@MISC{Popovici_orderedmodel, author = {Norina Popovici}, title = {Ordered Model of an Exchange Economy}, year = {} }

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Abstract

An importat role in market economies, as ordered economies models, is played by the preference relationship and by the utility function. These notions are studied in the followings on the bases of a build and analyzed demand-offer model, placed within the context of a finitedimensional exchange economy. 1 The Stocks-Prices ordered space The number of mathematical models used in economy is impressive. An optimal command problem on national level may be a model of economical growth and consume. Optimum problems for entreprise profit, assurance problems, or even problems concerning the financial chaos, all have as mathematical bases optimum problems, riscs functions and models, or fractals [1, 2, 5]. Despite this, we are concerned on economical equilibrium using linear ordered spaces. In the following, we consider the real situation in which only a finite number of products are produced, exchanged or consumed. Such a model was first presented in [4]. The stocks set has to be considered as having a triple structure; linear, ordered and topological one. This means: 1. a linear structure, since by summing two stocks or by multiplying a stock with a scalar we still obtain also stocks. 2. an ordered structure: if two stocks x, y are in the relation x>y,this means that ”x is bigger than y ” and this is taken as negative input for production (because it supposes consuming) and as output having positive sign.