rfect information VPI</em> - assume we can obtain exact evidence for a variable (ex. variable <span class="math notranslate nohighlight">\(T=t\)</span>)</p>
<ul>
<li><p><span class="math notranslate nohighlight">\(VPI(T) =  \mathbb{E}_{T}\left[ EU(\alpha|e, T) \right] - \underbrace{EU(\alpha \vert e)}_{\text{original EU}}\)</span></p></li>
<li><p>first term expands to <span class="math notranslate nohighlight">\(\sum_t P(T=t \vert e) \cdot EU(\alpha \vert  e, T=t) \)</span></p>
<ul>
<li><p>within each of th