Edgeworth equilibria, fuzzy core, and equilibria of a production economy without ordered preferences
Edgeworth equilibria, fuzzy core, and equilibria of a production economy without ordered preferences
复制标题
埃奇沃斯均衡、模糊核心和无有序偏好的生产经济均衡
DOI：
10.1016/0022-247x(90)90262-e
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发表时间：
1990
影响因子：
1.3
通讯作者：
M. Florenzano
中科院分区：
文献类型：
--
作者：
M. Florenzano
对于一个典型定义的经济体，埃奇沃思均衡是一个可达到的分配，其r倍重复属于原始经济体的r倍复制品的核心，对于任何正整数r。如果联盟的定义被扩大，以允许参与的代理人与属于合理的区间[0，l]的比率，如果偏好是凸的，埃奇沃思均衡也可以被定义为一个可达到的分配，不能阻止一个联盟与合理的参与率。一个模糊联盟是一个联盟，其参与率可以采取任何值在真实的区间[0，11。模糊核是指不能被模糊联盟阻塞的所有可达到的分配的集合，在适当的条件下，定义在有限维商品空间中的有序偏好经济的瓦尔拉斯分配集与埃奇沃思均衡集的重合是Debreu和Scarf的一个结果。本文的目的是将这一结果推广到Hausdorff线性拓扑空间中没有有序偏好的生产经济。
For an economy typically defined, an Edgeworth equilibrium is an attainable allocation whose r-fold repetition belongs to the core of the r-fold replica of the original economy, for any positive integer r. If the definition of coalitions is enlarged in order to allow a participation of the agents with a rate belonging to the rational interval [0, l] and if the preferences are convex, an Edgeworth equilibrium can also be defined as an attainable allocation which cannot be blocked by a coalition with rational rates of participation. A fuzzy coalition is a coalition whose rates of participation can take any value in the real interval [0, 11. The fuzzy core is the set of all attainable allocations which cannot be blocked by a fuzzy coalition.The coincidence under suitable conditions between the set of Walrasian allocations and the set of Edgeworth equilibria for an economy with ordered preferences defined in a finite dimensional commodity space is a result by Debreu and Scarf [7]. The aim of this paper is to extend this result to production economies without ordered preferences defined in a Hausdorff linear topological space.