Estratégia mista esperada

E = p₁·u₁ + p₂·u₂.
Created by
Renato Passos, Eng. de Software
Reviewed by
Renato Passos, Eng. de Software

Last updated: Apr 18, 2026

Utilidade esperada
2,50

Formula

E = p·u₁ + (1-p)·u₂

About this calculator

The Mixed Strategy Expected is a tool used in Game Theory to calculate the expected outcome of a mixed strategy in a game. It works based on the probability of choosing each action and the associated payoff. The formula used is E = p·u₁ + (1-p)·u₂, where 'p' is the probability of choosing the first action, 'u₁' and 'u₂' are the payoffs associated with each action, and '(1-p)' is the probability of choosing the second action.

This strategy is commonly used in games where players have more than one option of action and the consequences of each choice are different. It helps to determine the best combination of actions that maximizes the expected gain. The mixed strategy is especially useful in situations where there is uncertainty about the opponent's action.

When using the Mixed Strategy Expected, it is important to consider the payoffs associated with each action and the probabilities of choice. This helps to ensure that the chosen strategy is optimal and maximizes the expected gain. Additionally, it is essential to remember that the mixed strategy is based on probabilities, therefore, it involves uncertainty.

The application of the Mixed Strategy Expected can be seen in several fields, such as economics, politics, and biology. It provides a framework for analyzing conflict and competition situations, allowing players to make informed decisions about their actions.

Frequently asked questions

What is the Mixed Strategy Expected?

The Mixed Strategy Expected is a Game Theory tool that calculates the expected outcome of a mixed strategy, considering choice probabilities and associated payoffs.

When to use the Mixed Strategy Expected?

Use when there are multiple action options with different consequences and uncertainty about the opponent's action.

How to calculate the expected outcome?

Use the formula E = p·u₁ + (1-p)·u₂, where 'p' is the probability of choosing the first action, 'u₁' and 'u₂' are the payoffs.

What are the precautions when using this strategy?

Consider payoffs and choice probabilities carefully, and remember it involves uncertainty.

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