IPL payments and CEOs

The winners of the IPL will earn $1.5MM. Works out to $75K for each player if there are 20 in the squad.

Sure, $75k is nothing to sneeze at. Unless you’ve been paid $500K to just show up and take part. The incentives aren’t sloped steeply enough. It is creditable that the stars are playing hard despite the relatively small prize.

For the true geeks reading this post…the formula that describes optimal effort in a tournament is (w1 – w2) = g(0)*c’(e). (w1 – w2) represents the increase in wealth due to winning. g(0) is a measure of how much randomness effects winning. c'(e) is a measure of effort. This formula is lifted from a seminal 1981 paper by Sherwin Rosen and Edward Lazear. If you really want to get under the skin of the formula, you can download the paper from jstor for $14.

The intuitive part of the result is that people work harder to win if the rewards of winning are greater. The fascinating part of this result is that the rewards for winning need to be greater in games with more randomness to extract the same effort. If you can win through pure luck, you’re less likely to work hard to win. So the reward needs to be bigger to get the same hard work.

This Sherwin Rosen paper - and the vast body of secondary research that his paper spawned - is often used to understand why CEOs get paid so much. Everybody in an organization works hard to become the CEO because the reward is so big. That hard work is what creates value for the organization, or for society, which is good. The reward goes to one CEO, one individual who basically got lucky, which feels unfair. Horrible dilemma. The only way to square this circle seems to be to design games with less randomness.