Broadway and Dynamic Ticket Pricing

This story in the New York Times describes how dynamic ticket pricing is helping some Broadway shows stay profitable despite an economic downturn and decreasing attendance.

Variable ticket pricing allows theaters to change prices for seats according to week-to-week or even day-to-day trends that represent fluctuations in supply-and-demand.

According to the article, the theater industry experimented with dynamic pricing during some touring company productions and collected enough data to build a pricing model that could predict weekly box-office demand.  The success of the model allowed them to implement dynamic pricing on Broadway, where they can now adjust prices to optimize sales and profits.

Dynamic pricing has long been used in the airline industry, where ticket prices seem to fluctuate almost randomly as a function of time.  And last year, even the San Francisco Giants experimented a bit with dynamic pricing for their baseball games!

An interesting, and innovative, way to optimize revenue!

Black Friday Mathematics

I thought I’d do a little analytic research on Black Friday spending, so I punched up Wolfram Alpha to see what it could tell me.

http://www.wolframalpha.com/input/?i=average+consumer+spending+U.S.

Although W|A doesn’t seem to have economic data tied to the specific date, it shows that retail spending in the U.S. is about $386 billion per month, or around $13 billion per day.

A report from Businessweek claims that about $20 billion was spent last year on Black Friday.  This suggests that around $7 billion more is being spent today!

The increase may be even greater.  In its data, Wolfram Alpha includes spending in some categories (motor vehicle and parts dealers–$65.68 billion per month;  food and beverage stores–$51.65 billion per month) that might not be counted as “holiday spending.”   There may be a more targeted metric for measuring the success of Black Friday; researching, or creating, this measure could be a fun little project.

One nice little feature from Wolfram Alpha was the graph of consumer spending.  At the end of each calendar year, there is a sudden spike followed by a steep drop.  It’s not too hard to tell the accompanying story for that data!

More on NFL Scoring

lions-johnsonAs the Detroit Lions prepare for their first compelling Thanksgiving Day game in 15 years, I thought I would revisit my pre-season hypothesis that scoring in the NFL would be down in 2011 due to the new kickoff rule.

A quick recap of my argument:  the new kickoff rule will result in more touchbacks, which will reduce overall starting field position, which will result in fewer points being scored.  An elementary analysis suggested that per-game scoring would be down by about 2 points per game.

The first two weeks of the season saw record-setting offensive production:  scoring was actually up by 2.5 points per game!  But now, with more than half the 2011 NFL season in the books, the average points-per-game is 44.07.  During the 2010 NFL season, the average points-per-game was around 44.16.

A TV analyst recently suggested that scoring decreases as the season progresses, due to factors like weather and injury.  Not only does this give me another idea for a math and sports analysis, it also gives me hope that perhaps my pre-season prediction may still come true!

Related Posts

 

4.74 Degrees of Separation

This story in the New York Times summarizes a recently published study about interconnectedness on Facebook.

https://www.nytimes.com/2011/11/22/technology/between-you-and-me-4-74-degrees.htmlhttp://goo.gl/sqIVT

A computational analysis of the 721 million worldwide Facebook users shows that the average distance between two people is about 4.74 “friends”.   Roughly speaking, given anyone in the world on Facebook, a friend of your friend is likely to be friends with a friend of their friend.

An amazing result!  And a cool application of graph and network theory.  Now the questions becomes “What can we do with this knowledge?”

Jackson Pollack and Fluid Dynamics

This is an interesting article about Harvard mathematician L. Mahadevan, who studied the physics of how the artist Jackson Pollock created his work.

http://www.scimag.com/news-DA-Jackson-Pollock-Artist-and-Physicist-070511.aspx

The author contends that Pollock was essentially experimenting with, and learning, fluid dynamics as he developed his artistic technique.

The drips, drops, and coils seen in Pollack’s work are the result of careful attention to the properties of the various liquids used, and the height and angle of application.

According to the article, Pollock was experimenting with “coiling fluids” quite some time before the first scientific papers appeared on the subject!

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