The minimum wins access to playoffs in NBA

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Neutrino_somaiyer
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The minimum wins access to playoffs in NBA

Postby Neutrino_somaiyer » Tue Dec 08, 2015 5:33 am UTC

Here is the schedule rules:

Each team have to play:
4 games against the other 4 division opponents, [4x4=16 games]
4 games against 6 (out-of-division) conference opponents, [4x6=24 games]
3 games against the remaining 4 conference teams, [3x4=12 games]
2 games against teams in the opposing conference. [2x15=30 games]


I couldn't figure out the model to calculate the minimum wins a team which can access to playoffs. I really needs some help.

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Xanthir
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Re: The minimum wins access to playoffs in NBA

Postby Xanthir » Wed Dec 09, 2015 12:47 am UTC

Assume that we don't know anything about NBA rules at all (which is true of me). How many teams are in the playoffs? Is it decided by a simple "best record in all games" metric?
(defun fibs (n &optional (a 1) (b 1)) (take n (unfold '+ a b)))

curiosityspoon
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Re: The minimum wins access to playoffs in NBA

Postby curiosityspoon » Wed Dec 09, 2015 3:10 am UTC

There are two conferences, each conference has 3 divisions, and each division has 5 teams. There are 8 playoff spots to be divided among the 15 teams in each conference, allocated such that the team with the best record in each division is guaranteed a spot, and the remaining 5 spots go to the teams with the best record among the 12 non-division-winners.

Trivially, you can have an entire division go 0-66 against their out-of-division schedule, and split the games they play against each other along lines such as "home team always wins". Then you have a division with a five-way tie at 8-74 records, and no matter how you break the tie, one of those teams is going to qualify.

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phlip
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Re: The minimum wins access to playoffs in NBA

Postby phlip » Wed Dec 09, 2015 4:30 am UTC

Is it possible for an individual game to be a tie? How does that affect the rankings?

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curiosityspoon
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Re: The minimum wins access to playoffs in NBA

Postby curiosityspoon » Wed Dec 09, 2015 4:44 am UTC

By rule, no game is supposed to end in a tie: if the game stays tied, you keep playing 5-minute overtime periods until the tie is broken after one of them, much like there's no hard limit on the number of extra innings a game can last in MLB. Logistically, the team has to be at their next scheduled game, which is normally 1-3 days later, so if there's some freak occurrence where no one can score and the game goes to hundreds of overtimes, the commissioner would have to step in with an emergency declaration, similar to what happened at the baseball all-star game in 2002. Since a situation like that in a regular-season game would inevitably be a disaster for ticket sales, there's no telling how they'd change the rules in the aftermath of such a event, and no point trying to predict what the new rules would allow.


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