Quasi-indifference classes in utility theory
Quasi-indifference classes in utility theory
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效用理论中的拟无差异类
DOI：
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发表时间：
1995
期刊：
影响因子：
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通讯作者：
A. Beardon
中科院分区：
文献类型：
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作者：
A. Beardon
尽管定义在n-空间的正正交Ω上的严格单调偏好关系的无差别类并不总是分离Ω，但人们总是可以构造出这样的拟无差别类。在许多情况下，准无差别类与无差别类重合，但一般而言，两个准无差别类可以相交。有人断言，由于经济原因，这种情况通常不会发生；在这里，我们从数学的角度来检验这一断言。
SummaryAlthough the indifference classes of a strictly monotonie preference relation defined on the positive orthantΩ ofn-space do not always separateΩ, one can always construct quasi-indifference classes which do. In many cases the quasi-indifference classes coincide with the indifference classes but, in general, two quasi-indifference classes can intersect. It has been asserted that, on economic grounds, this does not normally happen; here, we examine this assertion from a mathematical point of view.