a market dont require the intention of buying and selling, just the exchange of something in return for something else.
Exchange of what? Goods and services for other goods and services of comparable value, or cash, or notes of debt?
Is that not the definition of a market?
Here is a human gathering for you: a funeral. What goods & services are changing hands? And please don't say "the family's savings going to the funeral home".
The context is not funerals or family reunions or random events, it's communities of people interacting over time.
In a funeral, I bloody hell care who comes to grief with me, more importantly, I care about who didn't.