Which theory of government did the seventeenth and eighteenth century philosophers john locke. jean-jacques roueseau, and thomas hobbes support

 SOCIAL CONTRACT theory

Explanation:

In modern political theory, Thomas Hobbes was the first to point to the social contract as the source of a government's authority.  His argument still supported a strong monarch style of government for the sake of a country's security and stability -- whoever was put in charge of government needed to have absolute power.  But Hobbes was asserting that a government's power came from the people, not something granted from God (as was previously thought). Thomas Hobbes published his political theory in Leviathan  in 1651, following the chaos and destruction of the English Civil War.  He saw human beings as naturally suspicious of one another, in competition with each other, and evil toward one another as a result.  Forming a government meant giving up personal liberty, but gaining security against what would otherwise be a situation of every person at war with every other person.

Later Enlightenment philosophers such as John Locke and Jean-Jacques Rousseau expanded on the social contract theory and gave the people an ongoing role of sovereignty, rather than seeing the ruler as the sovereign once he was in power.

because mexico wanted to choose a centralized location

the answer is richard nixion