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EDITOR
The causal effect of income on health has important policy
implications, and yet its identification is dogged by the problem of
income not being randomly assigned. Researchers continue to ignore
this, including Rodgers in his editorial,1 but the idea
that the problem can be overcome by exploiting lottery winnings as a
"natural experiment"2 is superficial because winners
are not randomly selected from the population since playing is not a
random event.
Although playing is popular, it is far from universal. The probability of winning is directly proportional to the number of tickets bought, so winners, on average, will be disproportionately heavy players.
Survey evidence suggests that players and non-players differ
systematically in terms of their observable characteristics such as
age, education, and sex.3 Indeed, expenditure survey data show that, compared with non-players, players insure less, smoke more,
work less, have more modest pension provision, are more likely to
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