Demands for care are met not only by professional care services but as well by family members and friends, especially by partners and children. These personal resources are not equally available to everyone. Moreover, there may be differences in preferences when choosing between alternative care...

We study thep olytopes of binary n-strings that encode (positive) integers that are not divisible by a particular positive integer p - the indivisibility polytopes, as well as the more general "clipped cubes". Also, we discuss a potential application to factoring. Finally, we present some...

In Nash bargaining problem, due to fairness concerns of players, instead of maximizing the sum of utilities of all players, an implementable solution should satisfy some axioms or characterizations. Such a solution can result in the so-called price of fairness, because of the reduction in the...