We study the problem of determining memberships to the groups in a Boolean algebra. The Boolean algebra is composed of basic groups (e.g., “J” and “K”) and the other groups that are derived from basic groups through the conjunction, disjunction, or negation operations (e.g., “J and...

We consider a setting where a coalition of individuals chooses one or several alternatives from each set in a collection of choice sets. We examine the computational complexity of Pareto rationalizability. Pareto rationalizability requires that we can endow each individual in the coalition with...

This note provides a methodological contribution to the allocation of joint revenues obtained from passepartouts. In a passepartout system a group of service providers offers a passepartout that allows its owners the use of specified services for an unlimited number of times during a fixed...

This paper identifies a fundamental challenge in the development of input-output databases of the world economy intended for analysis of alternative scenarios with a model of the world economy. Primary data sources for individual economies generally do not use the same sectoral classification...

Many economic and social situations can be represented by a digraph. Both axiomatic and iterativemethods to determine the strength or power of all the nodes in a digraph have been proposed inthe literature. We propose a new method, where the power of a node is determined by both thenumber of its...

Extensive multilingualism is one of the most important and fundamental principles of the European Union. However, a large number of official languages (currently 23) hinders communication and imposes substantial financial and legal costs. We address the merits of multilingualism and formulate an...