A Market Value Approach to Approximate Equilibria
提出用超额需求的市场价值衡量非均衡程度,证明在固定交换经济中存在近似均衡,其非均衡度量仅取决于禀赋而非偏好,并得到相关边界和近似竞争性分配的存在性。
We consider the market value of excess demand as a measure of disequilibrium. We show that, in a fixed exchange economy, there exist approximate equilibria whose measures of disequilibrium depend only on the endowments and not on the preferences. A related bound on the norm of excess demand, depending on the endowments and the approximate equilibrium price, is also obtained. We show the existence of allocations which are nearly competitive, as measured by the largest proportion of demand given up at the allocation by any trader. We use these results to obtain, for very general sequences of exchange economies, allocations giving all traders bundles close in norm to their demands. This result includes a 0(l1/n) rate of convergence in the case of uniformly bounded endowments.