As we know, there is a controversy about the decision making under risk between economists and psychologists. We discuss to build a unified theory of risky choice, which would explain both of compensatory and non-compensatory theories. Obviously, decision strategy is not stuck in a rut, but based on the things, in the real life, and experiment materials, in the laboratory. We believe that human has a decision structure, which has constant and variable, interval, concepts of probability and value. Namely, according to cognition ability, we argue that people could not build a continuous and accurate subjective probability world, but several intervals of probability perception. More precisely, decision making is an order reduction process, which is simplifying the decision structure. However, we are not really sure which reduction path will occur during decision making process. It is why preference reversal always happens when making decisions. The most efficient way to reduce the order of decision structure is mathematical expectation. We also argue that the deliberation time at least has four parts, which are consist of substitution time,{\tau}''(G) d{\tau} time, {\tau}'(G) d{\tau} time and calculation time. Decision structure can simply explain the phenomenon of paradoxes and anomalies. JEL Codes: C10, D03, D81.
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