God exists with probability 1/(H+1)

TL;DR

This paper uses game theory to argue that, under certain assumptions, humans cannot be both rational and believe in an infinitely powerful God, addressing a philosophical question through formal analysis.

Contribution

It introduces a game theoretic framework to analyze the coexistence of rationality and belief in an infinitely powerful God, providing new insights into theological and philosophical debates.

Findings

Humans cannot be both rational and believe in an infinitely powerful God under certain assumptions.

The analysis bridges game theory and theological belief systems.

Provides a formal argument against the simultaneous rationality and belief in an omnipotent deity.

Abstract

This note will address the issue of the existence of God from a game theoretic perspective. We will show that, under certain assumptions, man cannot simultaneously be (i) rational and (ii) believe that an infinitely powerful God exists. Game theory and decision theory have long been used to address this thorny question.