caa a22 4500 475814371 CHVBK 20180406123806.0 cr unu---uuuuu 170329e20000201xx s 000 0 eng 10.1007/s001820050004 doi (NATIONALLICENCE)springer-10.1007/s001820050004 A characterization of vNM-stable sets for linear production games [Elektronische Daten] [Joachim Rosenmüller, Benyamin Shitovitz] Abstract.: We discuss linear production games or market games with a continuum of players which are represented as minima of finitely many nonatomic measures.¶Within this context we consider vNM-Stable Sets according to von Neumann and Morgenstern. We classify or characterize all solutions of this type which are convex polyhedra, i.e., which are the convex hull of finitely many imputations. Specifically, in each convex polyhedral vNM-Stable Set (and not only in the symmetric ones), the different types of traders must organize themselves into cartels. The vNM-Stable Set is then the convex hull of the utility distributions of the cartels.¶Using the results from the continuum, we obtain a similar characterization also for finite glove market games. Springer-Verlag Berlin Heidelberg, 2000 Key words: Nonatomic games, linear production games, vNM-stable sets, formation of cartels nationallicence Rosenmüller Joachim Institut für Mathematische Wirtschaftsforschung, Universität Bielefeld, D-33615 Bielefeld, Germany (e-mail: imw@wiwi.uni-bielefeld.de), DE aut Shitovitz Benyamin Department of Economics, Haifa University, Mount Carmel, Haifa 31905, Israel (e-mail: binya@econ.haifa.ac.il), IL aut https://doi.org/10.1007/s001820050004 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s001820050004 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Rosenmüller Joachim Institut für Mathematische Wirtschaftsforschung, Universität Bielefeld, D-33615 Bielefeld, Germany (e-mail: imw@wiwi.uni-bielefeld.de), DE aut NATIONALLICENCE 700 1- Shitovitz Benyamin Department of Economics, Haifa University, Mount Carmel, Haifa 31905, Israel (e-mail: binya@econ.haifa.ac.il), IL aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer