer is because I can. Voting simply 
reminds me that we have something special going here in the free world. I do a decent job of 
learning about the candidates and issues not because I think my single vote matters, but 
because, overall, voting does matter and I get a kick out of being part of the process.

Maybe you know that your vote doesn't matter and still vote anyway, but I
bet there is a high positive correlation among the general population
between the belief that one's vote matters, and willingness to vote.
Using ourselves for anecdotes in this case is a bad idea. We as a
self-selected group of armchair economists already know that the
probability that one's vote will make a difference in the outcome is tiny,
so of course anybody who still votes will be voting for other reasons.

It seems to be taken as a given that the cost/benifit analysis of voting
seems to be placed firmly on the side of not-voting. Does anybody have
any data to back that up? It seems to me that even though the chance
that your vote would matter is rather small, the effect it can have if
it does matter is very, very large. An interesting thing I've heard
about from the Australian elections is that the entire fate of the
country depends on as little as 20,000 people. Most electorates are
safe and your vote doesn't matter either way, in swing states, most
voters are already decided so those 20,000 people have a huge effect on
the election outcomes.
Xianhang Zhang


Re: lotteries and elections

2004-08-31 Thread Dimitriy V. Masterov
I don't have an answer for you, but it seems important to point out that
not all lotteries have a negative expected payoff. Large, multi-state
jackpots are often a fair bet, even after taxes.

The best economic analyses I've seen are Charles T. Clotfelter and Philip
J. Cook, Selling Hope: State Lotteries In America (Cambridge, MA: Harvard
University Press, 1989), and Clotfelter, Charles T., and Philip J. Cook.
1990. On the Economics of State Lotteries. The Journal of Economic
Perspectives, 4(4): 105-119. These are mostly concerned with the taxation
aspect, but you might find something useful there.

Dimitriy V. Masterov


Re: lotteries and elections

2004-08-31 Thread Christopher Auld
On Tue, 31 Aug 2004, Dimitriy V. Masterov wrote:

 I don't have an answer for you, but it seems important to point out that
 not all lotteries have a negative expected payoff. Large, multi-state
 jackpots are often a fair bet, even after taxes.

How does that come about?


Cheers,

M. Christopher Auld[EMAIL PROTECTED]
Assistant Professorhttp://jerry.ss.ucalgary.ca
Department of Economicsvoice: 1.403.220.4098
University of Calgary  FAX:   1.403.282.5262


Re: lotteries and elections

2004-08-31 Thread Robert A. Book
Dimitriy V. Masterov writes:
 If my memory serves me, when no one has a winning ticket, the pot gets
 rolled over to the next round. When you have several large states that run
 a joint lottery, the sum can get really enormous when this happens, so
 that the expected gain is positive even with a minuscule probability of
 winning.

Right.

 Economic intuition will predict that when this happens, lots of
 people will rush to buy tickets,

Right.

 so that the the probability of winning
 will fall, eliminating any gains. However, this does not always seem to be
 the case in real life.

Not quite right, but sort of.  With these games, the player picks
numbers, the lottery picks numbers, and the player wins if his/her
numbers match the lotteries.  The probability of a given ticket
winning does NOT depend on the number of tickets purchased -- after
all, how else could you have a round when no one has a winning
ticket?  The size of the pot in the NEXT round (if no one wins) might
depend on the number of tickets sold in this round, depending on the
lottery rules, but that doesn't affect the expected gain on THIS
round.

The only thing that does impact the expected gain on this round is the
fact that more people buying tickets means there's a greater chance
someone else picks the wining numbers also.  Since the pot is split
among all players who pick the winning numbers, this affects the
expected gain, but not the probability of a win.

--Robert


Re: lotteries and elections

2004-08-31 Thread AdmrlLocke
I've been discussing with my undergradute students the rationality of voting.
People might get other benefits from voting besides thinking that their one
vote can influence the outcome.  Some people feel a civic pride in voting.
Others vote to prevent others from telling them they don't have a right to
complain, a comment complaint lobbed at people who don't vote.  I like the
excitement of going to the polls and seeing everyone else all keyed up about the
election.  Some people pick a candidate and then cheer for him or her, and then
feel good about that candidate winning the election the way they would a race
horse or a sports team.  For some people voting might serve as a social
outlet--something to do around other people instead of just staying home.  What other
reasons might people vote besides believing they can influence the outcome?

David Levenstam


In a message dated 8/31/04 12:31:37 PM, [EMAIL PROTECTED] writes:

Does anyone know if there is a correlation between a person's
willingness to buy lottery tickets, and his willingness to vote in large
elections (where the chances of any vote being pivotal is tiny)?

A simple explanation for both of these phenomena, where people choose
to do things with apparently negative expected payoff, is misunderstanding
or miscalculation of probabilities. This theory would predict a positive
correlation. I'm curious if anyone has done a survey or experiment to test
this.


Re: lotteries and elections

2004-08-31 Thread Aschwin de Wolf
 I've been discussing with my undergradute students the rationality of
voting.
 People might get other benefits from voting besides thinking that their
one
 vote can influence the outcome.  Some people feel a civic pride in voting.
 Others vote to prevent others from telling them they don't have a right
to
 complain, a comment complaint lobbed at people who don't vote.

A problem with many of these reasons is that they do partly rely on the
illusion that their vote does matter! Expressive voting is not a
completely separate issue. Why feel pride in participating in an irrational
system? Why not express your political views in a more efficient way than
voting? etc.

-aschwin


Re: lotteries and elections

2004-08-31 Thread AdmrlLocke
In a message dated 8/31/04 8:36:29 PM, [EMAIL PROTECTED] writes:

A problem with many of these reasons is that they do partly rely on the

illusion that their vote does matter! Expressive voting is not a

completely separate issue. Why feel pride in participating in an irrational

system? Why not express your political views in a more efficient way than

voting? etc.

It's irrational only if the cost exceeds the benefit.  If someone gains a
benefit from voting that exceeds their opportunity cost, then it's not irrational
for them to vote.  As far as other means, they mostly have  much higher
opportunity costs and might not actually have much more likelihood of affecting the
outcome.