Existence, uniqueness and efficiency of equilibrium in hedonic markets with multidimenstional types
Existence, uniqueness and efficiency of equilibrium in hedonic markets with multidimenstional types
复制标题
多维类型享乐市场均衡的存在性、唯一性和有效性
DOI：
--
复制
发表时间：
2008
期刊：
影响因子：
--
通讯作者：
I. Ekeland
中科院分区：
文献类型：
--
作者：
I. Ekeland
我们研究享乐市场中的均衡，此时消费者和供应商都有保留效用，并且效用函数与价格是可分离的。有一种不可分割的善，它具有不同的品质；每个消费者购买 0 或 1 单位，每个供应商出售 0 或 1 单位。消费者类型、供应商类型和质量可以是离散的，也可以是连续的，在这种情况下，它们可以是多维的。价格起着双重作用：它们将一些代理商排除在市场之外，并且它们与剩余的代理商成对匹配。我们定义均衡价格和均衡分布，证明均衡存在，研究均衡价格和分布在多大程度上是唯一的，并证明均衡是有效的。在存在类型连续体并且满足广义 Spence-Mirrlees 条件的特定情况下，我们证明了纯均衡的存在，其中需求分布实际上是需求函数，并且我们展示了它在多大程度上是唯一的。证明依赖于凸分析，并注意用例子来说明理论。
We study equilibrium in hedonic markets, when consumers and suppliers have reservation utilities, and the utility functions are separable with respect to price. There is one indivisible good, which comes in different qualities; each consumer buys 0 or 1 unit, and each supplier sells 0 or 1 unit. Consumer types, supplier types and qualities can be either discrete of continuous, in which case they are allowed to be multidimensional. Prices play a double role: they keep some agents out of the market, and they match the remaining ones pairwise. We define equilibrium prices and equilibrium distributions, and we prove that equilibria exist, we investigate to what extend equilibrium prices and distributions are unique, and we prove that equilibria are efficient. In the particular case when there is a continuum of types, and a generalized Spence-Mirrlees condition is satisfied, we prove the existence of a pure equilibrium, where demand distributions are in fact demand functions, and we show to what extent it is unique. The proofs rely on convex analysis, and care has been given to illustrate the theory with examples.
影响因子：
8.2
作者：
ROSEN, S
通讯作者：
ROSEN, S