naa a22 4500 510735649 CHVBK 20180411083009.0 cr unu---uuuuu 180411e20130201xx s 000 0 eng 10.1007/s11573-012-0642-4 doi (NATIONALLICENCE)springer-10.1007/s11573-012-0642-4 Overviewing the transition of Markowitz bi-criterion portfolio selection to tri-criterion portfolio selection [Elektronische Daten] [Ralph Steuer, Maximilian Wimmer, Markus Hirschberger] Over 60years ago, Markowitz introduced the mean-variance efficient frontier to finance. While mean-variance is still the predominant model in portfolio selection, it has endured many criticisms. One serious one is that it does not allow for additional criteria. The difficulty is that the efficient frontier becomes a surface. With it now possible to compute such a surface, we provide an overview on how Markowitz's risk-return (bi-criterion) portfolio selection can be extended to tri-criterion portfolio selection. With a focus on the geometry of the extension, many graphs are used to illustrate. Springer-Verlag Berlin Heidelberg, 2013 Efficient frontiers nationallicence Nondominated surfaces nationallicence Parametric quadratic programming nationallicence Portfolio selection nationallicence Stability sets nationallicence Hyperbolic platelets nationallicence Steuer Ralph Department of Finance, University of Georgia, Athens, 30602-6253, Georgia, USA aut Wimmer Maximilian Department of Finance, University of Regensburg, 93040, Regensburg, Germany aut Hirschberger Markus Munich Re, 80802, Munich, Germany aut Journal of Business Economics Springer-Verlag 83/1(2013-02-01), 61-85 0044-2372 83:1<61 2013 83 11573 https://doi.org/10.1007/s11573-012-0642-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11573-012-0642-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Steuer Ralph Department of Finance, University of Georgia, Athens, 30602-6253, Georgia, USA aut NATIONALLICENCE 700 1- Wimmer Maximilian Department of Finance, University of Regensburg, 93040, Regensburg, Germany aut NATIONALLICENCE 700 1- Hirschberger Markus Munich Re, 80802, Munich, Germany aut NATIONALLICENCE 773 0- Journal of Business Economics Springer-Verlag 83/1(2013-02-01), 61-85 0044-2372 83:1<61 2013 83 11573 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer