@booklet {davidassaf-rpiwtmhsc2001,
	title = {Ratio Prophet Inequalities When the Mortal Has Several Choices},
	howpublished = {Discussion Papers},
	year = {2001},
	month = {2},
	publisher = {Annals of Applied Probability 12 (2002) 972-984.},
	abstract = {Let X_i be non-negative, independent random variables with finite expectation, and X*_n=maxX_1,...,X_n. The value EX*_n is what can be obtained by a "prophet". A "mortal" on the other hand, may use k>=1 stopping rules t_1,...,t_k, yielding a return of E[max_i=1,...,k X_t_i]. For n>=k the optimal return is V^n_k(X_1,...,X_n)=supE[max_i=1,...,k X_t_i] where the supremum is over all stopping rules t_1,...t_k such that P(t_i},
	url = {/files/dp236.pdf},
	author = {David Assaf, Larry Goldstein and Ester Samuel-Cahn}
}
