We introduce and study Maker-Breaker positional games on random graphs. Our goal is to determine the threshold probability p F for the existence of Maker's strategy to claim a member of F in the unbiased (one-on-one) game played on the edges of the random graph G(n, p), for various target families F of winning sets. More generally, for each probability above this threshold we study the smallest...

In this paper we examine the problem of nding the optimal solution of the stochastic dynamic growth problem with in nite time horizon for a decision maker described in the prospect theory (PT decision maker) that has asymmetric attitude with respect to a reference level of consumption. We compare the optimal solution of the PT decision maker with the optimal solution of the decision maker with ...

There is an interesting and instructive problem with Richard Fumerton’s acquaintance theory of noninferential justification. Fumerton’s explicit account requires acquaintance with the truth-maker of one’s belief and yet he admits that one can have noninferential justification when one is not acquainted with the truthmaker of one’s belief but instead acquainted with a very similar truth-maker. O...

This paper describes a new Preference-based Interactive Evolutionary (PIE) algorithm for multi-objective optimization which exploits the advantages of both evolutionary algorithms andmultiple criteria decision making approaches. Our algorithm uses achievement scalarizing functions and the potential of population based evolutionary algorithms to help the decision maker to direct the search towar...