Constructing Patterns of (Many) ESSs Under Support Size Control
- Author(s)
- Immanuel M. Bomze, Werner Schachinger
- Abstract
As is well known, equilibrium analysis of evolutionary partnership games can be done by studying a so-called standard quadratic optimization problem, where a possibly indefinite quadratic form is maximized over the standard (probability) simplex. Despite the mathematical simplicity of this model, the nonconvex instances in this problem class allow for remarkably rich patterns of coexisting (strict) local solutions, which correspond to evolutionarily stable states (ESSs) in the game; seen from a dynamic perspective, ESSs form the asymptotically stable fixed points under the continuous-time replicator dynamics. In this study, we develop perturbation methods to enrich existing ESS patterns by a new technique, continuing the research strategy started by Chris Cannings and coworkers in the last quarter of the past century.
- Organisation(s)
- Department of Statistics and Operations Research, Research Network Data Science, Research Platform Governance of digital practices
- Journal
- Dynamic Games and Applications
- Volume
- 10
- Pages
- 618-640
- ISSN
- 2153-0785
- DOI
- https://doi.org/10.1007/s13235-019-00323-1
- Publication date
- 08-2019
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 101015 Operations research
- Keywords
- ASJC Scopus subject areas
- Statistics and Probability, Computer Science Applications, Computer Graphics and Computer-Aided Design, Computational Theory and Mathematics, Computational Mathematics, Applied Mathematics
- Portal url
- https://ucris.univie.ac.at/portal/en/publications/constructing-patterns-of-many-esss-under-support-size-control(8f8c1432-9460-46c0-b51b-741b4e233e33).html