This paper provides an axiomatic characterization of two rules for comparing alternative sets of objects on the basis of the diversity that they offer. The framework considered assumes a finite universe of objects and an a priori given ordinal quadernary relation that compares alternative pairs...

This paper provides an axiomatic characterization of two rules for comparing alternative sets of objects on the basis of the diversity that they offer. The framework considered assumes a finite universe of objects and an a priori given ordinal quadernary relation that compares alternative pairs...

We explore in this paper the axiomatic approach to the problem of sharing the revenue from museum passes. We formalize two models for this problem on the grounds of two different informational bases. In both models, we provide axiomatic rationale for natural rules to solve the problem. We,...

Economic sciences have known a spectacular evolution in the last century; beginning to use axiomatic methods, applying mathematical instruments as a decision-making tool. The quest to formalization needs to be addressed from various different angles, reducing entry and operating formal costs,...

Kojima and Manea (Econometrica 78(2):633–653, <CitationRef CitationID="CR8">2010</CitationRef>) present two characterizations of when an allocation rule corresponds to the agent-proposing deferred acceptance (DA) algorithm for some substitutable priority rule of the objects being assigned. Building on their results we characterize when...</citationref>

We offer complete characterizations of the equilibrium outcomes of two prominent agenda voting institutions that are widely used in the democratic world: the amendment, also known as the Anglo-American procedure, and the successive, or equivalently the Euro-Latin procedure. Our axiomatic...

A unique bargaining solution satisfies restricted monotonicity, independence of irrelevant alternatives, independence of equivalent utility representations, and symmetry—the disagreement solution. It is also the unique bargaining solution that satisfies independence of irrelevant alternatives,...