Quantum version of Aumann's approach to common knowledge: sufficient conditions of impossibility to agree on disagree
From MaRDI portal
Publication:745009
DOI10.1016/j.jmateco.2015.06.018zbMath1368.91052OpenAlexW772067866MaRDI QIDQ745009
Publication date: 12 October 2015
Published in: Journal of Mathematical Economics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmateco.2015.06.018
common knowledgequantum probability(in)compatible information representationsAumann theoremprior quantum statequantum Bayesian agents
Decision theory (91B06) Applications of statistical and quantum mechanics to economics (econophysics) (91B80) Cognitive psychology (91E10) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)
Related Items
Asset trading under non-classical ambiguity and heterogeneous beliefs, A model of adaptive decision-making from representation of information environment by quantum fields, The use of action functionals within the quantum-like paradigm, A proposal to extend expected utility in a quantum probabilistic framework, Editorial: Introduction to quantum probability theory and its economic applications, Quantum-like model of subjective expected utility, Testing ambiguity and Machina preferences within a quantum-theoretic framework for decision-making, A quantum-probabilistic paradigm: non-consequential reasoning and state dependence in investment choice, The triple-store experiment: a first simultaneous test of classical and quantum probabilities in choice over menus
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Interference and inequality in quantum decision theory
- The relationship between quantum and classical correlation in games
- On \(p\)-adic mathematical physics
- Mathematical foundations of quantum information and computation and its applications to nano- and bio-systems
- Quantum mechanics, interference, and the brain
- Type indeterminacy: A model of the KT(Kahneman-Tversky)-man
- Quantum mechanics and violations of the sure-thing principle: The use of probability interference and other concepts
- Empirical comparison of Markov and quantum models of decision making
- Common knowledge, communication, and convergence of beliefs
- Some extensions of a claim of Aumann in an axiomatic model of knowledge
- Common knowledge with probability 1
- Approximating common knowledge with common beliefs
- Agreeing to disagree
- Modelling of psychological behavior on the basis of ultrametric mental space: encoding of categories by balls
- Quantum-like model of brain's functioning: decision making from decoherence
- Information dynamics in cognitive, psychological, social and anomalous phenomena.
- Backward induction and common knowledge of rationality
- Possibility to agree on disagree from quantum information and decision making
- Cognitive processes of the brain: an ultrametric model of information dynamics in unconsciousness
- Quantum-like generalization of the Bayesian updating scheme for objective and subjective mental uncertainties
- Order effects in sequential measurements of non-commuting psychological observables
- Quantum dynamics of human decision-making
- On Application of Gorini-Kossakowski-Sudarshan-Lindblad Equation in Cognitive Psychology
- Ubiquitous Quantum Structure
- Common Knowledge, Consensus, and Aggregate Information
- Correlated Equilibrium as an Expression of Bayesian Rationality
- On Quantum-Like Probabilistic Structure of Mental Information
- Epistemic Conditions for Nash Equilibrium
