Existence and Uniqueness of Competitive Equilibrium in Input-Output Models with Neoclassical Production Functions

被引：0

作者：

Lavrin, O. I. ^{[1
,2
]}

机构：

[1] Moscow Inst Phys & Technol, Dolgoprudnyi 141701, Moscow Oblast, Russia

[2] Russian Acad Sci, Fed Res Ctr Comp Sci & Control, Dorodnicyn Comp Ctr, Moscow 119333, Russia

来源：

LOBACHEVSKII JOURNAL OF MATHEMATICS | 2025年 / 46卷 / 01期

基金：

俄罗斯科学基金会;

关键词：

Lagrange multipliers; Young transform; input-output model; production function; competitive equilibrium; fixed point theory; convex analysis; global uniqueness; YOUNG DUALITY; ORIGINS; BALANCE;

D O I：

10.1134/S1995080224608191

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, sufficient conditions for the existence and uniqueness of the equilibrium price index in the model of nonlinear input-output balances were established. These conditions were shown to be natural and applicable in practical settings. Moreover, for certain cases, it was possible to prove the Lipschitz continuity of the dependence of the equilibrium price index on the prices of primary resources. In the absence of capacity constraints, the uniqueness of the price index is ensured by the inability to completely substitute primary resources in the production functions.

引用

页码：264 / 272

页数：9

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