---
title: "Zero-Sum Game"
source: https://www.jemoka.com/posts/kbhzero_sum_game/
---

A Zero-Sum Game happens during the following situation:
We have two distributions \(X\) and \(Y\). A &ldquo;Zero-Sum Game&rdquo; is a case where:
\begin{equation} P(success) = P(Y &gt; X) \end{equation}
(because \(Y&gt;X \implies X&lt; Y\), so there&rsquo;s no case whereby a situation can both &ldquo;cause success&rdquo;).
