【主讲】Xiangyu Qu (University of Paris 2)
【主题】Bayesian Aggregation with Heterogenous Beliefs and Values （Antoine Billot and Xiangyu Qu)
【时间】2016年6月14日 (周二) 15：30-17：00
【地点】上海财经大学经济学院楼701室
【语言】英文
【摘要】Bayesian theory for individual decision-making under uncertainty prescribes that individuals posit a utility function, a probability distribution over events and evaluate each act on the basis of its expected utility. We attempt to generalize this model to social decision-making. The aggregation rules we consider require society's beliefs and values to be respectively the affine aggregation of individuals beliefs and values. It is well-known that the standard Pareto condition is not compatible with such separate aggregation rules. Two natural extended Pareto condition are then suggested. Within the Anscome-Aumann framework, we show that the Invariant Pareto condition is equivalent to separate aggregation (Theorems 1 and 2) while the Hedging Pareto condition is equivalent to separate aggregation within the Savage framework (Theorem 3).