Big forward, little forward

When most teams play a front two, it comprises of a small quick guy (called the Number Ten) and a big guy (called the Number Nine). The convention is that when the team is defending, one of these two stays up ahead (just beating the off-side mark, wherever the opposition defence line is), while the other tracks back in order to help out with the defence. The worldwide convention in this regard is for the Number Nine to stay up front in anticipation of an attack while the Number Ten drops back to defend.

Liverpool, of late, however, have played differently. Their Number Ten (figuratively, since he wears seven on his back) Luis Suarez is the one usually left alone upfront when the team is defending, while the number Nine Andy Carroll tracks back to help out in defence.

The logic of this policy is two-fold. One, an additional big player coming back to defend means greater ability to win defensive headers within the box (think of it in terms of winning rebounds in basketball). Secondly, Liverpool under Dalglish have preferred a pass-the-ball-out-of-defence method rather than clearances. This means that when the offence breaks and a counterattack is to be launched, the ball is more likely to be played along the ground to the forward rather than up in the air. And Suarez is the more likely of the pair of forwards more likely to make use of that.

So what is the concept behind the conventional wisdom of leaving Nine upfront with Ten dropping back into defence? The typical strategy in English football is to clear the ball out of defence rather than passing it out, and the big number nine is well positioned to receive it upfront. The big nines usually also have the ability to ‘hold up’ the ball, to allow his team-mates to join him. The number ten, being quick, is able to quickly join the number nine in attack.

The other factor behind leaving the number nine upfront is that they are usually one-dimensional players, with the only abilities being to win headers and hold up the ball. They are either no good in defence, or have big strikers’ egos that prevents from joining defence effectively. Number tens, on the other hand are more skilled all-round and are more likely to come of use in defence.

In this sense, Carroll is not bad at defence, and more importantly he is young and out of form, which makes it easy for Dalglish to force him to track back while defending. So far, it seems to be working.

What Should Mexico Do?

If Mexico and Uruguay draw their last league game, then both of them go through to the second round irrespective of what France and South Africa do. However, on account of a better goal difference, Uruguay will qualify as group winners and face the second-placed team from Group B, while Mexico will qualify second and meet the Group B winners, likely to be Argentina.

Uruguay’s option is clear. Play for a draw. If Mexico go for a win, Uruguay should just sit back and try hit back on the counterattack (and in terms of players and style, they are very well equipped for that). Simple case of getting men behind the ball and putting gaaji.

Mexico’s strategy is not so straightforward. The “greedy” thing to do would be to play for a draw, in which case they will most likely end up facing Argentina in the second round (if you remember, Mexico went out last World Cup by losing to Argentina at the same stage). On the other hand, if Mexico beat Uruguay, they will top Group A and meet a potentially inferior team (Korea or Greece) in the second round.

As mentioned earlier, if Mexico go for a win, Uruguay will simply defend and play a counterattacking game which they are good at, so I don’t know if they are going to go for it.

Thinking about it, it comes down to Mexico’s payoff function. I’m sure their payoff is an increasing function of how far they progress in the tournament. However, we should be able to identify one particular “jump” in payoff – some kind of a discontinuity, where the payoff increases considerably for one additional round of progress in the tournament.

If this “jump” is for the second round, Mexico can afford to put Ranatunga Principle, get a peaceful draw against Uruguay and claim their “jump reward”.

If the “jump” is for the quarter-finals, however, then Mexico will want to take the risk at this round in order to get themselves easier opponents in the round of 16 (I’m assuming here that Mexico consider Korea or Greece as much easier opponents than Argentina).

If the “jump” occurs further down in the tournament, I think there is way too much randomness about their potential quarterfinal opponents (especially given the fuzzy results in Groups C and D) and opponents as hard as  (or harder than ) Argentina cannot be ruled out. Nevertheless, they would rather face one tough opponent than two (and I’m assuming here that no team is significantly “harder” for Mexico than Argentina) and so they should put fight to avoid Argentina and thus go for a win.

Considering that they have reached the Round of 16 with reasonable regularity in the last few World Cups, I presume that their “payoff jump” will occur later in the tournament. And based on the above reasoning that means they should go for a win against Uruguay, so that they can try avoid Argentina.

And it is on this thin thread that the French are hanging their hopes (though first they need to thulp South Africa, no easy task).