Answer:
the Nash equilibrium for both players is to collude
Explanation:
A duopoly is when there are two firms operating in an industry.
Game theory looks at the interactions between participants in a competitive game and calculates the best choice for the player.
Dominant strategy is the best option for a player regardless of what the other player is playing.
Nash equilibrium is the best outcome for players where no player has an incentive to change their decisions.
the Nash equilibrium for both players is to collude because it is the best outcome for both players. if, a player cheats, there is a chance that the other player would cheat and both firms would end up earning a zero economic profit
Based on the various payoffs to be made, the Nash Equilibrium for this game would be that both firms should collude.
The Nash Equilibrium is the outcome that would be most beneficial for both firms to stay in. If either of them leave, they would incur losses.
If both firms decide to collude and one cheats, the other firm would cheat as well to avoid making a loss which would lead to both of them making zero economic profit.
Both firms will therefore collude so as to make $50,000 a piece.
In conclusion, the Nash Equilibrium is collusion between the two firms.
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