Some new results on generalized additive games

Some New Results on Stochastic Orderings between Generalized Order Statistics

In this paper we specify the conditions on the parameters of pairs of gOS’s under which the corresponding generalized order statistics are ordered according to usual stochastic ordering, hazard rate ordering, likelihood ratio ordering and dispersive ordering. We consider this problem in one-sample as well as two-sample problems. We show that some of the results obtained by Franco et al. ...

Generalized additive games

A Transferable Utility (TU) game with n players specifies a vector of 2 − 1 real numbers, i.e. a number for each non-empty coalition, and this can be difficult to handle for large n. Therefore, several models from the literature focus on interaction situations which are characterized by a compact representation of a TU-game, and such that the worth of each coalition can be easily computed. Some...

Stochastic asymmetric Blotto games: Some new results

Some New Results on Policy Limit Allocations

Suppose that a policyholder faces $n$ risks X1, ..., Xn which are insured under the policy limit with the total limit of l. Usually, the policyholder is asked to protect each Xi with an arbitrary limit of li such that ∑ni=1li=l. If the risks are independent and identically distributed with log-concave cumulative distribution function, using the notions of majorization and stochastic orderings, ...

Some Results on Additive Number Theory1

Let 0<ai<a2< ■ ■ -be any infinite sequence of integers. Denote by N(di, n) the number of a^n. I conjectured that to every sequence atthere corresponds a sequence bj of density 0 (i.e., such that lim„=0O (l/n)N(bj, n) = 0) so that every sufficiently large integer is of the form a,-+6yLorentz2 in a recent paper proved this conjecture; in fact, he showed that there exists a sequence bj with the re...