This paper presents results on the transitivity of the majority relation and the existence of a median representative ordering. Building on the notion of intermediate preferences indexed by a median graph, the analysis extends well-known results obtained when the underlying graph is a line. In...

Due to computing and communication facilities, formal procedures, often referred to as "algorithms," are now extensively used in public, economic, and social areas. These procedures, currently at the forefront of criticisms, share some features with mechanisms as defined by economists, following...