理论论文

理论论文

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General Equilibrium With Uncertainty Loving Preferences

不确定性爱好偏好下的一般均衡

Econometrica · 2018, 86(5) · Aloisio Pessoa de Araujo、Alain Chateauneuf、Juan Pablo Gama、Rodrigo Novinski ·

未归类D 微观经济学

越来越多的经济学家正在发现远远超出古典经济学范畴的经济行为的经验证据与实验证据。特别是,经验证据(Jullien and Salanié (2000))与实验证据(Kahneman and Tversky (1979))支持了风险爱好、模糊爱好及相关行为在经济学中的重要性。然而,由于偏好的非凸性给证明均衡的存在性带来了困难,有限个体的一般均衡文献尚未对这类偏好进行分析。本文的主要结果给出了一组条件,在这些条件下此类经济中均衡存在。我们表明,总财富的不确定性,以及经济中风险厌恶者禀赋的某种占优,对 Arrow–Debreu 均衡的存在性发挥着作用。该结果可以扩展到 CEU(Choquet 期望效用)、平滑模糊(Smooth Ambiguity)与变分偏好(Variational Preference)意义下的模糊性。

英文原文

More and more economists are finding both empirical and experimental evidence of economic behavior that is well beyond classical economics. In particular, empirical evidence ( Jullien and Salanié (2000)) and experimental evidence ( Kahneman and Tversky (1979)) supported the importance of risk loving, ambiguity loving, and related behavior in economics. However, these types of preferences have not been analyzed in the general equilibrium literature with a finite number of agents because non-convexity of preferences creates difficulty in proving existence of equilibrium. The main result in this paper provides a set of conditions under which equilibrium exists in such economies. We show that uncertainty of aggregate wealth, as well as some dominance of the endowment of the risk averters in the economy, play a role in the existence of Arrow–Debreu equilibria. This result can be extended to ambiguity in the sense of CEU, Smooth Ambiguity, and Variational Preference.

Multiproduct-Firm Oligopoly: An Aggregative Games Approach

多产品企业寡头垄断:一种加总博弈方法

Econometrica · 2018, 86(2) · Volker Nocke、Nicolas Schutz ·

产业·创新·创业市场规制与反垄断

我们发展了一种加总博弈方法,用以研究多产品企业间的寡头价格竞争。我们引入了一类新的IIA需求系统,该类需求系统由离散/连续选择推导而来,并将CES需求与logit需求嵌套其中。与之相关的多产品企业定价博弈具有加总性,企业的最优价格向量可由一个一维充分统计量——ι加成——加以概括。我们利用嵌套不动点论证证明了均衡的存在性,并给出了均衡唯一性的条件。在均衡中,企业可能选择不提供某些产品。我们分析了定价扭曲,并给出了单调比较静态结果。在(嵌套)CES与logit需求下,得到另一种加总性质:决定企业绩效与竞争影响的所有相关信息都包含在该企业的一维类型之中。我们将模型扩展至非线性定价、数量竞争、一般均衡以及具有嵌套结构的需求系统。最后,我们讨论了该模型在并购分析与国际贸易中的应用。

英文原文

We develop an aggregative games approach to study oligopolistic price competition with multiproduct firms. We introduce a new class of IIA demand systems, derived from discrete/continuous choice, and nesting CES and logit demands. The associated pricing game with multiproduct firms is aggregative and a firm's optimal price vector can be summarized by a uni-dimensional sufficient statistic, the ι-markup. We prove existence of equilibrium using a nested fixed-point argument, and provide conditions for equilibrium uniqueness. In equilibrium, firms may choose not to offer some products. We analyze the pricing distortions and provide monotone comparative statics. Under (nested) CES and logit demands, another aggregation property obtains: All relevant information for determining a firm's performance and competitive impact is contained in that firm's uni-dimensional type. We extend the model to nonlinear pricing, quantity competition, general equilibrium, and demand systems with a nest structure. Finally, we discuss applications to merger analysis and international trade.