@booklet {yosefrinott-pifagg2011,
	title = {Probability Inequalities for a Gladiator Game},
	howpublished = {Discussion Papers},
	year = {2011},
	month = {4},
	abstract = {Based on a model introduced by Kaminsky, Luks, and Nelson (1984), we consider~a zero-sum allocation game called the Gladiator Game, where two teams of gladiators engage in a sequence of one-to-one fights in which the probability~of winning is a function of the gladiators{\textquoteright} strengths. Each team{\textquoteright}s strategy consist the allocation of its total strength among its gladiators. We find the Nash equilibria of the game and compute its value. To do this, we study interesting majorization-type probability inequalities concerning linear combinations of Gamma random variables.},
	url = {/files/dp571.pdf},
	author = {Yosef Rinott, Marco Scarsini, Yaming Yu}
}
