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From noncooperative to cooperative interval games using α and β approaches


18 oct. 2023   11h00 — 12h00

G. Selin Savaşkan HEC Montréal, Canada

G. Selin Savaşkan

Séminaire en format hybride au local 4488 du GERAD ou Zoom.

In the realm of game theory, strategic interactions pervade every facet of decision-making, from economics and political science to biology and computer science. These interactions, often characterized by uncertainty, have fueled the development of various game models to capture the subtleties of real-world scenarios. Among these models, interval games emerge as a powerful framework for addressing the inherent uncertainty and vagueness inherent in decision-making processes.

This paper deals with the intersection of noncooperative and cooperative interval games, offering novel insights into strategic interactions under uncertainty by introducing the interval α and β characteristic functions (CFs). We consider noncooperative two-player non-zero-sum interval games played between a coalition and players that are left out of the coalition and determine the interval α and β CFs for each coalition. Further, we compute the interval Shapley value and the interval core in the context of cooperative interval games and provide some numerical illustrations.

Bio: I’m a postdoctoral fellow at HEC- Montreal, supervised by Georges Zaccour, Michèle Breton and Olivier Bahn. I have worked in the Economics department as an Assistant Professor at Canakkale Onsekiz Mart University in Turkey for three years. I received my Ph.D. in mathematics at the same university. I am broadly interested in deterministic dynamic games (multistage games), noncooperative games, cooperative games, and their applications to economics, particularly cooperative interval games, which are the generalization of classical cooperative games.

Olivier Bahn responsable
Georges Zaccour responsable


Séminaire hybride au GERAD
Zoom et salle 4488
Pavillon André-Aisenstadt
Campus de l'Université de Montréal
2920, chemin de la Tour

Montréal Québec H3T 1J4

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