Μαθηματικά μοντέλα αποφάσεων
Αδαμίδου, Αγγελική Ν.
A mathematic model helps initially the economist to determine the precise terms. The economist should declare the underlying assumptions before embarking on complex thoughts. Immediately from the start, in precise nature of abstraction the economist is working so that it is explicit not only in the mind of economists, but in the mind of each person that reads the work. Accordingly, the discussion on the real world is related with models that it is likely to be altered. It even can be possible to translate a theoretical model in to statistics formulas, so that its validity can be tested with elements from the real world. In the 1st chapter we present the model of choice of consumer. In the substance, the preference of consumer in order to describe his choices. We describe a very simple problem of mathematic model of choice of consumer. This model removes a lot of choices, ignoring enough aspects of these choices, which under other circumstances could be considered very important. In the 2nd chapter we analyse the basic idea of economic theory which is the comprehension and expression of the relation between economic variables. Also, we study the behaviour of variables where the change of variable influences the price of the other. In the 3rd chapter we examine the use of derivatives in certain economic relations. For example, we study the maximisation or the minimisation of certain economic entities. This means that we study the basic information with regard to a function like the first, the second derivative and information that is hidden upon them. In the 4th chapter we go over the Chain Rule, which describes the derivative of complex function with regard to derivatives of relative function. In the end of this chapter, we use complex mathematic types in order to calculate the derivative of function f (x) = x m/n. This function is used in a lot of economic models, as the functions of production. The 5th and last chapter focuses in the exponent functions and their derivatives. It also describes the reverse function of exponent function - the logarithm, which changes multiplicative relations into additional relations between the economic variables in order to be able to work more easily.