Relaxed Optimization: How Close Is a Consumer to Satisfying First-Order Conditions?
提出一种松弛优化方法,通过新测度评估消费者行为偏离一阶条件的程度,可用于检验理性假设的拟合优度,并应用于投资组合选择数据。
Abstract We propose relaxing the first-order conditions in optimization to approximate rational consumer choice. We assess the magnitude of departures with a new, axiomatically founded measure that admits multiple interpretations. Standard inequality tests of rationality for any given reference class of preferences can be conveniently repurposed to measure goodness-of-fit with that class. Another advantage of our approach is that it is applicable in any context where the first-order approach is meaningful (e.g., convex budget sets arising from progressive taxation). We apply these ideas to shed new light on existing portfolio-choice data.