Core Theory with Strongly Convex Preferences
研究一类强凸偏好经济体的核心极限定理，在禀赋温和假设下证明强核心收敛，结果推广了Hildenbrand的经典结论，适合关注一般均衡与核心理论的学者。
We consider economies with preferences drawn from a very general class of strongly convex preferences, closely related to the class of convex (but intransitive and incomplete) preferences for which Mas-Colell proved the existence of competitive equilibria [13]. We prove a strong core limit theorem for sequences of such economies with a mild assumption on endowments (the largest endowment is small compared to the total endowment) and a uniform convexity condition. The results extend corresponding results in Hildenbrand's book [8]. The proof, which is based on our earlier result for economies with more general preferences [2], is elementary.