Nash equilibrium is a set of strategies in which each player's strategy is considered as the best option for that player, based on the chosen strategy of their opponents.
<h3>What is a strategy?</h3>
A strategy refers to a set of guiding principles, actions, behavior, and decisions that a player strategically combines, so as to successfully achieve his or her goals, objectives, and possess a competitive advantage over opponents.
In game theory, it should be noted that Nash equilibrium is a set of strategies in which each player's strategy is considered as the best option for that player, based on the chosen strategy of their opponents.
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The conclusion that can be drawn about the second punic war from the information in the map is;
D) Rome had enemies both on the Italian peninsula and in North Africa.
<h3>Facts about the Second Punic War</h3>
From the second punic war from the information on the map, we can tell that the Roman Republic were fighting against the Carthaginian empire which was based in Northern region of Africa.
Now, some kingdoms in the Italian peninsula allied themselves with the Carthage empire.
Finally, we can say that Rome had enemies in North Africa (Carthage empire) and on the the kingdoms of the Italian peninsula that allied themselves with the Carthage empire.
In conclusion, the correct answer is that Rome had enemies on the Italian peninsula and in northern Africa.
The missing options are;
A) Rome had established firm control of the Italian peninsula prior to the Second Punic War.
B) The Roman's allies played a key role in their victory on the Italian peninsula.
C) Rome was also at battle with the Carthaginians over territory in the Eastern Mediterranean.
D) Rome had enemies both on the Italian peninsula and in North Africa.
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