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According to the 2000 census about 10.30% of families and 13.40% of the population are below the poverty line. These percentages are for all of Nash County and not for one particular place or area.

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Is there Nash equilibrium in this game?

Yes, there is. Every game has a Nash equilibrium.


Can a game have a Nash equilibrium if a player does not have a dominant strategy?

Yes, a game can have a Nash equilibrium even if a player does not have a dominant strategy.


What is the relationship between dominant strategy and Nash equilibrium in game theory?

In game theory, a dominant strategy is a player's best choice regardless of what the other player does. A Nash equilibrium is a situation where no player can improve their outcome by changing their strategy, given the strategies chosen by the other players. In some cases, a dominant strategy can lead to a Nash equilibrium, but not all Nash equilibria involve dominant strategies.


What is the relationship between Nash equilibrium and dominant strategy in game theory?

In game theory, Nash equilibrium is a situation where each player's strategy is optimal given the strategies of the other players. A dominant strategy is a strategy that is always the best choice for a player, regardless of the choices made by other players. In some cases, a dominant strategy can lead to a Nash equilibrium, but not all Nash equilibria involve dominant strategies.


How can one determine the Nash equilibrium in a 3x3 game matrix?

To determine the Nash equilibrium in a 3x3 game matrix, one must identify the strategy combination where no player can benefit by changing their strategy unilaterally. This occurs when each player's strategy is the best response to the strategies chosen by the other players. The Nash equilibrium is found at the intersection of these best responses.