Download Abstract: The economic literature with a measure space of agents is

Abstract: The economic literature with a measure space of agents is enormous,
where one usually works with an atomless countably additive measure space to model
individual negligibility. However, there have been a number of attempts to drop the
countable additivity assumption by working with countably many agents with a
purely finitely additive measure. The main purpose of this paper is to illustrate the
necessity of countable additivity in modeling
infinitely many agents in terms of
the existence of equilibria and the idealized limit property in general equilibrium
theory and game theory.