Wicksell on Edgeworth's Tax Paradox
考察了威克塞尔在《政治经济学讲义》最后一版中对埃奇沃思税收悖论的详细讨论，展示了他如何用基础代数简洁地总结这一数学问题。
It is well known that Wicksell's interest in mathematical economics, despite a somewhat ambivalent attitude towards it, continued almost until the time of his death.1 His mathematical discussion of Akerman's problem, and his extensive review of Bowley's Mathematical Groundwork of Economics are now quite familiar.2 However, it does not seem to have been recognized that Wicksell provided a brief but detailed treatment of Edgeworth's famous tax in the last edition of his Lectures on Political Economy.3 The purpose of this paper is therefore to examine Wicksell's discussion of the paradox in some detail. It will be seen that Wicksell gave a remarkably succinct summary of a mathematical problem which is not entirely straightforward, yet he adapted the model in such a way that only basic algebra is required. First, the nature of the paradox and the later contributions to the debate are discussed briefly below. Section II then reproduces much of Wicksell's statements from his Lectures (1934); this is necessary to support the formal analysis in Section III.