Consider the following game: 
Find the mixed-strategy Nash equilibrium.
Definitions:
American Revolution
The period (1765-1783) during which the thirteen American colonies fought for and gained independence from British rule.
Hamilton's Concept
Refers to Alexander Hamilton's financial policies designed to stabilize the American economy, including the creation of the national bank and assumption of state debts by the federal government.
Republican Man
A term that references the ideals of Republicanism in the context of American politics and society, historically highlighting civic virtue and participation.
Economic Self-Interest
The motivation driving individuals or entities to act in a way that is most beneficial to their financial and material well-being.
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