We will extend Reed's Semi-Strong Perfect Graph Theorem by proving that unbreakable C 5-free graphs diierent from a C 6 and its complement have unique P 4-structure.

The process of gradually finding an economic equilibrium, the so called tâtonnement process, is investigated in this paper. In constrast to classical general equilibrium modelling, where a central institution with perfect information about consumer preferences and production technologies (“Walrasian auctioneer”) organizes the economy, we simulate this process with learning consumer and producer...

The Wonderful Lemma, that was first proved by Roussel and Rubio, is one of the most important tools in the proof of the Strong Perfect Graph Theorem. Here we give a short proof of this lemma.

In this paper, which is a continuation of the discrete time paper [4], we develop a theory for continuous time stochastic control problems which, in various ways, are time inconsistent in the sense that they do not admit a Bellman optimality principle. We study these problems within a game theoretic framework, and we look for Nash subgame perfect equilibrium points. For a general controlled con...

The semirandom graph process is a single player game in which the initially presented an empty on $n$ vertices. In each round, vertex $u$ to independently and uniformly at random. then adaptively selects $v$ adds edge $uv$ graph. For fixed monotone property, objective of force satisfy this property with high probability as few rounds possible. We focus problem constructing perfect matching part...

nowadays entrepreneurship is known as the engine of growth and development in societies and organizations indeed, the process of establishing a career is based on an innovative idea. in this paper, we have sought to review the concept and the importance of entrepreneurship in the current world economic situation.  additionally, we discuss the role of religions in entrepreneurship and (with emph...

A procedure is presented that synthesizes fractional crystallization separation processes to obtain pure solids from multi-component solutions. The method includes a procedure to generate a network flow model to identify alternative process designs for fractional crystallization. The main advantage of this systematic procedure with respect to other reported procedures is using non-equilibri...