Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4637298 | Applied Mathematics and Computation | 2006 | 8 Pages |
Abstract
This paper discusses some scalarization techniques and one application of the multi-objective optimization problem into a mathematical economics. A function of social welfare and a concept of Pareto optimality in a finite pure exchange economy are considered. Here it is proved that a set of Pareto optimality allocations is path-connected and uncountable, if the utility functions of economical agents are monotone, concave and strictly quasi-concave. In the end, it is proved that there exist non-negative weights and Pareto optimality allocations such that the social welfare function has maximum not proving continuity of this function.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Zdravko Dimitrov Slavov,