Overview
Topic status: We're looking for students to study this topic.
A new application of the quantum formalism has recently arisen which models the often complementary interests of humans when they make decisions. Here, different decisions are represented as quantum superpositions, and in general their interaction is modelled through the use of the tensor product. Not all states are compatible however; choosing to marry the policewoman Jenny might restrict you in your intention to become a criminal overlord. This project will seek to implement the very advanced model of Quantum Decision Theory promoted by Yukalov and Sornette (2009) in a computational environment consisting of many interacting agents. It will seek to garner information about the patterns that arise from the interactions among many people each seeking to make conflicting decisions. Approaches: Computational implementation of an ABM that utilises the approach of (Yukalov, Sornette 2009). Suits: Student with a strong background in mathematics or physics.
Hypothesis/Aims:
- That complementary decisions can be represented using quantum approaches
- To test whether the interaction that arises between many quantum decision makers results in different long term behaviour.
References:
- Yukalov, Vyacheslav I. and Sornette, Didier , Processing Information in Quantum Decision Theory (2009). Entropy, Vol. 11, pp. 1073-1120, 2009.
- Emmanuel M. Pothos, Jerome R. Busemeyer, A quantum probability explanation for violations of 'rational' decision theoryProc. R. Soc. B June 22, 2009 276:2171-2178.
- Study level
- Honours
- Supervisors
- QUT
- Organisational unit
Science and Engineering Faculty
- Research area
- Contact
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Please contact the supervisor.