英文标题：
《Multidimensional matching》
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作者：
Pierre-Andr\\\'e Chiappori, Robert McCann, Brendan Pass
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最新提交年份：
2016
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英文摘要：
We present a general analysis of multidimensional matching problems with transferable utility, paying particular attention to the case in which the dimensions of heterogeneity on the two sides of the market are unequal. A particular emphasis is put on problems where agents on one side of the market are multidimensional and agents on the other side are uni-dimensional, we describe a general approach to solve such problems. Lastly, we analyze several examples, including an hedonic model with differentiated products, a marriage market model where wives are differentiated in income and fertility, and a competitive variation of the Rochet-Chon\\\'e problem. In the latter example, we show that the bunching phenomena, observed by Rochet and Chon\\\'e in the monopoly context, do not occur in the competitive context
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中文摘要：
我们对具有可转移效用的多维匹配问题进行了一般性分析，特别关注了市场双方异质性的维度不相等的情况。特别强调的是，当市场一方的代理人是多维的，而另一方的代理人是一维的时，我们描述了解决此类问题的一般方法。最后，我们分析了几个例子，包括具有差异化产品的享乐模型、妻子在收入和生育率方面存在差异的婚姻市场模型，以及罗切特-琼问题的竞争性变化。在后一个例子中，我们展示了Rochet和Chonèe在垄断环境中观察到的聚束现象，在竞争环境中不会发生
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分类信息：

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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一级分类：Mathematics 数学
二级分类：Analysis of PDEs 偏微分方程分析
分类描述：Existence and uniqueness, boundary conditions, linear and non-linear operators, stability, soliton theory, integrable PDE\'s, conservation laws, qualitative dynamics
存在唯一性，边界条件，线性和非线性算子，稳定性，孤子理论，可积偏微分方程，守恒律，定性动力学
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一级分类：Mathematics 数学
二级分类：Optimization and Control 优化与控制
分类描述：Operations research, linear programming, control theory, systems theory, optimal control, game theory
运筹学，线性规划，控制论，系统论，最优控制，博弈论
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