We study the classical problem of trade in two-dimensional Euclidean space. It is known that there no efficient rule for this model compatible with dominant strategy incentives, is, and strategy-proof rule. observe that, addition to incentive constraints, informational constraints are also unavoidable social planners. Thus, we impose requirement finite dimensional messages be sufficient informa...

Additive and multiplicative aggregations of ratio scale preferences are frequently used in multi-criteria decision making models. In this paper, we compare the advantages and limitations of these two aggregation rules by exploring only their fundamental properties after ratio scaled local priorities and criteria weights have been successfully generated from the decision maker. The comparisons o...