In a seminal paper, Kolm [14] introduces the principle diminishing transfer. This principle requires that a transfert from an individual with income x to one with income x - D(D 0) has a greater impact on social welfare the lower x is. On the other hand Mehran [15] and Kakwani [11] introduced...

The theory of auctions of a single object generalizes to a situation where identical objects are sold either sequentially or simultaneously but individuals can only buy one object. In this context, I will present a survey of the main results regarding the ranking of auctions based on revenue,...