Of course, the side condition that for each \(w\in W\), \(p_i(\Pi_i(w))&gt;0\) is important since we cannot divide by zero—this will be discussed in more detail in later sections. Indeed, (assuming \(W\) is  finite[11]) given any epistemic-plausibility model we can find, for each agent, a prior (possibly different ones for different agents) that generates the model as described above. This is not only a technical observation: it means that we are assuming that the players’ beliefs about the outcome of the situation are fixed ex ante with the ex interim beliefs being derived through conditionalization on the agent’s hard information. (See Morris 1995 for an extensive discussion of the situation when there is a common prior.) We will return to these key assumptions throughout the text.