Roy-Consistent Expectations
证明在罗伊一致性预期下，短期需求函数的斯卢茨基矩阵具有对称性；若加上未来实际收入二阶变动的限制，则矩阵还满足负半定性。
In this paper two results are presented. Both refer to the impossibility theorem of Polemarchakis (1983). The Slutsky matrix of intratemporal and intertemporal substitution effects, associated with the individual short-run demand functions, is not arbitrary but symmetric if expectations are (strongly) Roy-consistent (and if the short-run marginal utility of income is continuously differentiable). The same matrix is symmetric and negative semi-definite under strong Royconsistency and a restriction on the expected second-order variation of future real income. These two results suppose a preliminary axiomatization of expectation functions. Weak and strong Roy-consistency are defined within this axiomatization.