Is the player with a farmer in a field, that has the majority in that field, the ONLY player that gets to claim the points for that field?
Yes. Refer to footnote 310 (page 95) that clarifies this. It indicates that ownership is determine as though it were game end. So only the majority holder scores any points.
Rule text:
"Famine - For each of his or her farmers,308 every player receives 1 point for every
completed city adjacent to
his or her farm (in the same way as farms
are scored during final scoring).309 310"
The text "his or her farm" is an indication of ownership. The text inside the parenthesis indicates how to determine the ownership.
"310 The text outside the parentheses is correct - each farmer scores 1 point for each completed
city adjacent to the farm. The portion inside parentheses indicates that only a player with a majority
on the farm is allowed to score the points. Additionally, additional bonus points for pig, pig herd, or
castle are also given, as at the end of the game. (confirmed 5/2013)"
Hope this helps!
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