Duality Theory for Infinite Horizon Convex Models

作者: Martin L. Weitzman

DOI: 10.1287/MNSC.19.7.783

关键词:

摘要: Often it is desirable to formulate certain decision problems without specifying a cut-off date and terminal conditions which are sometimes felt be arbitrary. This paper examines the duality theory that goes along with kind of open-ended convex programming models frequently encountered in mathematical economics operations research. Under set general axioms, necessary sufficient for infinite horizon optimality derived. The proof emphasizes close connection between dynamic programming. Dual prices required properties inductively constructed each period as supports state evaluation function.

参考文章(5)
Bezalel Peleg, Efficiency prices for optimal consumption plans Journal of Mathematical Analysis and Applications. ,vol. 29, pp. 630- 638 ,(1970) , 10.1016/0022-247X(70)90102-2
W. R. S. Sutherland, On Optimal Development in a Multi-Sectoral Economy: the Discounted Case The Review of Economic Studies. ,vol. 37, pp. 585- 589 ,(1970) , 10.2307/2296487
D. Gale, ON OPTIMAL DEVELOPMENT IN A MULTI-SECTOR ECONOMY. The Review of Economic Studies. ,vol. 34, pp. 1- 18 ,(1967) , 10.2307/2296567
Roy Radner, Dynamic Programming of Economic Growth Palgrave Macmillan, London. pp. 111- 141 ,(1967) , 10.1007/978-1-349-08461-6_4