In the rule “Fun and Games”, replace

Only the Captain of an Activity may end that Activity, and only when the Activity is Over as defined by the Rules of the Game of the Activity.

with

The Captain of an Activity may end that Activity, but only when the Activity is Over as defined by the Rules of the Game of the Activity. The Host may end the Activity under the same circumstances, and should do so before resolving the party. If the Party ceases to be Ongoing before the Activity is Over, the Activity ends without a winner. An activity cannot end except by one of the causes from this paragraph or by CfJ.