Existence of equilibrium for an abstract economy with private information and a countable space of actions

TL;DR

This paper proves the existence of equilibrium in an abstract economy model where agents have private information and countable actions, generalizing previous models by using preference correspondences instead of utility functions.

Contribution

It introduces a generalized model with preference correspondences and establishes two new equilibrium existence results, extending prior work by Yu and Zhang.

Findings

Established equilibrium existence under the new model

Generalized previous utility-based models to preference correspondences

Provided two different proof techniques for equilibrium existence

Abstract

We define the model of an abstract economy with private information and a countable set of actions. We generalize the H. Yu and Z. Zhang's model (2007), considering that each agent is characterised by a preference correspondence instead of having an utility function. We establish two different equilibrium existence results.