The rules, as stated, make the game particularly uninteresting. I would suggest instead doing some type of Colonel Blotto game. For instance: Give each player

The rules, as stated, make the game particularly uninteresting. I would suggest instead doing some type of Colonel Blotto game. For instance: Give each player 1000 points^. Points can be used to secretly bid on gifts and/or on players. When the bids are revealed, each gift is temporarily assigned to the highest bidder, but then, immediately re-assigned to the highest bidder on that player. So if you want to get a specific gift, not only should you bid on that gift, but you should also bid on yourself to avoid the gift being reassigned. Or you could put a high bid on someone you think will snatch that gift. ^ or a suitably large number to avoid issues of divisibility.