This thread is just to collect some information/links about the game mechanics, from other sources and from my own experiments.

Essential FAQ : https://caesar3.heavengames.com/faqs/index.shtml
Lots of good info on this site as well : http://hypsas.com/

Walker distances
- The walkers from different buildings walk different distances
- Random walkers are blocked by gatehouses, and Destination walkers are blocked by gardens. The interaction between random walkers and gardens are a little less straight forward.

Market and warehouse
- A market lady will only collect food/goods from a granary/warehouse if the northern most tile (default camera perspective) of the market and the northern most tile of the granary/warehouse are at most 40 tiles apart (both vertically and horizontally). In the attached 'distances' screenshot I indicated what I understand to be the northern most tile: so both vertically and horizontally there should at most 39 tiles between the red square of the market and the red square of the granary.
- Warehouses (and I imagine granaries as well) set to 'getting goods' don't seem to have a max distance for fetching goods. Or if it does, it's very far. There just needs to be a road connection.
- There's been a lot of discussions about how a market lady decides what to buy next.
All I checked was that with wheat, veggies, fruit and pottery available, the market lady will buy, in order: wheat, veggies and then fruit before going for pottery. This happened even though the houses in the area only needed 1 food type. The order won't always be like that though - if wheat runs out by the time she returns with fruit, she might (will?) go and get wheat first before going for pottery.
- The market ladies seem to follow this algorithm when distributing food. Here are some examples as I understand it. Note the amount of food eaten by a house in a month is half the number of inhabitants (rounded down it looks like).

Food and goods production
- This summarizes it nicely. Just have to keep in mind that a farm can lose a lot of efficiency if the granary is too far away, because of the time it takes the cart pusher to move between the two.
- Something that confused me initially: A house consumes its food at the start of the month, however goods are consumed 1 at a time, twice a month, for a rate of 2 per month (except for palaces of course when it comes to wine : 4 a month)

I spent a lot of time trying to figure out how the market ladies give food to the houses.

Both the market buyer and market trader distributes food (or rather teleports food from the market straight to a house - i.e. a market lady doesn't have a finite amount of food on her person to distribute at a time).

As far as I can tell, the algorithm for a market lady - house interaction is as follows*

* Well almost, it looks like a market lady only gives two foods at a time sometimes(always?). For example in example 7 below when I tested it by creating such a situation : the market lady first gave the wheat and veggies, and then after she had walked 1 more tile she gave the fruit and fish.

Here are some examples of how the market lady interactions with houses seem to work