Conference on Quantum Probability and the Mathematical Modelling of Decision Making
Description
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.
Schedule
09:15 |
Karl Gustafson, University of Colorado Boulder |
10:30 to 11:30 |
Adam Brandenburger, New York University |
11:30 |
Boris Khots and Dmitriy Khots |
14:00 |
Ehtibar Dzhafarov, Purdue University |
15:30 to 16:00 |
Jan-Åke Larsson, Linköpings universitet |
16:00 to 17:00 |
Louis Narens, University of California |
17:00 to 18:00 |
Arkady Plotnitsky, Purdue University |
18:00 |
Emmanuel Haven, University of Leicester |
09:30 |
Andrei Khrennikov, Linnaeus University |
11:00 to 11:30 |
V. Yukalov and D. Sornette |
11:30 |
Reinhard Blutner, Universiteit Amsterdam |
14:00 |
Donald Saari, University of California |
15:30 to 16:00 |
W. Lawless, Paine College |
16:00 to 16:30 |
Polina Khrennikova, University of Leicester |
16:30 |
Allan Randall, York University |
09:15 |
Jerome Busemeyer, University of Indiana |
10:30 to 11:30 |
Zheng Wang, The Ohio State University |
11:30 |
Sandro Sozzo, University of Leicester |
13:30 to 14:00 |
William Zeng, University of Oxford, Universität Mannheim |
14:00 to 14:30 |
Thomas Boyer-Kassem, Université de Lorraine |
14:30 |
Thomas Boyer-Kassem, Université de Lorraine |