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A Payoff Table Is Shown Below The Following Prior Probabilities Are Assigned to the States of }
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A payoff table is shown below.  Alternative  State of Nature a1a2a3s12183s212127s315913\begin{array} { ccc }&\text { Alternative }\\\text { State of Nature }& a_{1} & a_{2} & a_{3}\\s_{1} & 21 & 8 & -3 \\s_{2} & 12 & 12 & 7 \\s_{3} & -15 & 9 & 13\end{array}
The following prior probabilities are assigned to the states of nature:
P( S1S _ { 1 } ) = 0.2, P( S2S _ { 2 } ) = 0.7, P( S3S _ { 3 } ) = 0.1.
a. Determine the EMV decision.
b. Set up the opportunity loss table.
c. Determine the EOL decision.
d. What is the expected payoff with perfect information?
e. What is the expected value of perfect information?

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Definitions:

Objective Criteria

Objective criteria are quantifiable, measurable standards used to assess or evaluate performance, outcomes, or decisions without personal bias or subjectivity.

Integrative Agreements

Solutions in negotiations that involve creative problem-solving to achieve outcomes that are beneficial for all parties involved, often leading to a win-win situation.

Fundamental Disagreement

A deep and basic difference in opinions, beliefs, or values between individuals or groups.

Integrative Agreements

Negotiation outcomes that all parties find satisfactory because they creatively address all interests.

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