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In this paper we will constructively prove the existence of an equilibrium in a competitive economy with sequentially locally non-constant excess demand functions. And we will show that the existence of such an equilibrium in a competitive economy implies Sperner’s lemma. We follow the Bishop style constructive mathematics. Keywords—Sequentially locally non-constant excess demand functions, Equ...

The main goal of this study was to investigate the way of affecting of water in production of cucumber. From aspect of econometrics, mutual relationships of production function and expenses have been analyzed in which Translog cost function has been used. This function has been estimated using the conditional input demand functions, the shefard theorem, chemical fertilizer, animal fertilizer, l...

The optimal management of distributed generation (DG) enhances the efficiency of the distribution system; On the other hand, increasing the interest of customers in optimizing their consumption improves the performance of DG. This act is called demand side management. In this study, a new method based on the intelligent algorithm is proposed to optimal operate the demand side management in the ...

A problem persists in measuring the welfare effects of simultaneous price and income changes because the Hicksian compensating variation (CV) and equivalent variation (EV), while unique, are based on unobservable (Hicksian) demand functions, and observable (Marshallian) demand functions do not necessarily yield a unique Marshallian consumer's surplus (CS). This paper proposes a solution by a Ta...

The purpose of this paper is to present some results about the determinants of book-loans from local public libraries in Norway. The investigation is based on quasi-demand functions where travel time, as an indicator of the shadow price of book-loans, average personal income, information on the book stock, and on other media available at the library, are main explanatory variables. We use panel...

A sequence of prices and demands are rationalizable if there exists a concave, continuous and monotone utility function such that the demands are the maximizers of the utility function over the budget set corresponding to the price. Afriat [1] presented necessary and sufficient conditions for a finite sequence to be rationalizable. Varian [30] and later Blundell et al. [5, 6] continued this lin...

This paper applies conventional tests (Johansen, 1995) and new tests (Chao and Phillips,1999) for cointegration to long{run money demand functions using Canadian data from 1872 to 1997. If cointegration is found, recently proposed tests by Quintos (1997) for stability of the cointegration rank are carried out. The paper focuses on two spans of data: one span starting in 1872, the other in 1957 ...

The neoclassical price adjustment equation stipulates that prices move toward equilibrium at a rate that is proportional to the excess demand, i.e., the difference between the demand and supply divided by the demand (at that price). However, the demand and supply are generally nonlinear functions of price. We show that the information on this nonlinear variation of demand and supply leads to a ...