量子决策理论中的信息处理
Processing Information in Quantum Decision Theory
摘要：
综述了量子决策理论中描述信息处理的最新进展，量子决策理论是基于可分希尔伯特空间的数学理论提出的一种新的决策方法。这种数学结构捕捉复合前景叠加的效果，包括许多合并的预期行动。该理论的特点纠缠决策，非交换性的后续决策，意图干扰。量子决策理论框架下的自洽决策过程既考虑了客观信息，也考虑了主观的情境效应。这种量子方法避免了经典决策理论中的任何典型悖论。条件最大化的熵，相当于最小化的信息功能，使人们有可能连接量子和经典的决策理论，表明后者是前消失的干扰项下的限制。
英文摘要：
A survey is given summarizing the state of the art of describing information processing in Quantum Decision Theory, which has been recently advanced as a novel variant of decision making, based on the mathematical theory of separable Hilbert spaces. This mathematical structure captures the effect of superposition of composite prospects, including many incorporated intended actions. The theory characterizes entangled decision making, non-commutativity of subsequent decisions, and intention interference. The self-consistent procedure of decision making, in the frame of the quantum decision theory, takes into account both the available objective information as well as subjective contextual effects. This quantum approach avoids any paradox typical of classical decision theory. Conditional maximization of entropy, equivalent to the minimization of an information functional, makes it possible to connect the quantum and classical decision theories, showing that the latter is the limit of the former under vanishing interference terms.
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