Microtheory Seminar Series. Monotonicity and Robust Implementation Under Forward-Induction Reasoning
Published: 6 February 2024
30 April. Professor Pierpaolo Battigalli, Bocconi University
Professor Pierpaolo Battigalli, Bocconi University
"Monotonicity and Robust Implementation Under Forward-Induction Reasoning"
Tuesday, 30 April. 4 p.m.
Room 204 Sir Alexander Stone Building
Abstract
We prove that, in sequential games with payoff uncertainty, strong rationalizability characterizes the predictions of forward-induction reasoning across all possible restrictions to players' initial hierarchies of beliefs on the exogenous uncertainty. With this, we show that the implementation of social choice functions through sequential mechanisms under common strong belief in rationality (in the sense of Muller, J. Econ. Theory 2016), which considerably expands the realm of implementable functions compared with simultaneous-move mechanisms, is robust in the sense of Bergemann and Morris (Theoretical Econ. 2009).
Bio
Pierpaolo Battigalli is a theoretical economist specialized in the epistemic and learning foundations of game theory, and in psychological game theory. He was born in Milan in 1961. He studied Economics and Social Sciences at Bocconi University, Milan, where he graduated in 1987 with a thesis on game theory. He was awarded an MSc in Econometrics and Mathematical Economics in 1989 at the London School of Economics and continued with doctoral studies in economics in Milan. He was awarded the PhD in Economics in 1992 with a monographic dissertation on the foundations of game theory. He worked as Assistant Professor at the Polytechnic of Milan (1992-94) and Princeton University (1994-98), as professor at the European University Institute (1998-2000), and finally returned to the alma mater as full professor. At Bocconi University he served as Director of the PhD program in Economics, Dean of the PhD School, and Head of the Department of Decision Sciences. He served as Associate Editor of Econometrica, Theoretical Economics, Games and Economic Behavior, and the International Journal of Game Theory, and he is currently (Co)Editor of Journal of Economic Theory. He was elected Fellow of the Econometric Society, of the Game Theory Society, Economic Theory Fellow, and “Socio Corrispondente” of the Accademia Nazionale dei Lincei.
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First published: 6 February 2024