Why do some sports stars retire at their peak?
The law of supply says that when the price of a good rises, all else equal, the quantity supplied of that good also rises. Applied to labor markets, the more people are paid, the more they work. There鈥檚 no surprise there. But there is a case where the law of supply seems to be violated in labor markets: the case of the .
The economist models the decision to work as a trade-off between working and leisure. Work and leisure are substitute uses of a person鈥檚 time, and his income is the implicit price of taking leisure. As a person鈥檚 income rises, it becomes more costly not to work, and the person responds by working more. This is the substitution effect of an income increase.
But leisure can also be thought of as some kind of a normal good. As a person鈥檚 income rises, all else equal, he would respond by taking more leisure. This is the income effect, and it at least partially offsets the substitution effect.
In a person鈥檚 mind, the income and substitution wage a constant battle. When the law of supply holds, the substitution effect outweighs the income effect. But as a person鈥檚 income rises past some threshold, he feels his income is sufficiently high to allow him to, in effect, 鈥減urchase鈥� more leisure time, and he responds by working less. Past this threshold, the income effect outweighs the substitution effect.
Off the top of my head, I can think of a couple of examples where a star athlete has retired while still at the top of his game, and men who may be examples of the backwards bending supply curve: and .
Another one has recently reiterated his desire to retire at the end of his is the Cubs鈥� Carlos Zambrano (fyi, the link also contains embedded audio for a vlog, so readers may want to turn down their speakers).
Enjoying his best run of pitching in more than two years, the always-controversial Carlos Zambrano said after winning his ninth game of the season Wednesday that he will retire when his contract ends after the 2012 season.
鈥淚 told you the other day, this will be my last contract,鈥� Zambrano said. 鈥淭his will be my last contract. I won鈥檛 be playing anymore. I don鈥檛 want to play anymore. Life is short. Sometimes you miss things with your family, like very important people, like my daughter. Sometimes you miss things in life because of baseball that you shouldn鈥檛 miss. I want to be there any moment for my daughter and my family. Baseball takes a lot of time away from us.鈥�
If he follows through on his current plan to retire, Zambrano (aka Z and The Big Z) will no-doubt be criticized by fans and in the media. But this decision is really nothing new. Is Z the first person to take early retirement? Besides, who can criticize a man for wanting to spend more time with his family after his contract runs out especially one as wealthy as The Big Z?
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