Conditions α and β are two well-known rationality conditions in the theory of rational choice. This paper examines the implication of weaker versions of these two rationality conditions in the context of solutions to non-convex bargaining problems. It is shown that, together with the standard...

In production economies with unequal labor skills, one of the intrinsic features for Nash implementation problems is the lack of information about individual skills, which makes the planner ignorant to the set of feasible allocations in advance of production. Given this intrinsic feature, the...

This paper discusses issues of axiomatic bargaining problems over opportunity assignments. The fair arbitrator uses the principle of "equal opportunity" for all players to make the recommendation on resource allocations. A framework in such a context is developed and the egalitarian solution to...

We provide three alternative characterizations of the proportional solution defined on <i>compact</i> and <i>comprehensive</i> bargaining problems with claims that are not necessarily convex. One characterization result is obtained by using, together with other standard axioms, two solidarity axioms. Another...

An extended social choice framework is proposed for the analysis of initial conferment of individual rights. It captures the intuitive conception of decisionmaking procedure as a carrier of intrinsic value along with the instrumental usefulness thereof in realizing valuable culmination outcomes....

We provide three alternative characterizations of the proportional solution defined on compact and comprehensive bargaining problems with claims that are not necessarily convex. One characterization result is obtained by using, together with other standard axioms, two solidarity axioms. Another...

We discuss political competition games between Left and Right parties, in which the policy space is two dimensional. One issue is the choice of proportional tax rate, and the second is the allocation of tax revenue between military policies and social welfare policies. On these political issues,...