@booklet {hart-agwcfcltaa2014,
	title = {Allocation Games with Caps: From Captain Lotto to All-Pay Auctions},
	howpublished = {Discussion Papers},
	year = {2014},
	month = {11},
	abstract = {A Lotto game is a two-person zero-sum game where each player chooses a distribution on nonnegative real numbers with given expectation, so as to maximize the probability that his realized choice is higher than his opponent{\textquoteright}s. These games arise in various competitive allocation setups (e.g., contests, research and development races, political campaigns, Colonel Blotto games). A Captain Lotto game is a Lotto game with caps, which are upper bounds on the numbers that may be chosen. First, we solve the Captain Lotto games. Second, we show how to reduce all-pay auctions to simpler games expenditure games using the solution of the corresponding Lotto games. As a particular application we solve all-pay auctions with unequal caps, which yield a significant increase in the seller{\textquoteright}s revenue (or, the players{\textquoteright} efforts).},
	url = {http://www.ma.huji.ac.il/hart/abs/lotto.html},
	author = {Sergiu Hart}
}
