At the end of their debate with R. H. Str&, F. M. Fisher and J. Rothenberg make a plea for going beyond the Pareto optimality criterion in analyzing issues in welfare eoonomies.l The present study is in the spirit of this plea: an attempt is made in this paper to derive bounds on the optimal distribution of income under a particular set of value judgments. Because of a general reluctance of eco...

In this paper we obtain secondand first-order optimality conditions of Kuhn-Tucker type and Fritz John one for weak efficiency in the vector problem with inequality constraints. In the necessary conditions we suppose that the objective function and the active constraints are continuously differentiable. We introduce notions of KTSP-invex problem and second-order KTSP-invex one. We obtain that t...

We study a nonzero-sum game of two players which is a generalization of the antagonistic noisy duel of discrete type. The game is considered from the point of view of various criterions of optimality. We prove existence of ε-equilibrium situations and show that the ε-equilibrium strategies that we have found are ε-maxmin. Conditions under which the equilibrium plays are Pareto-optimal are given.

Pattanaik and Peleg (1986) imposed regularity, ex-post Pareto optimality and independence of irrelevant alternatives on a probabilistic voting procedure and showed that: (i) the distribution of coalitional power for decisiveness in two-alternative feasible sets is subadditive in general, but additive if the universal set has at least four alternatives; and (ii) the distribution of coalitional p...

preemptively scheduling a set of independent jobs with release time on one processor is a historical problem. in this paper, the same problem has been considered in which objective is to minimize the mean flow time. to prepare a perfect branch-and-bound, some optimality conditions have been represented and they have been compared with the optimality conditions which have been proposed before. o...

In this paper, we give some new generalized convexities with the tool–right upper-Diniderivative which is an extension of directional derivative. Next, we establish not only Karush-KuhnTucker necessary but also sufficient optimality conditions for mathematical programming involving new generalized convex functions. In the end, weak, strong and converse duality results are proved to relate weak ...

Reallocating resources to get mutually beneficial outcomes is a fundamental problem in various multi-agent settings. In the first part of the paper we focus on the setting in which agents express additive cardinal utilities over objects. We present computational hardness results as well as polynomial-time algorithms for testing Pareto optimality under different restrictions such as two utility ...

This paper studies the stability and optimality of a distributed consensus protocol for n-player repeated non cooperative games under incomplete information. At each stage, the players choose binary strategies and incur in a payoff monotonically decreasing with the number of active players. The game is specialized to an inventory application, where fixed costs are shared among all retailers, in...

Solvent–steam mixture is a key factor in controlling the economic efficiency of the solvent-aided thermal injection process for producing bitumen in a highly viscous oil sands reservoir. This paper depicts a strategy to quickly provide trade-off operating conditions of the Expanding Solvent–Steam Assisted Gravity Drainage (ES-SAGD) process based on Pareto-optimality. Response surface models are...