Archive for May, 2007

Congestion Pricing, Part II

Thursday, May 10th, 2007 -- By ET

I wrote about the congestion pricing yesterday, and here are some follow-on thoughts.

In a paper published by Barro and Romer in 1987 (American Economic Review) they actually developed a model to discuss this problem:

ski.jpg

The intuition of the paper is that queues may have an effect on the allocation of resources that has nothing to do with the cost of time, and queues help to achieve an efficient allocation of the resources.

In the case of per-ride pricing, in equilibrium, the total capacity of rides, Jx[/tex] equals the total number demanded qN[/tex], that is

 Jx=D(P)\cdot F_{s}\left(\phi [D(P)]-PD(P)\right)=D(P)\cdot N(P,s)[/tex]</p>
<p>In the case of fixed-fee pricing, equilibrium condition for people to be indifferent between areas is</p>
<p>\phi (q_j)-\pi_{j} =\phi(q_k)-\pi_{k}.[/tex]

Differentiating, and noticing \phi^{'}(x/n_j)=D^{-1}(x/n_j),[/tex] (by <a href=Leibnitz’s formula) we can get

” />\frac{dn_j}{d\pi_j}\cdot \frac{\pi_j}{n_j}=-\frac{\pi_j}{D^{-1}(x/n_j)\cdot (x/n_j)}[/tex]

Maximization of revenue requires the elasticity of n_j[/tex] with respect to \pi_j[/tex] to be -1, so in equilibrium \frac{\pi_j}{q_j}=D^{-1} (q_j)[/tex]. Define the left hand side to be the effective price per ride \hat {P_j}[/tex], the condition for equilibrium in the areas is still

$$ Jx=D(\hat{P})\cdot N(\hat{P},s)[/tex]

Compare this with the previous one, we know both types of pricing reach the efficient allocation of the resource.

There can be structural operational cost differences between the two types of pricing. So which type is selected also depends on the operational costs. This congestion pricing (pay per use) in NYC is probably enabled by new technology.

The reduction in costs of monitoring and charging the pay-per-use fee is probably the determining factor in Bloomberg’s selection of this pricing scheme. In the NYT article, it was mentioned that the payment will be made by prepaid cards, etc. Actually, in my last ISMT101 class some students presented possibilities to use RFID to charge tolls in these situations. Compared with the huge loss in value of congestion, the price of RFID tags is negligible.

Yet another story about successfully using new tech to solve efficiency issues. When can people realize that this is only a tip of the iceberg of unlimited uses of IT to improve our lives? Or in Google’s lingo: “the world will be a little bit better place for everyone of us.”

Ashley Line Art

Wednesday, May 9th, 2007 -- By ET

Phew, just to celebrate a fruitful day of working, I created two pictures of Ashley. From a photo.

Here they are:

Original

sq_ww.jpg

Line Art

ww_bw_line_art1.jpg

Instead of becoming a professor, I should be an artist, right?

Create Your Own Wall Paper

Wednesday, May 9th, 2007 -- By ET

sophia.jpg

Posters on the wall can make a big difference to the look of the house. I used to pay $20-30 at the MIT Bookstore, and the Harvard/MIT COOP to buy the posters. The problem with these pre-made posters (in addition to being very expensive) is that you may not always find a suitable picture for your wall.

Sometimes, I just want to put my own pictures on the wall, but in poster-size. Theoretically, it is not hard, I can just do some simple calculations, and do it in Photoshop. But it is still a cost, and as a result, I never did that.

I found this website http://www.blockposters.com/ that helps you to do it in 3 easy steps: upload, select how many pages you want it be, download a pdf file and print.

The drawback of this service is that the maximum size of the picture is limited to be 1MB, too small if I want to create a big wall paper. Hmm.. Maybe they can do something in the future…

Congestion Pricing

Wednesday, May 9th, 2007 -- By ET

There is an interesting story in New York Times yesterday: The mayor of New York City announced that a “Congestion Price” will be charged during peak hours on the most congested roads in NY.070507_talkcmntillu_p233.jpg

From NYT: The basic idea behind congestion pricing is simple: make motorists pay to use the busiest streets. Under the Mayors proposal, an invisible line would be drawn around Manhattan from Eighty-sixth Street south to the Battery. Vehicles crossing this line on weekdays between 6 A.M. and 6 P.M. would be charged a feeeight dollars for cars, twenty-one dollars for trucks. (Those travelling only within the congestion zone would pay half price, while taxis and livery cabs would be exempt.) The fees would be assessed electronically and could be paid either with a toll pass or over the phone or the Internet.

This seems a natural response to the problem of congestion: if you really need to use that street, that means you have something important to do, and potentially would rather pay more than other people to get a less congested street. However, look at many other congested places: Disney Land, Ski resorts, amusement parks, Movie theaters on the first day of blogbuster movie release. It seems that fixed price is a pretty standard practice. Why these places do not increase the price in peak season?

I went to watch Spider-Man 3 this Monday, in the whole cinema there were only a few people. So it felt like I had the movie in my living room, giving me the full freedom and preventing me from exposure to the germs in public areas… Should they increase the price or decrease the price on Monday? On one hand, I had a much better movie-going experience than people who went just one day before. I’d rather pay twice the price to enjoy this experience. Yet they did not over charge me. On the other hand, they can lower the price to attract more people to go on Mondays. Yet they did not lower the price. Maybe, these two effects can cancel out! That is: they do not need to lower the price to attract people, because people expected a better experience, and the people I saw on Monday already took this into consideration.

Hard Drive as Linux Server

Wednesday, May 9th, 2007 -- By ET

maxtor_shared_storage_plus.jpg I bought a Maxtor Shared Storage Plus external hard drive.

The installation is simple, you just connect it to the network, and you can find it when you install the driver.

There is a small CPU inside the box, and it supports simple Web Server, file sharing capabilities. So I was thinking maybe I can get it to do more things, like mysql, php, etc. Then it will be really working as a linux server. Turned out that someone has worked this out at http://openmss.org

OpenMSS is a replacement firmware for the Maxtor Shared Storage. Currently its a modified version of the original firmware which includes:

* The same as the original firmware.
* opt directory pointed to your harddrive for local system files.
* ipkg tool to install your own packages.
* Telnet enabled by default (can easly be disabled and replaced by ssh).

Current experimental packages on ipkg server:

busybox_1.0-8_mipsel.ipk
ctorrent_1.3.4-dnh1-1_mipsel.ipk
dropbear_0.46-4_mipsel.ipk
hddtemp_0.3-beta14_mipsel.ipk
kissd_0.12-1_mipsel.ipk
kissd_0.9-1_mipsel.ipk
lsof_4.75-1_mipsel.ipk
ncftp_3.1.8-1_mipsel.ipk
noip_2.1.1-1_mipsel.ipk
rsync_2.6.6_mipsel.ipk
strace_4.5.11-1_mipsel.ipk
unrar_3.51-1_mipsel.ipk
vsftpd_2.0.3-2_mipsel.ipk

In the discussion forum, there is one how-to to explain how to install MySQL, PHP, HTTP.

WordPress Plugin: Blogtimes Map

Saturday, May 5th, 2007 -- By ET

NOTE: The permanent address for this plugin is at http://blog.mikezhang.com/blogtimes_map/

What is it?

Blogtimes Map is a wordpress plugin that shows when the blogger posted in the last period of time, and allows a visitor to click on the blogtimes Image Map, and be taken to the corresponding posts. The original version of Blogtimes was written by Matt Mullenweg. This version of Blogtimes Map is also based on the hack of Martin Fitzpatrick‘s Blogtimes with icons.

Version 0.1 of the Plugin is now available for download! This version has been tested on WordPress 2.1.3, but from the way I write it, it should run on all versions.

This version contains the following improvements:

  • From zero to zero point one, a percentage increase of infinity! $$\frac{0.1-0}{0} \rightarrow \infty[/tex]

I do not ask for donations for writing this plugin, please email me and let me know you are using it, that will make me very happy.

Download Latest Version:

blogtimes_map.zip

Installation:

  1. Download the file, and unzip.
  2. Upload blogtimes_map.php to the /wp-content/plugins/ directory.
  3. Under your wordpress directory, create a subdirectory called “wp-images”, if it is not there.
  4. Change the property of the directory /wp-images/ to be world writable (in Linux, this means: chmod 666 wp-images)
  5. Upload blogtimes.png and blogtimes_icon.png to /wp-images/ directory, and allow world writable to blogtimes.png.
  6. Activate the plugin in your “Plugins” interface.
  7. Decide where to put the blogtimes picture on your website. Id recommend somewhere in the footer file (/wp-content/themes/default/footer.php) e.g. Add the following to where you want the figure to be displayed:
    <div align="center"><img border="0" src="/wp-images/blogtimes.png" alt="BlogTimes Map" usemap="#blogtimes_map"></div>
  8. You are all set now!

Screenshot:

BlogTimes Map

 

Hover your mouse over the icons will allow you to see the URLs of the corresponding posts and be linked to these particular posts.

 

Download the plugin here: blogtimes_map.zip

Research Trip

Thursday, May 3rd, 2007 -- By ET

Due to my presentation at ACM EC’07 Conference at San Diego. I’m planning this research trip.

I’ll spend a week in Chicago, then stay at the conference for 3 days. Will spend a few days in LA.

I’ll definitely visit some friends and co-authors along the way, and I plan to visit some schools on the route. If not limited by summer vacation, I’d love to give some talks at various schools nearby.

trip.jpg

Nice Video Ad with Nice Music

Wednesday, May 2nd, 2007 -- By ET

This is what a good ad should do.

Each scene refers to one situation matched to the characteristic of a constellation in the zodiac, a total of 12 of them.

Pisces, the fish (February 19 March 20).

Aries, the ram (March 21 April 19);

Taurus, the bull (April 20 May 20);

Gemini, the twins (May 21 June 21);

Cancer, the crab (June 22 July 22);

Leo, the lion (July 23 August 22);

Virgo, the virgin (August 23 September 22);

Libra, the balance (September 23 October 23);

Scorpius (also Scorpio), the scorpion (October 24 November 21);

Sagittarius, the archer (November 22 December 21);

Capricornus (also Capricorn), the goat (December 22 January 19);

Aquarius, the water bearer (January 20 February 18);

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Zero

Wednesday, May 2nd, 2007 -- By ET
YouTube Preview Image

How Smart is Smart?

Tuesday, May 1st, 2007 -- By ET

I guess more than in any other profession, in academia, being smart is very important.

This is true in many senses. First of all, without being smart, it is very hard to survive. There are only these many top journals, and there are so many equally smart people competing for the few locations of publication quota. It is often believed that quarterly journals are of higher quality in general, I have no question about that, this is something typical in the business world: when you want to differentiate yourself from other, limit the supply!

Second, people need to look smart in this profession. In addition to being researchers, we are often professors, and this scary title determines that we need to be the most professional, maybe more professional than the professionals. After all, we train the professionals.

These two factors might explain why we see some arrogant people in the academia. When I was on the job market, I met an assistant professor in an interview. He wrote some nice papers in my area, and I really looked forward to meet him. His first sentence to me was: “Why did not you quote my paper in your paper?” I thought it was a joke, so I joked: “because your papers are so seminal, we don’t really quote Pigou, Hayek these days, right?” The real reason was that his papers were not quite relevant to that particular paper of mine. He then asked about my research topics, and after listening for two to three sentences, he would say: “that is wrong, since you did not consider such and such.” My response was: “I did not really have time to explain the details, and I did consider these minor issues.” For one particular paper, he said instead of using your proposed mechanism, you can as well use this mechanism… I did not want to bother telling him that I was looking at a society’s social welfare point of view (instead of a firm’s view as his suggestion is related), so I simply said:”thank you for your suggestion, I’ll think about it when I go back.” Then he stopped me:”No, this is my idea, and you don’t have permission to use my idea in your paper.” I was speechless.

feynmanlecturesonphysics.jpgeinstein_head.jpgstephen_hawkingstarchild.jpg

Talking about being smart in academia, no other fields can compare with Physics and Mathematics. I personally worship many of the great economists, but aggregately as a discipline, Economics is not comparable with these two, not yet. In Physics, we can’t avoid mentioning Albert Einstein, Stephen Hawking and Richard Feynman. In a recent post on “cosmic variance“, it is discussed how this “Feynman-Einstein-Hawking smart” can drive away many smart people from doing physics. It is suggested that there are three possible ways to exit physics: 1) be F-E-H smart, 2) pretend to be F-E-H smart, and 3) drop out. While it is not impossible to be F-E-H smart, I’m sure these people represent only a small portion of people we see everyday. [ I remember my advisor Prof. Erik Brynjolfsson's (himself a super smart person) comment on Prof. Dimitris Bertsimas:"Bertsimas is probably the smartest guy on the east part of the MIT campus." I took his class Optimization, and liked his way of teaching. Then I read some of his papers, and books. It was totally impressive. There were many many smart people in the Economics department at MIT: Frank Fisher, Bengt Holmstrom, Jerry Hausman, Jean Tirole, Susan Athey, Paul Milgrom, etc. (I do not list Peter Diamond, Robert Solow, Paul Samuelson because I have not taken their classes.) They may not be F-E-H smart, but they are truly outstanding. For the rest of us, only two ways are left, you decide for yourself.

In terms of research, following Erik's advice, I choose to work on big issues at this stage. Instead of writing trashy quick papers to publish on borderline journals, I try to do something significant, in the end, at least I would have enjoyed the process.

In terms of personality, I had an interesting discussion with my colleague Sean. We observe that smart guys in our field are usually nicer than others. We tried to figure out the direction of causality: whether being smart is responsible for being nice, or vice versa. My take on this? A mean person can never truly be a master.

hilbert.jpgLet me end this long and messy story with a story, about Einstein and Hilbert.

Einstein was quite weak with mathematics (“weak” for the unbelievable work he has done, not weak as in “weak with mathematics”). Invited by great mathematician David Hilbert, he visited University of Gottingen and reported his research to people there. After a few weeks, Hilbert solved the famous field equations of general relativity, later to be called Einstein Field Equations. When people tried to persuade Hilbert to claim credit for the equations, he replied:”although the kids on the Gottingen streets know more than Einstein about solving equations, Einstein is the one discovered the theory of relativity.”


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