A note on incomplete markets
将Balasko的论证方法推广到Duffie和Shafer的不完全市场模型,证明了在紧集上具有m个均衡的经济的勒贝格测度为O(1/m)。
We adapt an elegant piece of reasoning by Y. Balasko [Balasko, Y., 1979. Economies with a finite but large number of equilibria. J. Math. Econ. 6, 145–147.] to the incomplete markets modelled by D. Duffie and W. Shafer [Duffie, D., Shafer, W., 1985. Equilibrium in incomplete markets: I. A basic model of generic existence. J. Math. Econ. 14, 285–300.], and prove that on compact sets of such markets, the Lebesgue measure of economies with m equilibria is O(1m).