Arithm{\'e}tique des primes pluri-annuelles

TL;DR

This paper analyzes the arithmetic properties of multi-year bonus systems in education, examining how application success rates and participation influence bonus distribution and considering implications for training strategies.

Contribution

It introduces a simple model to study multi-year bonus allocation, accounting for population participation and success rates, providing insights into the system's dynamics.

Findings

Success rate differs from bonus frequency due to multi-year structure.

Participation rate impacts individual success and bonus distribution.

Training a large part of the population could influence system outcomes.

Abstract

This short note studies the simple arithmetic properties of multi-year bonus allocation systems, as recently implemented in the population of teacher-researchers, with the PEDR on the one hand, and with component 3 of the RIPEC on the other.In the first stage, we study an initial model in which the entire population applies, in order to highlight the effect of the multi-year nature of the award: the success rate of an application is very different from the frequency with which an individual receives the bonus.Secondly, we take into account the fact that part of the population is not a candidate, with cross-influences between the competition participation rate and the individual success rate.In the light of available statistics on agent behavior, we will discuss the possibility of RIPEC training a large part of the population.