Possibility to agree on disagree from quantum information and decision making

The celebrated Aumann theorem states that if two agents have common priors, and their posteriors for a given event E are common knowledge, then their posteriors must be equal; agents with the same ...

[1]  Masanori Ohya,et al.  Quantum-like model for the adaptive dynamics of the genetic regulation of E. coli’s metabolism of glucose/lactose , 2012, Systems and Synthetic Biology.

[2]  Ehtibar N. Dzhafarov,et al.  All-Possible-Couplings Approach to Measuring Probabilistic Context , 2012, PloS one.

[3]  D. Kahneman A perspective on judgment and choice: mapping bounded rationality. , 2003, The American psychologist.

[4]  Masanori Ohya,et al.  Quantum-like interference effect in gene expression: glucose-lactose destructive interference , 2011, Systems and Synthetic Biology.

[5]  L. Accardi,et al.  THE QUANTUM BLACK-SCHOLES EQUATION , 2007, 0706.1300.

[6]  Andrei Khrennikov Quantum-like formalism for cognitive measurements. , 2003, Bio Systems.

[7]  Ehtibar N. Dzhafarov,et al.  Selectivity in Probabilistic Causality: Where Psychology Runs Into Quantum Physics , 2011, 1110.2388.

[8]  Ehtibar N. Dzhafarov,et al.  Random Variables Recorded under Mutually Exclusive Conditions: Contextuality-by-Default , 2013, ArXiv.

[9]  Jennifer S Trueblood,et al.  A quantum geometric model of similarity. , 2013, Psychological review.

[10]  Andrei Khrennikov,et al.  Quantum-like model of processing of information in the brain based on classical electromagnetic field , 2010, Biosyst..

[11]  Diederik Aerts,et al.  Concepts and Their Dynamics: A Quantum-Theoretic Modeling of Human Thought , 2012, Top. Cogn. Sci..

[12]  James T. Townsend,et al.  Quantum dynamics of human decision-making , 2006 .

[13]  A. Tversky,et al.  Thinking through uncertainty: Nonconsequential reasoning and choice , 1992, Cognitive Psychology.

[14]  Yoshiharu Tanaka,et al.  Quantum-like model of brain's functioning: decision making from decoherence. , 2011, Journal of theoretical biology.

[15]  Jennifer S Trueblood,et al.  A quantum theoretical explanation for probability judgment errors. , 2011, Psychological review.

[16]  Adam Brandenburger,et al.  Common knowledge with probability 1 , 1987 .

[17]  Jerome R. Busemeyer,et al.  A Quantum Question Order Model Supported by Empirical Tests of an A Priori and Precise Prediction , 2013, Top. Cogn. Sci..

[18]  H. Atmanspacher,et al.  Order Effects in Sequential Measurements of Non-Commuting Psychological Observables , 2012, 1201.4685.

[19]  Adam Brandenburger,et al.  The relationship between quantum and classical correlation in games , 2010, Games Econ. Behav..

[20]  C. Fuchs Quantum Mechanics as Quantum Information (and only a little more) , 2002, quant-ph/0205039.

[21]  Masanori Ohya,et al.  A model of epigenetic evolution based on theory of open quantum systems , 2013, Systems and Synthetic Biology.

[22]  R. Aumann Backward induction and common knowledge of rationality , 1995 .

[23]  Shmuel Zamir,et al.  Type Indeterminacy: A Model for the KT(Kahneman-Tversky)-Man , 2006, physics/0604166.

[24]  Polina Khrennikova Evolution of quantum-like modeling in decision making processes , 2012 .

[25]  R. McKelvey,et al.  Common Knowledge, Consensus, and Aggregate Information , 1986 .

[26]  J. Busemeyer,et al.  Empirical Comparison of Markov and Quantum models of decision-making , 2009 .

[27]  P. Kleingeld,et al.  The Stanford Encyclopedia of Philosophy , 2013 .

[28]  Jerome R. Busemeyer,et al.  Quantum Models of Cognition and Decision , 2012 .

[29]  Caslav Brukner,et al.  OPERATIONALLY INVARIANT INFORMATION IN QUANTUM MEASUREMENTS , 1999 .

[30]  A. Tversky,et al.  The Disjunction Effect in Choice under Uncertainty , 1992 .

[31]  A. Kolmogoroff Grundbegriffe der Wahrscheinlichkeitsrechnung , 1933 .

[32]  R. Penrose The emperor's new mind: concerning computers, minds, and the laws of physics , 1989 .

[33]  Andrei Khrennikov,et al.  Ubiquitous Quantum Structure: From Psychology to Finance , 2010 .

[34]  Ehtibar N. Dzhafarov,et al.  On Selective Influences, Marginal Selectivity, and Bell/CHSH Inequalities , 2012, Top. Cogn. Sci..

[35]  Joseph P. Zbilut,et al.  Some remarks on an experiment suggesting quantum-like behavior of cognitive entities and formulation of an abstract quantum mechanical formalism to describe cognitive entity and its dynamics , 2007 .

[36]  Emmanuel Haven,et al.  Quantum mechanics and violations of the sure-thing principle: The use of probability interference and other concepts , 2009 .

[37]  Yoshiharu Tanaka,et al.  Quantum-like generalization of the Bayesian updating scheme for objective and subjective mental uncertainties , 2012 .

[38]  Andrei Khrennikov,et al.  Mental States Follow Quantum Mechanics During Perception and Cognition of Ambiguous Figures , 2009, Open Syst. Inf. Dyn..

[39]  Andrei Khrennikov,et al.  Quantum-like brain: "Interference of minds". , 2006, Bio Systems.

[40]  A. Zeilinger,et al.  Conceptual inadequacy of the Shannon information in quantum measurements , 2000, quant-ph/0006087.

[41]  Jennifer Trueblood,et al.  A Quantum Probability Account of Order Effects in Inference , 2011, Cogn. Sci..

[42]  R. Aumann Agreeing to disagree. , 1976, Nature cell biology.

[43]  Peter Bruza,et al.  Quantum Logic of Semantic Space: An Exploratory Investigation of Context Effects in Practical Reasoning , 2005, We Will Show Them!.

[44]  A. N. Kolmogorov,et al.  Foundations of the theory of probability , 1960 .

[45]  Yoshiharu Tanaka,et al.  Dynamics of Entropy in Quantum-like Model of Decision Making. , 2011 .

[46]  Fabio Benatti Quantum Algorithmic Complexities and Entropy , 2009, Open Syst. Inf. Dyn..

[47]  Christopher A. Fuchs Delirium Quantum Or, where I will take quantum mechanics if it will let me , 2007 .

[48]  Max Tegmark Our Mathematical Universe: My Quest for the Ultimate Nature of Reality , 2014 .

[49]  J. Neumann,et al.  The Logic of Quantum Mechanics , 1936 .

[50]  A. Zeilinger A Foundational Principle for Quantum Mechanics , 1999, Synthese Library.

[51]  Caslav Brukner,et al.  Young's experiment and the finiteness of information , 2002, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[52]  Taksu Cheon,et al.  Interference and inequality in quantum decision theory , 2010, 1008.2628.

[53]  Joseph P. Zbilut,et al.  A Preliminary Experimental Verification On the Possibility of Bell Inequality Violation in Mental States , 2008 .

[54]  D. Monderer,et al.  Approximating common knowledge with common beliefs , 1989 .

[55]  Yoshiharu Tanaka,et al.  Quantum-like model of diauxie in Escherichia coli: operational description of precultivation effect. , 2012, Journal of theoretical biology.

[56]  Andrei Khrennikov,et al.  Quantum-like model of cognitive decision making and information processing , 2009, Biosyst..

[57]  Croson,et al.  The Disjunction Effect and Reason-Based Choice in Games. , 1999, Organizational behavior and human decision processes.

[58]  Patrick Suppes,et al.  Quantum mechanics, interference, and the brain , 2009 .

[59]  J. Townsend,et al.  Decision field theory: a dynamic-cognitive approach to decision making in an uncertain environment. , 1993, Psychological review.

[60]  R. Feynman,et al.  Quantum Mechanics and Path Integrals , 1965 .

[61]  David W. Moore Measuring New Types of Question-Order Effects: Additive and Subtractive , 2002 .

[62]  Jerome R Busemeyer,et al.  Can quantum probability provide a new direction for cognitive modeling? , 2013, The Behavioral and brain sciences.

[63]  Andrei Khrennikov Quantum theory: Reconsideration of foundations , 2003 .

[64]  Anton Zeilinger Quantum teleportation and the non-locality of information , 1997, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[65]  Lars Tyge Nielsen Common knowledge, communication, and convergence of beliefs , 1984 .

[66]  Yoshiharu Tanaka,et al.  Quantum-like dynamics of decision-making , 2012 .

[67]  Ehtibar N. Dzhafarov,et al.  Quantum Entanglement and the Issue of Selective Influences in Psychology: An Overview , 2012, QI.

[68]  A. Khrennikov,et al.  Quantum Social Science , 2013 .

[69]  J. Neumann Mathematical Foundations of Quantum Mechanics , 1955 .

[70]  Masanori Ohya,et al.  On Application of Gorini-Kossakowski-Sudarshan-Lindblad Equation in Cognitive Psychology , 2011, Open Syst. Inf. Dyn..

[71]  J. Busemeyer,et al.  A quantum probability explanation for violations of ‘rational’ decision theory , 2009, Proceedings of the Royal Society B: Biological Sciences.

[72]  Harald Atmanspacher,et al.  Contra Classical Causality Violating Temporal Bell Inequalities in Mental Systems , 2012 .

[73]  Polina Khrennikova,et al.  A Quantum Framework for 'Sour Grapes' in Cognitive Dissonance , 2013, QI.

[74]  A. Khrennikov Information Dynamics in Cognitive, Psychological, Social, and Anomalous Phenomena , 2004 .

[75]  Masanori Ohya,et al.  Non-Kolmogorovian Approach to the Context-Dependent Systems Breaking the Classical Probability Law , 2013 .

[76]  Andrei Khrennikov,et al.  On Quantum-Like Probabilistic Structure of Mental Information , 2004, Open Syst. Inf. Dyn..