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A payoff table presents different decision alternatives and their potential outcomes, typically arranged in a matrix format, allowing for a straightforward comparison of expected values under various scenarios. In contrast, decision trees graphically represent decisions and their possible consequences, including chance events, and illustrate the sequential nature of decision-making. While payoff tables are best for simpler scenarios with discrete outcomes, decision trees are more effective for complex situations involving multiple stages and uncertainties. Both tools aid in decision analysis but serve different purposes in visualizing and evaluating decisions.

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How can you calculate a minimax regret to make a decision?

To calculate minimax regret, you first need to construct a regret table by determining the regret for each decision in each possible state of nature. Regret is calculated by taking the difference between the payoff of the best decision for a given state of nature and the payoff of the decision being evaluated. Once you have the regret table filled out, find the maximum regret for each decision and then choose the decision with the minimum of these maximum regrets as your optimal decision.


What is a payoff table?

A payoff matrix is a decision analysis tool that summarizes pros and cons of a decision in a tabular form. It lists payoffs (negative or positive returns) associated with all possible combinations of alternative actions (under the decision maker's control) and external conditions (not under decision maker's control). Also called payoff table.


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