Minimal Essential Sets and Essential Components of the Equilibria of Production Economies
-
摘要: 进一步研究了生产经济平衡的稳定性,讨论了生产经济平衡“集合值”的稳定性,证明了生产经济平衡点集至少存在一个极小本质集且每一极小本质集是连通的,从而能够给出本质连通分支的存在性。Abstract: The purpose of this paper is to give a further study on the stability of production economies. The new results were given by considering the "set-valued" stability of equilibria. It is proved that there exists at least one minimal essential set of equilibrium points of the economy and every minimal essential set is connected. Based on these results, it is easy to prove that there is at least one essential component of the set of equilibrium points.
-
Key words:
- production economy /
- minimal essential set /
- essential component
-
[1] Dierker E.Topological Methods in Walrasian Economics[M].Berlin:Springer,1974. [2] Tan K K, Yu J, Yuan X Z.Stability of production economies[J].J Austral Math Soc Ser A,1996,61(1);162-170. [3] Hillas J.On the definition of the strategic stability of equilibria[J].Econometrica,1990,58(6);1365-1390. [4] Jiang J H.Essential fixed points of the multivalued mappings[J].Scientia Sinica,1962,11(3);293-298. [5] Jiang J H.Essential component of the set of fixed points of the multivalued mappings and its application to the theory of games[J].Scientia Sinica,1963,12(7);951-964. [6] Kohlberg E, Mertens J F.On the strategic stability of equilibria[J].Econometrica,1986,54(5);1003-1037. [7] Yu J, Xiang S W.On essential components of Nash equilibrium points[J].Nonlinear Anal, Theory, Methods, and Applications,1999,38(1);259-264. [8] Debreu G.Existence of competitive equilibria[A], In:Arrow K J,Intrilligator M D Eds.Handbook of Mathematical Economies[C].Vol.Ⅱ.Amsterdam:North-Holland,1982. [9] Tarafdar E, Thompson B.On the existence of the price equilibrium by different methods[J].Comment Math Univ Carolin,1993,34(2);413-417. [10] Debreu G.Economies with a finiteset of equilibria[J].Econometrica,1970,38(1);387-392. [11] Engelking R.General Topology[M].Berlin:Heldermann Verlag,1989.
计量
- 文章访问数: 1876
- HTML全文浏览量: 48
- PDF下载量: 552
- 被引次数: 0