企业竞争与市场演变的数理分析

摘要

基于产品效用的数理分析，发现企业竞争力取决于其产品 开发与 功能创新能力，据此定义了量度企业竞争内在能量的函数E(F)；并 证明 ，只要E(F)＞1，则任何初始条件处于极端劣势的企业，均能在同 类功能不变产品的市场范围，通过竞争战胜所有对手而取得50%以上的市场份额。%On the basis of mathematical analysis for utilit y of a product of satisfying individual demand, this paper discovers that a firm 's competitiveness depends on its ability of product development and functions i nnovations and defined the function E(F) which is used to measure the internal competitiveness of the firm, then proves that a firm th at is in absolute inferior position in the early stage can defeats competitors a nd gain morn than 50% of share in a competitive market where other firms' produc t functions are constant if E(F)＞1.