Back to Fundamentals: Equilibrium in Abstract Economies
提出一种新的抽象均衡定义，类似于竞争均衡，包含备选方案和公共排序，使每个代理人偏好其分配胜于所有较低排序者。该定义基于凸几何的凸性概念，应用于多种凸经济，并与帕累托最优关联。
We propose a new abstract definition of equilibrium in the spirit of competitive equilibrium: a profile of alternatives and a public ordering (expressing prestige, price, or a social norm) such that each agent prefers his assigned alternative to all lower-ranked ones. The equilibrium operates in an abstract setting built upon a concept of convexity borrowed from convex geometry. We apply the concept to a variety of convex economies and relate it to Pareto optimality. The “magic” of linear equilibrium prices is put into perspective by establishing an analogy between linear functions in the standard convexity and “primitive orderings” in the abstract convexity.