Can you eliminate weakly dominated strategies




















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It can even be used for aromatherapy and skin care treatments as well. Dominant strategies are considered as better than other strategies, no matter what other players might do. In game theory , there are two kinds of strategic dominance:. A dominant strategy equilibrium is reached when each player chooses their own dominant strategy. It must be noted that any dominant strategy equilibrium is always a Nash equilibrium. However, not all Nash equilibria are dominant strategy equilibria. The elimination of dominated strategies is commonly used to simplify the analysis of any game.

This method is quite easy to use when only strictly dominated strategies are in place, but the elimination of weakly dominated strategies can turn problematic, ending up with a game that does not resembles the original one from a strategic point of view.

A good example of elimination of dominated strategy is the analysis of the Battle of the Bismarck Sea.

In this game, as depicted in the adjacent game matrix, Kenney has no dominant strategy the sum of the payoffs of the first strategy equals the sum of the second strategy , but the Japanese do have a weakly dominating strategy, which is to go North the payoffs are equal for one strategy but strictly better for the other. Since only one of them has a dominant strategy, there is no dominant strategy equilibrium. Sign up to join this community. The best answers are voted up and rise to the top.

Stack Overflow for Teams — Collaborate and share knowledge with a private group. Create a free Team What is Teams? Learn more. Nash equilibrium: Can I delete weakly dominated strategies in this case? Ask Question. Asked 6 years, 9 months ago. Active 3 years, 9 months ago. Viewed 4k times. In order to better illustrate my question, I will work through an example. Question Question 45 1 1 silver badge 5 5 bronze badges.

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