This article is connected with the conceptual foundations of the theory of economic competition, as well as with the respective effect of the concept of the new solution, derived from the mathematical theory of games. We will discuss the three main principle of distribution in the economic...

This article is connected with the conceptual foundations of the theory of economic competition, as well as with the respective effect of the concept of the new solution, derived from the mathematical theory of games. We will discuss the three main principle of distribution in the economic...

Consider a group of people confronted with a dichotomous choice (for example, a yes or no decision). Assume that we can characterize each person by a probability, p <Subscript>i</Subscript>, of making the ‘better’ of the two choices open to the group, such that we define ‘better’ in terms of some linear...</subscript>

We provide elementary proofs of Scarf's theorem on the non-emptiness of the core and of the K-K-M-S theorem, based.on Kakutani's fixed point theorem. We also show how these proofs can be modified to apply a coincidence theorem of Fan instead of Kakutani's fixed point theorem, for some additional...

We consider a multi-player, cooperative, transferable-utility, symmetric game (N, ) and associated convex covers, i.e., convex games (N, ~) such that ~ \geq . A convex cover is efficient iff ~(&emptyv;) = (&emptyv;) and ~(N) = (N); and minimal iff there is no convex cover ~ \neq ~ such that ~ \leq ~....