Abstract We investigate the relationship between centralized and decentralized collective demand models applied to consumption within a household with multiple individuals. The centralized program is described by a Bergsonian representation of the household utility function and a household...

In this paper we present an application for a multiobjective optimization problem. The objective functions of the primal problem are the risk and the expected pain associated to a portfolio vector. Then, we present a Lagrangian dual problem for it. In order to formulate this problem, we...

We examine the properties ensuring that individual expenditure functions, derived within the context of the collective household model, are legitimate individual cost functions. Our curvature results are important for the characterization of collective demand functions as well and for the...

This paper compares dierent centralized collective models for maximizing the utility of a household from the point of view of the single members that compose it. We describe the collective maximization program as a vector optimization problem and analyze the household welfare and Pareto...

The paper deals with vector constrained extremum problems. A separation scheme is recalled; starting from it, a vector Lagrangian duality theory is developed. The linear duality due to Isermann can be embedded in this separation approach. Some classical applications are extended to the...

In this paper we consider a vector optimization problem; we present some scalarization techniques for finding all the vector optimal points of this problem and we discuss the relationships between these methods. Moreover, in the linear case, the study of dual variables is carried on by means of...