David Dworin Online

Archive for the 'Equation of the Week' category

Equation of the Week: The Formula For Success

October 14, 2007 11:34 pm

Equation of the Week: Opportunity Cost of Prostitution

March 15, 2007 5:35 pm

The not-so-weekly Equation of the Week returns with a formula for determining whether or not a person will engage in prostitution:

[(δU/δL) / (δU/δC) | Sp=0] ≤ w - [(δU/δr) / (δU/δC) | S = 0]

Where U=utility, L=leisure, C=goods and services consumed, S=quantity of prostitution sold, w=wage for prostitutes, and r=your reputation.

In other words:

An individual will start to sell prostitution if the price for selling the first amount of prostitution, minus the costs of a worsened reputation for doing so, exceeds the shadow price of leisure evaluated at zero prostitution sold.

Reputation, or more broadly social costs, may be one thing that individuals consider when selecting a profession, but to say it’s the only thing?

The full paper is here, via this Improbable Research Column.

Equation of the Week: Associate’s Participation Constraint

October 23, 2006 12:21 am

From the paper referenced in this post, the partcipation constraint of associates in large profit-maximizing partnerships:
Associate's Participation Constraint

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