Hirschberger, Markus and Steuer, Ralph E. and Utz, Sebastian and Wimmer, Maximilian and Qi, Yue (2013) Computing the nondominated surface in tri-criterion portfolio selection. Operations Research 61 (1), pp. 169-183.
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Computing the nondominated set of a multiple objective mathematical program has long been a topic in multiple criteria decision making. In this paper, motivated by the desire to extend Markowitz portfolio selection to an additional linear criterion (dividends, liquidity, sustainability, etc.), we demonstrate an exact method for computing the nondominated set of a tri-criterion program that is all linear except for the fact that one of its objectives is to minimize a convex quadratic function. With the nondominated set of the resulting quad-lin-lin program being a surface composed of curved platelets, a multi-parametric algorithm is devised for computing the platelets so that they can be graphed precisely. In this way, graphs of the tri-criterion nondominated surface can be displayed so that, as in traditional portfolio selection, a most preferred portfolio can be selected while in full view of all other contenders for optimality. Finally, by giving an example for socially responsible investors, we demonstrate that our algorithm can outperform standard portfolio strategies for multi-criterial decision makers.
|Institutions:||Business, Economics and Information Systems > Institut für Betriebswirtschaftslehre > Lehrstuhl für Finanzierung (Prof. Dr. Gregor Dorfleitner)|
|Keywords:||Multiple criteria decision making, multi-criteria optimization, nondominated surfaces, portfolio selection, multi-parametric quadratic programming|
|Subjects:||300 Social sciences > 330 Economics|
|Refereed:||Yes, this version has been refereed|
|Created at the University of Regensburg:||Partially|
|Owner:||Dr. Maximilian Wimmer|
|Deposited On:||19 Oct 2012 08:07|
|Last Modified:||15 Mar 2013 17:36|
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