"Greece and Rome basically ran on Capitalism and the entire medieval period was a debate over capitalism." So Greece, Rome and England are the world...
Joke apart, you should read a little bit more about Middle Ages (Guilds), and about the how titles were distributed. And of course, later, why the new bourgeoisie wanted titles as well...
And then, you can explain the 3 orders following St Augustin.
Capitalism: Wealth creating more wealth, according the definition from the "genius of Humanity" aka Google. or "Capitalism is an economic system based on private ownership of the means of production and their operation for profit. Characteristics central to capitalism include private property, capital accumulation, wage labor, voluntary exchange, a price system, and competitive markets." from the same.
Private property in Medieval Ages: Not really. The 100 years war started because a king confiscated the land of his vassal. In the Tsarist Russia, the Emperor (Autocrat) owned all the lands and lands were redistributed in the Mir System/Obshchina until the Revolution. Even in UK today, (but I might be mistaken) the land still belongs to the Queen who rents it to you for building your house or cultivate it (The Crown is the ultimate owner of all land in England and Wales (including the Isles of Scilly): all other owners hold an estate in land).
A NO is not enough, you have to give your definition of it. Market did exist before capitalism, whatever your exchange system was, cocoa (Inca), rice (Japan), sea-shells (Kingdom of Kongo). And we can debate if the Empire of China was capitalist: the government was bureaucratic and absolutist, order and subordination, so was India and the Caste system.
And as a probable player of Shogun, you are aware of what was the economical system, warriors (and honor) at the top, and merchants at the very low level. Far from Capitalism indeed.
I think you mix-up market economy and capitalism.
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