This paper builds a rule for decisionmaking from the physical behavior of single neurons, the well established neural circuitry of mutual inhibition, and the evolutionary principle of natural selection. No axioms are used in the derivation of this rule. The paper provides a microfoundation to both Economics Choice Theory and Cognitive Psychologys Response Times Theory. The paper finds how classical expected utility should be modified to account for much neuroscientific evidence, and how neuroscientific correlates of choice should be linked to utility. In particular, the model implies the concept of utility is a network property and cannot be calculated as a function of frequencies in one layer of neurons alone; it requires understanding how different layers work together. The resulting rule is simple enough to model markets and games as is customary in the social sciences. Utility maximization and inaction are endogenous to the model, cardinality and independence of irrelevant alternatives, properties present in classical and random utility theories, are only met in limiting situations.
在随机期望效用(Gul and Pesendorfer,2006)中,偏好的分布可以从随机选择中唯一地恢复。本文通过两个例子说明,如果风险偏好是随机的,但不符合期望效用理论,则这种唯一性一般不成立。在第一种情况下,即使所有偏好都局限于介数类(Dekel,1986)并且是适当单调的,也会获得非唯一性。第二个例子说明了与随机期望效用一致的随机选择行为,该随机选择行为也与随机非期望效用一致。另一方面,我们发现,如果风险偏好符合加权效用理论(Chew,1983),并且在一阶随机优势下是单调的,那么随机选择再次唯一地确定了偏好的分布。最后,我们认为,根据域的风险偏好,唯一性可能会恢复,如果联合分布的选择在有限数量的可行集。
我们研究不确定性下的跨期决策。我们充分的特点贴现期望效用在一个框架à la Savage。尽管该模型很受欢迎,但在此设置中没有可用的表征。平稳性的概念,介绍了确定性贴现效用库普曼斯,起着核心作用,对时间和不确定性的态度。我们证明了一个强平稳性公理表征贴现期望效用。当考虑对冲因素时,较弱的平稳性公理将贴现期望效用推广到Choquet贴现期望效用,允许对不确定性的非中性态度。
Strategy-Proof Probabilistic Social Choice Correspondences under Conditional Expected Utility
Indian Institute of Management Calcutta(印度管理学院加尔各答分校);Hausdorff Center for Mathematics and Institute for Microeconomics, University of Bonn(波恩大学豪斯多夫数学中心与微观经济学研究所);Indian Institute of Technology Kanpur(坎普尔印度理工学院)