The classic fair cake-cutting problem [Steinhaus, 1948] is extended by introducing geometric constraints on the allocated pieces. Specifically, agents may demand to get their share as a square or a rectangle with a bounded length/width ratio. This is a plausible constraint in realistic...

In an experiment on a subjective claims problem we compare three unanimity bargaining procedures - the Demand, the Offer and the Exit variant - in terms of fairness and efficiency. To assess the fairness of the allocations obtained by these procedures, we evaluate them from a partial point of...

In a subjective claims problem several agents have contributed to the production of a cake which is to be divided among them. Since contributions are difficult to compare and the production function is nonlinear, agents'subjective evaluations of claims are likely to be conflicting. In a...