Dr. Sırma Zeynep ALPARSLAN-GÖK was born in 1980 in Ankara-Turkey. She works as a full-time professor at Department of Mathematics, Faculty of Arts and Sciences, Süleyman Demirel University in Isparta-Turkey. She holds PhD at Institute of Applied Mathematics (Middle East Technical University, Turkey) in Scientific Computing and BSc (Ankara University, Turkey) in Mathematics. Her research interests are Cooperative Game Theory, Operations Research, Optimization and Scientific Computing. She has co-authored research papers at various journals, book chapters and conference proceedings. She has educated various graduate and doctoral students and is currently working with the others. She leads as guest editor and editorial board member in several journals, journal special issues and book projects.
Recent advances in Cooperative games and their potential on Economics and Operations Research situations under uncertainty
Cooperative game theory has been enriched in recent years with several models which provide decision-making support in collaborative situations under uncertainty. Such models are generalizations of the classical model regarding the type of coalition values. Thus, the characteristic functions are not real valued as in classical case; meaning that payoffs to coalitions of players are known with certainty; but they capture the uncertainty on the outcome of cooperation in its different forms such as interval uncertainty, grey uncertainty, fuzzy uncertainty. To incorporate uncertainty in cooperative games is motivated by the real world, where noise in observation and experimental design, incomplete information and further vagueness in preference structures and decision making play an important role. This causes a great mathematical challenge which is approached and well understood in the case of interval uncertainty.
This talk surveys and improves recent advances in understanding the mathematical foundations and interdisciplinary implications of cooperative games under uncertainty as well as the connections of Operations Research approach to economics and its related instruments.