... is the amount of consumption in period j. To gain a better understanding of the nature of the limitations in- herent in utility functions of the form (1 -51, let us examine some con- ... returns, the interest rate, and the individual's one-period utility function of consumption. It is then conjectured in 2. 11 that the class of utility functions examined is the only one for ... es- sentially constitute a study of the implications of a continuous and stationary ordering of infinite consumption programs. Notation. The bundle of n commodities consumed in period j,...