_ = printLines(current_scores)
Sometimes a first round loss is no big deal, because you picked that team to exit in the second round.
But sometimes it's a big deal, if you planned to have that pick ride all the way to the Finals.
The measure "Destroyed Value" is how many potential points you've lost -- how many more points you were hoping to get from teams that have already lost.
_ = printLines(destroyed_values)
E(value) is the simulation process expected payoff for you, from first, second and third place showings. This is the expected prize winnings, before subtracting the \$25 entry fee.
Pr(1st), Pr(2nd), and Pf(3rd) are the probabilities of finishing 1, 2, and 3.
Avg-Win is the average of your scores when you win.
Best-Win is the highest of your winning scores. Those who picked more than average number of upsets have lower average and best scores.
_ = printLines(expected_values)
heatMaps(players, teams, ttracker, xy2, 1)
_ = printLines(top_picks)
The simulation uses several ways to weight the likelihood that one team will win over another.
In the first and second rounds, I give strong weight to the seeds. In the third round, I make it more likely a toss-up. And for the Elite 8 forward, I give each game a 50-50 weighting -- I figure if a team has made it that far, it must be pretty good regardless of its initial seed.
Here is a bit more detail about how I am calculating the odds for each game, by round.
Round of 64: in the first round, each team's probability of winning depends on the square of seeds. For instance, an 8 playing a 9 gives the 8-seed a 55.9% chance of winning (81/(81+64)), while the 1 seed playing the 16 seed has a 99.6% chance of winning (256/257).
Round of 32: in the second round, the odds are based on the seeds (not squared). The 1-seed playing the 8-seed has a 88.9% chance of winning, while the 4-seed playing the 5 has a 55.6% chance.
Sweet 16: here I blend the ratio of seeds approach with a 50-50 odds. So a 1-seed playing a 4-seed has a 65% chance of winning (0.5 times (4/5) + 0.5 times 0.5).
Elite 8 and further: every game is rated 50-50 at this stage.
Other weighting schemes may give different results -- if you don't like your Expected Value scores, (some of you) can blame the scheme, not your picks!
Again, these results are for 500,000 simulated paths.
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