Stochastic and temporal dominance criteria.

Summary The main objective of the thesis is to provide instruments, criteria for comparing uncertain income flows over time. For example, investment projects, consumption plans, and salary careers generate incomes that are considered random over several periods. The author therefore first reviews stochastic dominance criteria, which allow us to compare uncertain income distributions over a period, by comparing the distributions or their inverses. The analogy with tools for comparing the inequality of income distributions between companies is highlighted. Then, original criteria of temporal dominance, allowing the comparison of certain incomes over several periods, are provided. The thesis then gives the criteria allowing the comparison of either the utility expectation of present values or the present value of utility expectations, the stochastic and temporal dominance criteria. The thesis concludes with a comparison of the indexed careers of some teachers in the French National Education system, followed by a comparison of two samples of university professors' salary careers.