This paper addresses the problem of capturing nondominated points on convex Pareto frontiers, which are encountered in invex multi-objective programming problems. An algorithm to find a piecewise linear approximation of the nondominated set of convex Pareto frontier are applied. Index Term-Approximation, Nondominated points, Invex multi-objective problems, Block norms.

A stationary variant of the repeated prisoners’ dilemma in which the game frontier is a parallelogram is analyzed. By using the probabilistic cheap talk concept of [3], the discount factor becomes fungible, and for a critical value of the discount factor a unique Pareto-optimal and Pareto-dominant solution can be found. The relative bargaining power of the players can be quantified in terms of ...

We model high school students’ competition for college admissions as an all-pay contest with many players and prizes, and investigate how reducing the information revealed to colleges about students’ performance can improve students’ welfare in a Pareto sense. Less information reduces the assortativity of the resulting matching, which reduces welfare, but also mitigates competition and reduces ...

Although various investigations of Atkinson cycle have been carried out, distinct output power and thermal efficiencies of the engine have been achieved. In this regard, thermal efficiency, Ecological Coefficient of Performance (ECOP), and Ecological function (ECF) are optimized with the help of NSGA-II method and thermodynamic study.  The Pareto optimal frontier ...

Multicriteria decision support methods are common in engineering design. These methods typically rely on a summation of weighted attributes to accomplish trade-offs among competing objectives. It has long been known that a weighted sum, when used for multicriteria optimization, may fail to locate all points on a nonconvex Pareto frontier. More recent results from the optimization literature rel...

A methodology for quantitative assessment of new technologies is presented in the context of communications satellite constellations. The fundamental idea is that new technologies will shift the Pareto-optimal frontier when considering tradeoffs between performance, lifecycle cost and capacity. The suggested process first establishes a baseline by finding a Pareto optimal set of architectures o...