Social scientists, governments, and the casino industry have all emphasized the need for casino patrons to "gamble responsibly." Strategies for responsible gambling include self-imposed time limits and loss limits on gambling. Such strategies help prevent people from losing more than they can afford and may help prevent excessive gambling behavior. Yet, loss limits also make it more likely that casino patrons leave when they are losing. Oddly, the literature makes no mention of "win limits" as a potential approach to responsible gambling. A win limit would be similar to a loss limit, except the gambler would leave the casino upon reaching a pre-set level of winnings. We anticipate that a self-imposed win limit will reduce the gambler's average loss and, by default, also reduce the casino's profit. We test the effect of a self-imposed win limit by running slot machine simulations in which the treatment group of players has self-imposed and self-enforced win and loss limits, while the control group has a self-imposed loss limit or no limit. We find that the results conform to our expectations: the win limit results in improved player performance and reduced casino profits. Additional research is needed, however, to determine whether win limits could be a useful component of a responsible gambling strategy.