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Do locations buy goods from the market in an order that is determined by market access (i.e. highest access buys all their demanded goods first, then second highest, and so on),
Please @Johan at that time Barcelona was barely 15k town. Valencia was the commercial capital with around a 100k, dealing with all the silk trade, even becoming capital of the Kings due to its importance.
My CD Team says that their research shows that those numbers are more akin to the 15th century, when Barcelona was in relative decadence, and Valencia in its golden age. In 1337, approximate numbers would be Barcelona about 25-35K, Valencia 20-25K, and Palma around 15-20K inhabitants; for that and other reasons, Barcelona was still the main trading center of the Crown of Aragon. We have a Castilian, a Catalan, an Aragonese, and a Basque on the team, so they have great fun discussing the historical setup for the Iberian Peninsula, and are also glad to receive feedback about it.
Sorry, I am afraid I still don't quite understand. Does physically controlling the location hosting the market give you more merchant power or something similar? Because from what I can see maximizing merchant power + capacity is what you need to produce any kind of profit, regardless of who controls the actual location.