The quickest way to work out the strategy in any game is just to play, and then play some more. I recently spent 4 1/2 hours playing Caylus with three slow players, only to discover that the strategy I had adopted didn't work, and to come last, just behind somebody who played badly, and a long way off the leaders. To be honest that experience has really put me off wanting to play Caylus again (though I remain hopeful for Caylus Magna Carta).
Our game of Beowulf wasn't that excessively long, about 90 minutes, probably 15-20 too many. I concentrated much more on gold than everybody else, winning several gold auctions, and having most gold at the final event. But I made a mistake in not winning the All Iron Shield, underestimating the competition at the Dragon Battle, and ended up taking the double wound tile. As I was on two wounds already, that took me way out of contention, the final scores being something like Tony 28, Bekki and Fee both low 20s, and I think I scored exactly zero.
Beowulf is one of those games were the scores don't always tell the entire story, usually due to some criticality in the scoring system. In the case of Beowulf one possibility is what occured to me: the two wounds I had coming into the Dragon Battle won't cost me any points, but if I take the double wound tile then I get -20! So I either get a respectable score in the 20s, or a nothing score that puts me last.
I'm pretty certain I had the worse luck in the risking (at one point one of the girls flipped over two matching double symbol cards to give +4 to their bid!), but to be honest that didn't bother me too much. Firstly I feel the luck is acceptable for a light-ish 60 minute game. And secondly I feel that one of the reasons Beowulf gets bad rap for the luck is because it's out in the open. I find that games like Amun-Re and Goa can have huge swings in drawing the right power cards, at the right time, but because the draws are hidden nobody knows when somebody gets lucky.
After Beowulf we play Ticket to Ride. I got Tony the 1910 expansion for Christmas, and it's really invigorated the game. The improved tickets and the 15 point most routes bonus really help remove the complete dominance of the long E-W routes.
Having said that my three opening tickets are LA - New Orleans, Las Vegas - New York and Portland - Houston (I might have mixed these up, but you get the idea). Three East cost to West Coast tickets! So I keep all three and set to work connecting LA-Vegas-Portland, and Houston-New Orleans-New York, and then trying to get across the country.
I had planned to take the southcoast between LA and Houston (thanks to TTR I think of it as a coast despite the existence of Mexico) but these routes get taken, so I have to go through the centre of the country from Vegas. This game actually demonstrated how easy it is to make you routes in four player TTR even when it gets congested. At one point Fee, Tony and I were both trying to navigate through the cities just north of Houston and Dallas, and in the late game Fee, Bekki and I were all going down the East Coast. In both cases thanks to the many alternative and double routes everybody got were they needed to go, despite the congestion.
Still, if I'd not made my cross-country connection I'd have failed all of my tickets for -50 points and my second score of almost zero for the evening!
Instead I complete my three tickets for fifty bonus points and second place. Tony has completed four tickets, which included a couple of long ones to win by some way. Bekki and Fee also had four tickets to also earn the 15 points, but their tickets were of much lower value.
We finshed with a four player game of San Juan. I used to find this very average four player, but it's growing on me. You have to value points over income much more than in three or two player. In particular I'd always be very loathe to ditch a monument, even very early. I build a first turn Prefecture, then Gold Mine and Silver, and that basically all the income you need. After that I build a couple of monuments and a City Hall and still have Triumphal Arch in hand. So the game is basically mine: Tony has raced out with Poor House, but doesn't have many points or a Crane, and Fee and Bekki have merely average positions. I get a late Palace off my Gold Mine to make the scores look really lopsided, but I didn't need it. The 9 point palace just stopped me building a 6 point Victory Column.
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