Quantum decision theory as quantum theory of measurement
arXiv:0903.5188 · doi:10.1016/j.physleta.2008.09.053
Abstract
We present a general theory of quantum information processing devices, that can be applied to human decision makers, to atomic multimode registers, or to molecular high-spin registers. Our quantum decision theory is a generalization of the quantum theory of measurement, endowed with an action ring, a prospect lattice and a probability operator measure. The algebra of probability operators plays the role of the algebra of local observables. Because of the composite nature of prospects and of the entangling properties of the probability operators, quantum interference terms appear, which make actions noncommutative and the prospect probabilities non-additive. The theory provides the basis for explaining a variety of paradoxes typical of the application of classical utility theory to real human decision making. The principal advantage of our approach is that it is formulated as a self-consistent mathematical theory, which allows us to explain not just one effect but actually all known paradoxes in human decision making. Being general, the approach can serve as a tool for characterizing quantum information processing by means of atomic, molecular, and condensed-matter systems.
Latex file, 11 pages
References in corpus (8)
- Non-Ground-State Bose-Einstein Condensates of Trapped Atoms
- Nonlinear Coherent Modes of Trapped Bose-Einstein Condensates
- Entanglement Measure for Composite Systems
- Quantifying Entanglement Production of Quantum Operations
- Regulating entanglement production in multitrap Bose-Einstein condensates
- Evolutional Entanglement in Nonequilibrium Processes
- Coherent spin relaxation in molecular magnets
- Entanglement production with multimode Bose-Einstein condensates in optical lattices
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- Quantum decision making by social agents
- Processing Information in Quantum Decision Theory
- Quantum Dating Market
- Mode interference in quantum joint probabilities for multimode Bose-condensed systems
- Tossing Quantum Coins and Dice
- Quantum phenomenology of conjunction fallacy
- Quantum and Classical Bayesian Agents
- Manipulating decision making of typical agents
- General quantum Chinos games
- Role of information in decision making of social agents
- Quantum-like perception entanglement leads to advantageous collective decisions
- Quantum probability and quantum decision making
- Inconclusive quantum measurements and decisions under uncertainty
- The dynamical quantum Zeno effect in quantum decision theory