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One of their most recent publications is **Tax progression and inequality of income distribution**. Which was published in journal **Journal of Mathematical Economics**.

More information about ** Wolfgang Eichhorn** research including statistics on their citations can be found on their Copernicus Academic profile page.

AbstractThe Lorenz curve of income after tax is known to dominate the one before tax for all given income distributions if and only if average tax liability is monotone increasing with income. This note provides a general formulation of the equivalence in both, some weak and some strong sense.

SummaryThe paper is concerned with the so-called “axiomatic” (“statistical”, “mechanistic”) approach to the construction of price indexes or purchasing power parities. In this branch of index theory the theoretical foundations of both intertemporal and interspatial price comparisons are built on certain basic assumptions, called axioms, which are meant to be so general as to be satisfied by all relevant “mechanistic” price indexes/purchasing power parities. Whereas, historically, much controversy existed in the literature about the usefulness, consistency, and independence of certain sets of requirements for, generally speaking, index functions, today many propositions or theorems shed light on the various interrelations between a great number of different sets of properties for index functions. Also several characterizations of certain well-known price indexes/purchasing power parities have been published and offer an excellent chance to judge the quality of the characterized function. In this context characterization means the deduction of a certain index function from a set of given conditions such that the function in question not only meets the required conditions but also represents the only function that satisfies the conditions.Section 1 of the paper gives a short introduction into the “axiomatic approach”. Section 2 then offers an axiomatic definition of the concept of a mechanistic price index/purchasing power parity. Also, the independence of the definitional set of axioms is proven. A few well-known examples of price indexes/purchasing power parities as well as basic implications of the definitional set of axioms are presented in Section 3. Further criteria and implications are introduced in Section 4 which are partially used in Section 5 to characterize Fisher's “Ideal Index” and the so-called “Cobb-Douglas Index”. It is obvious that conflicting requirements lead to inconsistent sets of conditions. Problems relating to such inconsistencies are analysed in the final Section 6.

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