Progressivity, inequality reduction and merging-proofness are three well-known axioms in taxation. We investigate implications of each of the three axioms through characterizations of several families of taxation rules and their logical relations. We also study the preservation of these axioms...

We investigate how to extend bankruptcy rules to the general setting in which agents' claims may refer to different issues. We show that the proportional rule is the only one whose extensions according to two natural procedures yield the same outcomes

This paper provides a characterization of the classical Talmud rule for bankruptcy problems by means of a new property, called securement, that imposes a lower bound on the awards that agents obtain. This property stipulates that no agent holding a feasible claim will get less than one nth of...