英文标题：
《Multilateral Index Number Systems for International Price Comparisons:
  Properties, Existence and Uniqueness》
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作者：
Gholamreza Hajargasht and Prasada Rao
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最新提交年份：
2018
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英文摘要：
  Over the past five decades a number of multilateral index number systems have been proposed for spatial and cross-country price comparisons. These multilateral indexes are usually expressed as solutions to systems of linear or nonlinear equations. In this paper, we provide general theorems that can be used to establish necessary and sufficient conditions for the existence and uniqueness of the Geary-Khamis, IDB, Neary and Rao indexes as well as potential new systems including two generalized systems of index numbers. One of our main results is that the necessary and sufficient conditions for existence and uniqueness of solutions can often be stated in terms of graph-theoretic concepts and a verifiable condition based on observed quantities of commodities.
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中文摘要：
在过去50年中，提出了一些多边指数系统，用于空间和跨国价格比较。这些多边指数通常表示为线性或非线性方程组的解。在本文中，我们提供了可用于建立Geary-Khamis、IDB、Neary和Rao指数以及潜在的新系统（包括两个广义指数系统）存在唯一性的充要条件的一般定理。我们的主要结果之一是，解的存在性和唯一性的充要条件通常可以用图论概念和基于商品观测量的可验证条件来表示。
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分类信息：

一级分类：Economics        经济学
二级分类：Theoretical Economics        理论经济学
分类描述：Includes theoretical contributions to Contract Theory, Decision Theory, Game Theory, General Equilibrium, Growth, Learning and Evolution, Macroeconomics, Market and Mechanism Design, and Social Choice.
包括对契约理论、决策理论、博弈论、一般均衡、增长、学习与进化、宏观经济学、市场与机制设计、社会选择的理论贡献。
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一级分类：Economics        经济学
二级分类：General Economics        一般经济学
分类描述：General methodological, applied, and empirical contributions to economics.
对经济学的一般方法、应用和经验贡献。
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一级分类：Quantitative Finance        数量金融学
二级分类：Economics        经济学
分类描述：q-fin.EC is an alias for econ.GN. Economics, including micro and macro economics, international economics, theory of the firm, labor economics, and other economic topics outside finance
q-fin.ec是econ.gn的别名。经济学，包括微观和宏观经济学、国际经济学、企业理论、劳动经济学和其他金融以外的经济专题
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