Brant
Brownlow Medallist
Too much colour. I think it adds bias.A lot of people seem to struggle with why Frawley, who has played more bad games than good this year, is picked ahead of Brand. I think part of this anxiety over Brand's absence stems from the dark years from 2009-2012 where the best KPP we had was a young shoey and we had become accustomed to KPF taking contested marks against us. I think this causes us to take a little blind eye to Brand's short comings because 'at least we don't feel like we did back in the dark days of no KPDs'.
However, I have put together a series of graphs which I hope visualises the decision Clarko is making by choosing Frawley over Brand.
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The figure above represents a quick and dirty microeconomic analysis of Clarko's preference for Frawley over Brand. The x axis is zone defending and the y axis is one v one defending. The red line shows that Brand is a 10 for one v one defending but only a 4 for zone defending. The green line shows that Frawley is only a 4 for one v one defending and an 8 for zone defending. Based on the area under the red line and the green line (20 for Brand, 16 for Frawley), Brand is represented as the superior player over all (in microeconomics these lines represent budget lines so we can view them as potential output...I did mention this was quick and dirty!). IF the only criteria was overall defending ability, Brand would be playing ahead of Frawley. However, this ignores Clarko's preference. The blue represents Clarko's indifference curve or, in other words, Clarko prefers all points along that blue line equally. Clarko's happiness is maximised when the blue line is positioned as far right and as high as it can (but it has to touch one of the lines).
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Now imagine that you can put that blue line anywhere on the chart however it still must be touching either the green line or the red line. If you move the blue line down and to the left so it is touching Brand's line (see the purple line), you can find a way for Clarko's indifference curve to touch Brand's line, however, the purple line would make Clarko less happy than than the blue. The key to this is the rate at which Clarko will trade out one v one defence for zone defence.
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In this figure I have increased Brand's one v one defence to 21 in order for it to touch Clarko's indifference curve. Clarko would be equally happy to play Brand or Frawley in this situation as both the red and the green line touch the same indifference curve and Clarko is equally happy with all points along the blue line. However, we had to more than double Brand's one v one defence so that he is now more than 5 times better in one v one and the area under his line is now 42 compared to Frawley who is still 16. So Clarko is equally happy with either player even though on potential, as described in this figure, Brand is roughly a 2.5 times better player! I don't think Brand is that much better than Frawley but even if he was exactly 5 times better (score of 20) than Frawley at one v one defending, he still would not be picked ahead of Frawley as only a lower indifference curve will touch the red line and a lower indifference curve makes Clarko less happy than a higher indifference curve.
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In this figure I return Brand's one v one defence to 10 but adjust his zone defence to 6.25. At this level Brand's line touches the Clarko's blue indifference curve again. In this case the red line touches at approximately 5 zone defence and 2 one v one defence. Contrast that with the previous graph in which the red line touches the blue line at approximately 2 zone defence and 12 one v one. Remember, all these combinations (including Frawley's point) make Clarko equally happy. In this case, the area under Brand's red line is 31.25 which is almost double Frawley's 16 however it only places them on EQUAL terms in Clarko's eyes. What it highlights is that you can be a lessor player but so long as you are good at what Clarko prefers more, it will be easier to get a game than if you are really good at less preferred skills and poorer at the most preferred skills (i.e. being good at zone defence makes it easier to get a game than being good at one v one defence).
I know what you are thinking, 'Bris', you could have just said that Clarko picks Frawley because he is better at zoning than Brand'. The thing is, I have said it and so have others but people just don't want to believe that Clarko is making a rational choice and instead believe he is just playing favourites. What I have tried to highlight (without going overboard) is that a perfectly rational person could pick Frawley ahead of Brand across a range of potential circumstances even where Brand is more than twice the player as Frawley because of where Frawley is strong compared to Brand and because of Clarko's strong preference for zone defence over one v one defence right up until the extreme right end of his indifference curve. The numbers I have used are not real, I have simply created a set of numbers that reflect what we are seeing on the team sheet every week. Choosing Frawley over Brand is what economists call a revealed preference. Clarko has never picked Brand ahead of Frawley except where Frawley is injured. If it helps you digest it, this is the kind of moneyball analysis which would cause a list manager to recruit the lessor player over the better player because he gives more of what the team needs for less. This analysis could potentially be used to explain a whole bunch of players big footy punters have labeled 'Clarko's favourites' but I'm not going to attempt to analyse anyone else. Use you imaginations
I'd suggest Mira playing this week is a way of offsetting the lose of Frawley to the structure - and I mean both his physical presence and his voice at directing players around him to be in the right spot at the right time (Brand, I'm looking at you). Anyway, I have glossed over a lot of assumptions built into the model above but I hope I have provided enough of an insight to understand why Brand plays at Box Hill and Frawley plays for Hawthorn. If Brand does get good enough at zone defence (or whatever it is that Clarko judges these players on) then he will get games and in time I'd hope he would become a better player.
Can you do the same but in black & white?