LOFT 2016 at Maastricht University

Our research center for Epistemic Game Theory is located at Maastricht University

Mini-Course Series

2016


A logician looks at games (and they look back)

January 25 and 26, 2016, by Johan van Benthem

Johan van Benthem 2

Johan van Benthem 1

Group1-Johan van BenthemGroup2-Johan van Benthem

 

Summary:

Logic and games have many natural connections. Logic can be used to analyze games, but games can also be used to analyze the basic notions of logic themselves.

In the first two sessions of this course, Johan presents some samples of modern logical analysis of games, first viewed as a form of multi-agent process amenable to techniques from logic in computer science, and next as an arena for more general dynamics of information-driven social agency.

In the third session of the course Johan looks at how logic itself can be cast in terms of games, and discusses connections between the two directions of thought and mutual influence.  

Literature: J. van Benthem, 2014, “Logic in Games”, The MIT Press, Cambridge MA.

About Johan van Benthem:

Johan van Benthem is Professor of Logic at Amsterdam University and Stanford University, and is the founding director of the well-known Institute of Logic, Language and Computation (ILLC) at Amsterdam. He is famous for his many pioneering contributions in different branches of logic, philosophy, and the connections between logic and games – which is the theme of this mini-course. And this list is certainly not complete.

For a detailed overview of his work, please visit his homepage: https://staff.fnwi.uva.nl/j.vanbenthem/index.html

Johan van Benthem has also been fundamental for the development of logic, especially modal logic, in the Netherlands, and has recently established important connections with universities in China.  


2015


Unawareness in Games

June 22 and June 23, 2015, by Burkhard Schipper

Slides Powerpoint   Slides PDF

Unawareness2015

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Unawareness refers to the lack of conception rather than the lack of information. Players may be unaware of certain features of the game like payoff-relevant events, actions, or even other players. Moreover, in dynamic interaction, a player’s awareness of these features may change endogenously as other players may make her aware of some of it for strategic reasons. Unawareness has been explored in epistemic logic and game theory only recently.

Burkhard Schipper (University of California at Davis, USA) is one of the world’s leading experts on unawareness in games, and has done some important pioneering work in this area. We are certain his mini-course will be inspiring for everyone with an interest in decision theory, game theory or logic.

For more information about Burkhard Schipper, please visit his website: http://www.econ.ucdavis.edu/faculty/schipper/

 


 Quantum Logic

January 19 and January 20, 2015, by Joshua Sack

This course provides an introduction to quantum logics.  Work on quantum logic started with Birkoff and von Neumann as a tool for studying relationships among physical observables. The language of this logic is the same as for propositional logic, but the semantics is different.  Later developments focused not just on the observables, but also the dynamics of a quantum system: for example what happens to a quantum system when certain actions are made, such as a measurement. Early development of quantum logic avoided the use of probability, though probability has been receiving an increasing amount of attention in quantum logics.  This course will provide some background on quantum mechanics, and then discuss various quantum logics that have been developed, including issues concerning their proof theories, completeness, and decidability.

Joshua Sack is a logician, who currently works as a postdoctoral researcher at the Institute of Logic, Language and Computation (ILLC) at the University of Amsterdam. He is a member of the Dynamics Group there. In his research he has focused on dynamic epistemic logic, fixed-point logic and quantum logic, among other things. Joshua Sack will also be giving a course on Quantum Logic and Quantum Computation at the ILLC in 2015.

More information about Joshua Sack can be found on his homepage: http://www.joshuasack.info/

Slides: MaastrichtQuantumLogic


 

2014

Judgment Aggregation

by Christian List and Franz Dietrich 

This course provided a first introduction to the theory of judgment aggregation. It explained the paradoxes of majority voting that originally motivated the field, generalized Arrow’s classical impossibility theorem to the case of judgement aggregation, introduced further generalizations of judgment aggregation and discussed possible judgement aggregation rules.

Franz Dietrich’s slides:  morning and afternoon.


2013

Belief Revision Theory

by Sonja Smets

The course started with the main notions of “standard” Dynamic Epistemic Logic, arguing that this logic is appropriate for updating “hard information”, but that it is inappropriate for “soft information”. Then we moved to “soft” DEL and “belief-revision models”, discussing some important epistemic/doxastic notions and the relevance of these notions to fundamental issues in contemporary Epistemology. We focused in particular on various Belief Update operations and belief-revision policies.

Slides


2012

Decision Theory

by Richard Bradley

Slides 1, Slides 2


2011

Algorithmic Game Theory

by Peter Bro Miltersen

Slides 1, Slides 2