PL homotopy metheds are effective methods to locate zerces(or fixed points) of highly nonlinearmappirgs. Due to the Jexicographical system, the methods are feasible without exceptions Thispaper presents a geemetrical ...PL homotopy metheds are effective methods to locate zerces(or fixed points) of highly nonlinearmappirgs. Due to the Jexicographical system, the methods are feasible without exceptions Thispaper presents a geemetrical interpretation of the without-exception feasibility.展开更多
1 Model of Economic Equilibria In the model of a finite economy of pure exchange with n+1 commodities, since only relative prices are essential, the price adjustment can be expressed as a continuous self mapping f of ...1 Model of Economic Equilibria In the model of a finite economy of pure exchange with n+1 commodities, since only relative prices are essential, the price adjustment can be expressed as a continuous self mapping f of S<sup>n</sup>={p∈R<sup>n+1</sup>:p≥O, e<sup>T</sup>p=1}. Thus a fixed point of f is just an equilibrium展开更多
基金The work is supported in part by the Foundation of Zhongshan University, Advanced Research Centre and in part by the National Natural Science Foundation of China
文摘PL homotopy metheds are effective methods to locate zerces(or fixed points) of highly nonlinearmappirgs. Due to the Jexicographical system, the methods are feasible without exceptions Thispaper presents a geemetrical interpretation of the without-exception feasibility.
基金This work is supported in part by the Foundation of Zhongshan University Advanced Research Centre and in part by the National Natural Science Foundation of China.
文摘1 Model of Economic Equilibria In the model of a finite economy of pure exchange with n+1 commodities, since only relative prices are essential, the price adjustment can be expressed as a continuous self mapping f of S<sup>n</sup>={p∈R<sup>n+1</sup>:p≥O, e<sup>T</sup>p=1}. Thus a fixed point of f is just an equilibrium
