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dc.contributor.author
Fourny, Ghislain
dc.date.accessioned
2019-09-16T09:02:36Z
dc.date.available
2019-07-03T12:50:57Z
dc.date.available
2019-07-03T13:58:26Z
dc.date.available
2019-08-02T11:34:38Z
dc.date.available
2019-08-02T14:09:05Z
dc.date.available
2019-08-26T14:13:45Z
dc.date.available
2019-08-27T05:47:39Z
dc.date.available
2019-09-12T09:21:52Z
dc.date.available
2019-09-16T09:02:36Z
dc.date.issued
2019-07-03
dc.identifier.uri
http://hdl.handle.net/20.500.11850/351179
dc.identifier.doi
10.3929/ethz-b-000351179
dc.description.abstract
The non-extensibility of quantum theory into a theory with improved predictive power is based on a strong assumption of independent free choice, in which the physicists pick a measurement axis independently of anything that couldn't have been caused by their decision. Independent free choice is also at the core of the Nash equilibrium and classical game theory. A more recent line of game-theoretical research based on weakening free choice leads to non-trivial solution concepts with desirable properties such as at-most uniqueness, Pareto optimality, and contextuality. We show how introducing contingent free choice in the foundations of quantum theory yields a class of deterministic and contextual theories with an improved predictive power, and contrast them with the pilot-wave theory. Specifically, we suggest that quantum experiments, such as the EPR experiment, involving measurements located in spacetime, can be recast as dynamic games with imperfect information involving human agents and the universe. The underlying idea is that a physicist picking a measurement axis and the universe picking a measurement outcome are two faces of the same physical contingency phenomenon. The classical, Nashian resolution of these games based on independent free choice is analogous to local hidden variable theories, constrained by the Bell inequalities. On the other hand, in a setup in which agents are rational and omniscient in all possible worlds, under contingent free choice, the Perfectly Transparent Equilibrium provides a contextual resolution, based on the iterated elimination of inconsistent worlds, towards an at-most unique possible world, in which the outcomes of measurements that actually are carried out, and only them, are deterministically defined.
en_US
dc.format
application/pdf
en_US
dc.language.iso
en
en_US
dc.publisher
ETH Zurich, Department of Computer Science
en_US
dc.rights.uri
http://rightsstatements.org/page/InC-NC/1.0/
dc.subject
Game theory
en_US
dc.subject
Quantum theory
en_US
dc.subject
Free choice
en_US
dc.subject
Counterfactual dependency
en_US
dc.subject
Non-Nashian Game Theory
en_US
dc.title
Contingent Free Choice: On Extending Quantum Theory to a Contextual, Deterministic Theory With Improved Predictive Power
en_US
dc.type
Working Paper
dc.rights.license
In Copyright - Non-Commercial Use Permitted
ethz.size
27 p. version 1; 31 p. version 2; 34 p. version 3; 24 p. version 4
en_US
ethz.publication.place
Zurich
en_US
ethz.publication.status
published
en_US
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02150 - Dep. Informatik / Dep. of Computer Science
en_US
ethz.relation.isNewVersionOf
10.3929/ethz-b-000334217
ethz.date.deposited
2019-07-03T12:51:04Z
ethz.source
FORM
ethz.eth
yes
en_US
ethz.availability
Open access
en_US
ethz.rosetta.installDate
2019-07-03T13:58:37Z
ethz.rosetta.lastUpdated
2019-07-03T13:58:37Z
ethz.rosetta.exportRequired
true
ethz.rosetta.versionExported
true
ethz.COinS
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