If a strategy profile is a nash equilibrium a. players may be using a weakly dominated strategy. b. players maximize their own payoffs. c. players are using a strictly dominant strategy. d. all the other answer options are correct.

b. Players maximize their own payoffs.

Explanation:

Nash equilibrium, one of the most important tools of Game Theory, is the name given to players' strategy choices with certain features. According to the Nash equilibrium, each individual should try to do the best he can, taking into account the movements of other individuals with whom he is involved. In other words, the preferences of the individual depend on the preferences of others. In this case, the individual is expected to take an attitude not only in his own interest but also in the interests of others. Each individual should try to do the best he can, by seeing the movements of all the other individuals with whom he has a relationship. Let each player choose one of the actions he has in the game, and let's assume that all players make such a choice. If the action chosen for one player is the best action (in terms of return) that is taken into consideration by the action chosen by other players, and this feature is provided for all players, these actions create a Nash Equilibrium. Players can choose lean actions as well as choose to play multiple actions with a certain probability. Nash Balance is named after the American mathematician John Nash, who made important contributions to the concept of Game Theory. The first person to make an analytically similar observation is a French mathematician named Antoine Augustin Cournot. Cournot observed and detailed this phenomenon for a theoretical market where the two companies simultaneously determined the amount of production. In his doctoral dissertation in 1950, John Nash received the 1994 Economy Nobel Prize, proving that this balance exists in all games where the utility functions of players provide certain features.