caa a22 4500 46316878X CHVBK 20180406164807.0 cr unu---uuuuu 170326e20070401xx s 000 0 eng 10.1007/s10957-007-9180-6 doi (NATIONALLICENCE)springer-10.1007/s10957-007-9180-6 Bifurcating DNS Thresholds in a Model of Organizational Bridge Building [Elektronische Daten] [J. Caulkins, G. Feichtinger, D. Grass, G. Tragler] A simple optimal control model is introduced, where "bridge building” positions are rewarded. Optimal solutions can be classified with regard to the two parameters (i)the cost of adjusting one's position in a social network and (ii)the discount rate. Acomplete analytical description is derived for the bifurcation lines in parameter space, which separate regions with different optimal behavior. These behaviors are always approaching the organizational boundary, always falling away from the boundary, and deciding based on one's initial state. The latter case gives rise to the emergence of so-called Dechert-Nishimura-Skiba (DNS) points describing optimal solution strategies. Furthermore the bifurcation from a single DNS point into two DNS points is analyzed in parameter space. All these strategies have a sensible interpretation within the context of the model. Springer Science+Business Media, LLC, 2007 Optimal control nationallicence Thresholds nationallicence Multiple equilibria nationallicence Political behavior nationallicence Caulkins J. H. John Heinz III School of Public Policy and Management and Qatar Campus, Carnegie Mellon University, Pittsburgh, PA, USA aut Feichtinger G. Department of Operations Research and Systems Theory, Vienna University of Technology, Vienna, Austria aut Grass D. Department of Operations Research and Systems Theory, Vienna University of Technology, Vienna, Austria aut Tragler G. Department of Operations Research and Systems Theory, Vienna University of Technology, Vienna, Austria aut Journal of Optimization Theory and Applications Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 133/1(2007-04-01), 19-35 0022-3239 133:1<19 2007 133 10957 https://doi.org/10.1007/s10957-007-9180-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10957-007-9180-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Caulkins J. H. John Heinz III School of Public Policy and Management and Qatar Campus, Carnegie Mellon University, Pittsburgh, PA, USA aut NATIONALLICENCE 700 1- Feichtinger G. Department of Operations Research and Systems Theory, Vienna University of Technology, Vienna, Austria aut NATIONALLICENCE 700 1- Grass D. Department of Operations Research and Systems Theory, Vienna University of Technology, Vienna, Austria aut NATIONALLICENCE 700 1- Tragler G. Department of Operations Research and Systems Theory, Vienna University of Technology, Vienna, Austria aut NATIONALLICENCE 773 0- Journal of Optimization Theory and Applications Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 133/1(2007-04-01), 19-35 0022-3239 133:1<19 2007 133 10957 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer