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Economic Growth and Sustainable Development
澳门新葡8455最新网站:2013年12月23日 00:00 点击数:

报告人:周青龙

报告地点:澳门新葡8455最新网站317室

报告澳门新葡8455最新网站:澳门新葡8455最新网站317室

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报告摘要:

This report is about sustainable development and time inconsistency in economic growth theory. It investigate an infinite-horizon problems in the one-dimensional calculus of variations, arising from the Ramsey model of endogeneous economic growth. Following Chichilnisky, we introduce an additional term, which models concern for the well-being of future generations. We show that there are no optimal solutions, but that there are equilibrium strateges, i.e., Nash equilibria of the leader-follower game between successive generations. To solve the problem, we approximate the Chichilnisky criterion by a biexponential criterion, we characterize its equilibria by a pair of coupled differential equations of HJB type, and we go to the limit. We find all the equilibrium strategies for the Chichilnisky criterion. The mathematical analysis is difficult because one has to solve an implicit differential equation in the sense of Thom.

主讲人概况:

周青龙,南开大学陈省身数学研究所博士。先后师从于南开大学龙以明院士及挪威及奥地利双院士 Ivar Ekeland 教授。周青龙博士主要从事数理经济,动力系统及金融数学的学习与研究;其研究工作得到了国内外同行的高度评价。

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