Multiplicity of Equilibria
研究纯交换一般均衡模型中均衡的多重性,证明对于所有总禀赋和偏好,存在内点非空的禀赋分布集,使得相关经济至少有特定数量的均衡。
A pure exchange, general equilibrium model is considered and the equilibrium set is studied. It is shown for all total endowments and an open and dense set of preferences that if there arel⩾2 commodities andm⩾2 consumers then there exists a set of distributions of endowments with nonempty interior such that the associated economies have at leastl−1+min{l, m} equilibria forl+min{l, m} even and at leastl−2+min{l, m} equilibria forl+min{l, m} odd.Journal of Economic Literature, Classification Number D51.