In two-sided matching problems, we consider “natural” changes in preferences of agents in which only the rankings of current partners are enhanced. We introduce two desirable properties of matching rules under such rank-enhancements of partners. One property requires that an agent who...

In this paper, we consider a natural procedure of decision-making, called a “Grouping Choice Method”, which leads to a kind of bounded rational choices. In this procedure a decision-maker (DM) first divides the set of available alternatives　into some groups and in each group she chooses...

In this paper, we consider a natural procedure of decision-making, called a “Grouping Choice Method”, which leads to a kind of bounded rational choices. In this procedure a decision-maker (DM) first divides the set of available alternatives into some groups and in each group she chooses the...

We introduce the concept of a universal social ordering, defined on the set of pairs of an allocation and a preference profile of any finite population. It is meant to unify evaluations and comparisons of welfare (living standards) for individuals and populations of possibly different sizes and...

The authors study fair allocation in economies with indivisible goods. They look for subsolutions of the no-envy solution satisfying the property of consistency which says that the desirability of an allocation for some economy is unaffected by the departure of some of the agents with their...