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About an optimum model of market equilibrium

机译:关于市场均衡的最优模型

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The determination of the equilibrium price within the context of the economic analysis of the supply - demand relation, represents in fact, a particular case of solving the tninmax equation from uncooperative games theory. Thus, considering two decision makers and a zero-sum game, we shall have the following problem: maxminf(x,y) = minmaxf(x,y). This papers deals with some optimal properties of thernx y y xrnequilibrium price; these properties, which are presented using an original approach, lead us to important economic interpretations. The originality of the paper consists of the modality used in order to determine the equilibrium price starting from the elasticity of supply and demand functions. In case the analytical expressions of the supply and demand functions remain unknown, we specify an original proceeding in order to determine the equation of price dynamics by using a method which is appropriate for higher order linear differential equations.
机译:实际上,在供求关系的经济分析范围内确定均衡价格,实际上是从不合作博弈理论求解tninmax方程的一种特殊情况。因此,考虑两个决策者和一个零和博弈,我们将面临以下问题:maxminf(x,y)= minmaxf(x,y)。本文讨论了价格均衡的一些最优性质。这些使用原始方法呈现的属性使我们获得了重要的经济解释。本文的独创性包括从供给和需求函数的弹性开始确定均衡价格所使用的方式。如果供求函数的解析表达式仍然未知,我们将使用适合于高阶线性微分方程的方法来确定原始价格,以便确定价格动态方程。

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