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Journals and Conferences
Generalizations of Pareto optimality have been studied by a number of authors. In finite dimensions such work is exemplified by Corley [ 5 ], DaCunha and Polak , Goeffrion [131, Hartley [151, Lin [171, Tanino and Sawaragi [211, Wendell and Lee [221, and Yu [231. The optimization of functions into possibly infinite dimensions has been considered by… (More)
state conditions under which there exist solutions to x = f(x) for the singlevalued function f or to Y E F(y ) for the set-valued mapping F. The prototype of the former is the contraction mapping theorem, while that of the latter is the Kakutani fixed point theorem. These results, as well as generalizations, applications, and other references, are surveyed… (More)
Multiple objective linear programming, also known as the linear vector maximization problem, has been studied by a number of authors. In particular, its duality theory has been considered by Philip , Isermann , Gray and Sutherland , Brumelle , and Ponstein . Neither the symmetry nor all the relationships of the duality theory of conventional… (More)
An alternative to the Nash Equilibrium (NE) is presented for two-person, one-shot prescriptive games in normal form, where the outcome is determined by an arbiter. The NE is the fundamental solution concept in noncooperative game theory. It is based on the assumption that players are completely selfish. However, NEs are often not played in practice, so we… (More)
A dual to a problem of optimally partitioning a given set of points in k-dimensiona! Euclidean space is presented. The dual possesses many properties similar to the dual in linear programming.
A new family of recursive power-series distributions involving the generalized hypergeometric function is proposed. The probability generating and moment generating functions are given; and extensions of the Poisson, geometric, negative binomial, log-series, and generalized Waring distributions are presented as examples.
Efficient points are obtained for cone-ordered maximizations in n R using the method of scalarization. Various scalarizations are presented for ordering cones in general and then for the important special case of polyhedral cones. For polyhedral cones, it is shown how to find vectors in the positive dual cone that are needed for a scalarized objective… (More)
A scalar equilibrium (SE) is defined for n-person prescriptive games in normal form. When a decision criterion (notion of rationality) is either agreed upon by the players or prescribed by an external arbiter, the resulting decision process is modeled by a suitable scalar transformation (utility function). Each n-tuple of von Neumann-Morgenstern utilities… (More)
iv ACKNOWLEDGEMENTS The dissertation work would not have been possible without the support, guidance, and advice from my supervising professors Dr. Their courses have benefited me greatly during my doctoral studies. Also, thanks to all my friends in the COSMOS lab Wen, as well as Jawahar Veera in the Robotics lab. They made my life in COSMOS fulfilling both… (More)