• Journal of applied mathematics & informatics
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• v.20 no.1_2
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• pp.209-224
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• 2006

This paper presents an optimization model with performance constraints for two kinds of graph elements layout problem. The layout problem is partitioned into finite subproblems by using graph theory and group theory, such that each subproblem overcomes its on-off nature about optimal variable. Furthermore each subproblem is relaxed and the continuity about optimal variable doesn't change. We construct a min-max problem which is locally equivalent to the relaxed subproblem and develop the first order necessary and sufficient conditions for the relaxed subproblem by virtue of the min-max problem and the theories of convex analysis and nonsmooth optimization. The global optimal solution can be obtained through the first order optimality conditions.

• Korean Journal of Cognitive Science
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• v.26 no.1
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• pp.69-96
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• 2015

This study investigates the history of economics for answering how the discipline originating from a sub-discipline of moral philosophy ended up being an amoral science. I show that economic theory, at its first stage of development, has retained a place in which morality could play a role within liberalist framework, but has removed the very place as it developed into its current image. I argue that it is the Walrasian paradigm that completed this amoralizing process in economics. One theoretical assumption of complete contract in the Walrasian paradigm, creates the institutional environment where economic agents are free from any moral consideration. I show that if the assumption is relaxed, the problem of economic agents' morality should reappear in the stage. Accepting the assumption of incomplete contract opens a way to restore the room for economic agents' moral considerations in economic discourses. Finally I breifly survey the recent discussions on the role of sympathy in economics.