The Theory of Sequential Decision Making

• Applicant: Professor Dr. Carlos Alós-Ferrer
• Subject Area: Economic Theory
• Term: from 2009 to 2017
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 157248499

The project aims at a reconsideration of the theory of non-cooperative games, in particular the theory of extensive form games, without simplifying finiteness or discreteness assumptions. By redoing the mathematical foundations of game theory, with the goal of proving characterization results in each and every step, we hope to extend the current confines of game theory and break new ground that allows for further applications of game theory. Immediate tasks are to extend the proof of Kuhn s theorem to the general framework and to provide a rigorous model for randomized strategies. Further, for most applications, a down-discreteness condition seems natural and appears to allow for a significant simplification of the relevant definitions, thereby providing a compact canonical definition of the primitives of game theory. In the next step we hope to explore the possible range of preference relations that can govern sequential decision-making in games.

• DFG Programme: Research Grants
• International Connection: Austria
• Participating Person: Professor Dr. Klaus Ritzberger