# Partially Observable Discrete-time Discounted Markov Games with General Utility

arXiv: https://arxiv.org/abs/2211.07888 · HTML: https://mlsanity.com/paper/2211.07888/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 15 Nov 2022.

## Built on by (most cited first, 1 of 1)

- [Partially Observable Stochastic Games with Neural Perception Mechanisms](https://mlsanity.com/paper/2310.11566/) (2023)

## Abstract (arXiv)

In this paper, we investigate a partially observable zero sum games where the state process is a discrete time Markov chain. We consider a general utility function in the optimization criterion. We show the existence of value for both finite and infinite horizon games and also establish the existence of optimal polices. The main step involves converting the partially observable game into a completely observable game which also keeps track of the total discounted accumulated reward/cost.