April 14, 2024


March 9-11, 2015
Conference on
Quantum Probability and the Mathematical Modelling of Decision Making
at the Fields Institute, Toronto

Organizing Committee
Jerome Busemeyer - Indiana University Bloomington (USA)
Ehtibar Dzhafarov – Purdue University (USA)
Emmanuel Haven –University of Leicester (UK)
Andrei Khrennikov – Linnaeus University (Sweden)
Arkady Plotnitsky – Purdue University (USA)
Emmanuel Pothos – City University London (UK)

Quantum probability and the mathematical modelling of decision making

Quantum theory is founded on the premise that the probabilities of events are associated with subspaces of a vector space, and an additive measure is proposed to assign these probabilities. The adoption of subspaces as the basis for predicting events entails a new logic-the logic of subspaces-which relaxes some of the axioms of Boolean logic. In particular, this logic does not entail that events are always commutative and distributive, and the closure property does not always hold.
Human behaviour seems to indicate numerous instances which are also inconsistent with these axioms of Boolean logic. Human judgments are not always commutative, and order effects are pervasive.

Human decisions often violate the probabilistic implications of the distributive axiom. Human concepts are not always capable of satisfying the probabilistic implications of the closure axiom. Real experimental data from cognitive psychology related to the disjunction effect violate the basic laws of classical (Kolmogorovian) probability.

Such observations guide us to consider a quantum framework for social and behavioural sciences, but there are alternative motivations too. The principles borrowed from quantum theory resonate with deeply rooted psychological intuitions and conceptions about human cognition and decision.

This three day conference at the Fields Institute will have a variety of sessions constructed around the main themes as described above. The conference will have sessions on:
- quantum probability and probabilistic contextuality (with sessions on what the precise definition of quantum probability is and how the probabilistic contextuality is applied to issues across different sciences)
-quantum mechanics, and decision making in psychology and economics
-new avenues of research
The conference contains papers from invited speakers and papers which will have been accepted via the refereeing process.

If you would like to present a paper at this conference then please submit, at a minimum a one half page abstract of the paper you intend to present. If you can send us the full paper you want to present then that is even more appreciated. Please do send your abstract/papers to Emmanuel Haven (e-mail: by February 10, 2015.
The referee committee which will decide on the acceptance of your paper is composed of:
Jerome Busemeyer; Ehtibar Dzhafarov; Emmanuel Haven; Andrei Khrennikov; Arkady Plotnitsky and Emmanuel Pothos.

Confirmed Keynote Speakers

Donald Saari

UCI Distinguished Professor - Department of Mathematics and Department of Economics - University of California - Irvine
Karl Gustafson
Department of Mathematics - University of Colorado Boulder
Adam Brandenburger
J. P. Valles Professor of Business Economics and Strategy – Leonard N. Stern School of Business – New York University


Day 1: March 9, 2015
Time Speaker Topic
Registration On-Site
9:00-9:15am   Introduction
9:15-10:15am Karl Gustafson (University of Colorado-Boulder) Plenary I: 'Mathematics and inter-disciplinarity'
The Importance of Imagination (or lack thereof) in Artificial, Human, Quantum Cognition and Decision Making
Session chair: Andrei Khrennikov
Coffee Break
10:30-11:30am Adam Brandenburger (New York University), joint with P. La Mura (Leipzig Graduate School of Management) Plenary II: 'Physics and inter-disciplinarity'
Deriving the qubit from entropy principles
Session chair: Andrei Khrennikov
11:30-12:00pm Boris Khots and Dmitriy Khots (CCC Global) Plenary II short talk: 'Small decision between classical and observer's mathematics point of view on quantum mechanics'
Session chair: Emmanuuel Haven
2:00-3:00pm Ehtibar Dzhafarov (Purdue University), joint with J. Kujala (University of Jyväskylä) Plenary III: 'Foundations of probability in psychology and quantum mechanics'
Contextuality-by-Default approach to understanding random variables
Session chair: Jerome Busemeyer
Coffee Break
3:30-4:00pm Jan-Åke Larsson (Linköpings universitet) Plenary III short talk: 'Contextuality and understanding properties of quantum physics'
Session chair: Thomas Boyer-Kassem
4:00-4:30pm Louis Narens (University of California) Plenary III short talk: 'Probabilistic Frames for Non-Boolean Phenomena'
Session chair: Sandro Sozzo
Coffee Break
5:00-6:00pm Arkady Plotnitsky (Purdue University) Plenary IV: 'Models in physics and beyond'
'What does, and does not, count as a mathematical model, in physics and beyond? From Lagrangian mechanics to Quantum Field Theory'
Session chair: Emmanuuel Haven
6:00-6:30pm E. Haven (University of Leicester) Plenary IV short talk: 'Finance and quantum-like concepts'
Session chair: Polina Khrennikova


Day 2: March 10, 2015
Time Speaker Topic
9:30-10:30am Andrei Khrennikov (Linnaeus University) Plenary I: 'What is quantum probability'
Can quantum agents agree on disagree?
Session chair: Arkady Plotnitsky
Coffee Break
11:00-11:30am V. Yukalov and D. Sornette (ETH Zurich) Plenary I short talk: "Quantum probability and quantum decision making"
Session chair: Emmanuuel Haven
11:30-12:00pm Reinhard Blutner (Universiteit Amsterdam) Plenary I short talk: 'Modelling tonal attraction: Tonal hierarchies, interval cycles, and quantum probabilities'
Session chair: Sandro Sozzo
2:00-3:00pm Donald Saari (University of California) Plenary II: 'Quantum mechanics and the social sciences'
Exploring path dependencies
Session chair: Vyacheslav I. Yukalov
Coffee Break
3:30-4:00pm W. Lawless (Paine College) Plenary II short talk: 'A new theory of teams: Uncertainty, thermodynamics, and emotion'
Session chair: Allan Randall
4:00-4:30pm Polina Khrennikova (University of Leicester) Plenary II short talk: 'Instability of political preferences and the role of mass media: a dynamical representation in quantum framework"
Session chair: Emmanuuel Haven
4:30-5:00pm Allan Randall (York University) Plenary short talk: 'A toy algorithmic model of quantum probability'
Session chair: William Lawless


Day 3: March 11, 2015
Time Speaker Topic
9:15-10:15am Jerome Busemeyer (University of Indiana), joint with Zheng Wang (Ohio State University) Plenary I: 'Quantum probability and decision making in psychology - I'
Multi-dimensional Hilbert Space Modelling of a Collection of Contingency Tables
Session chair: Ehtibar Dzhafarov
Coffee Break
10:30-11:30am Zheng Wang (Ohio State University), joint with Jerome Busemeyer (Indiana University) Plenary II: 'Quantum probability and decision making in psychology - II'
Multi-dimensional Hilbert Space Model of Order Effects in Perspective Changing
Session chair: Ehtibar Dzhafarov
11:30-12:00pm Sandro Sozzo (University of Leicester, UK), joint with D. Aerts (University of Brussels) Plenary I short talk: 'A Quantum-theoretic Perspective in Cognition Origins, Development, Expectations'
Session chair: Emmanuuel Haven
1:30-2:00pm William Zeng (University of Oxford) and Philipp Zahn (Universität Mannheim) Plenary I short talk: 'Contextuality and the Theory of Choice'
Session chair: Sandro Sozzo
2:00-2:30pm Th. Boyer (Université de Lorraine), joint with: Sébastien Duchêne, Eric Guerci (Université de Nice Sophia Antipolis) Plenary II short talk: 'Testing quantum-like models of judgment for question order effects'
Session chair: Jan-Åke Larsson
2:30-3:00pm Th. Boyer (Université de Lorraine), joint with Sébastien Duchêne, Eric Guerci (Université de Nice Sophia Antipolis) Plenary II short talk: 'Testing quantum-like models of judgment for conjunction fallacy'
Session chair: William Zeng
Coffee Break
3:30-4:00pm   Closing Session


Final Participants List:

  Full Name University/Affiliation
  Blutner, Reinhard Universiteit van Amsterdam, ILLC
  Boyer-Kassem, Thomas Archives H. Poincaré, Université de Lorraine
  Brandenburger, Adam New York University
  Burd, Oleg N/A
  Busemeyer, Jerome University of Indiana Bloomington
  Dzhafarov, Ehtibar Purdue University
  Gustafson, Karl E. University of Colorado at Boulder
  Haven, Emmanuel University of Leicester
  Khots, Boris Compressor Controls Corporation
  Khrennikov, Andrei Linnaeus University
  Khrennikova, Polina University of Leicester
  King, Loren Wilfrid Laurier University
  Larsson, Jan-Ake Linkoping University
  Narens, Louis UC Irvine
  Pereira, Rajesh J. University of Guelph
  Plotnitsky, Arkady Purdue University
  Randall, Allan The Abelard Centre for Education
  Saari, Donald University of California - Irvine
  Sozzo, Sandro University of Leicester
  Wang, Zheng Ohio State University
  Yukalov, Vyacheslav Joint Institute for Nuclear Research
  Zeng, William Oxford University


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