Let be an infinite, strictly increasing sequence of non-negative integers. It is known (Horváth [2007]) that cannot hold from a point on. We will prove this result by using roots of unity, without integral. --------------------------------------------------- Legyen nemnegatív egészeknek egy...

This paper contributes to the axiomatization of additive rules for ranking sets of objects under the psychological principle of categorization. Firstly we proceed with the case where the elements in the sets are categorized into at most three groups, namely good (with value 1), neutral (with...

We introduce three definitions. First, we let a basement be a set of nodes and actions that supports at least one assessment. Second, we derive from an arbitrary basement its implied plausibility (i.e. infinite-relative-likelihood) relation among the game's nodes. Third, we say that this...

We introduce three definitions. First, we let a "basement" be a set of nodes and actions that supports at least one assessment. Second, we derive from an arbitrary basement its implied "plausibility" (i.e. infinite-relative-likelihood) relation among the game's nodes. Third, we say that this...