Population Principles with Number - Dependent Critical Levels

This paper introduces and characterizes the number-sensitive critical-level generalizedutilitarian family of population principles which is a generalization of the critical-level generalized-utilitarian family. number-sensitive critical-level utilitarian principles rank alternatives by using a value function that is equal to total utility minus a sum of critical levels that may depend on population size but not on individual utilities, and numbersensitive critical-level generalized-utilitarian principles use transformed utilities and critical levels. Ethical properties of the principles are investigated and the new family is compared to number-dampened generalized utilitarianism whose value functions are equal to transformed representative utility (average utility in the utilitarian case) multiplied by a function of population size. Journal of Economic Literature Classification Number: D63.