Gold, silver and bronze in the balance












1












$begingroup$


Okay, i've given up on diagrams for this:



Equivalent of weighing coins to find three heaviest in order.




How to find the three best teams or individuals, in order, from a field of dozens?




Could be thought of as a gold medal, silver medal and bronze.



Round-robin can result in inconclusive loops.

 Silver awardee should beaten only by gold awardee.

 Bronze awardee should only be beaten by silver, possibly also gold. awardee.

 Everyone else should've been beaten by bronze (possibly also gold and/or silver) awardee.



A recent winter olympics play-off type
event
resulted in no medal for the presumed
third-best skier (Langenhorst?) because she lost early in a one-and-out contest
to the eventual gold medalist. She never got to challenge the silver or bronze
medalists. The system as solution minimizes the average number of matches for
the sake of fair results.



Warning: The solution found by poser does not easily lend itself to "bracket" format.









share









$endgroup$












  • $begingroup$
    Imma come right out and say it. Doesn't this tag need a logical-deuction tag? Like it totally seems like it.
    $endgroup$
    – North
    4 secs ago
















1












$begingroup$


Okay, i've given up on diagrams for this:



Equivalent of weighing coins to find three heaviest in order.




How to find the three best teams or individuals, in order, from a field of dozens?




Could be thought of as a gold medal, silver medal and bronze.



Round-robin can result in inconclusive loops.

 Silver awardee should beaten only by gold awardee.

 Bronze awardee should only be beaten by silver, possibly also gold. awardee.

 Everyone else should've been beaten by bronze (possibly also gold and/or silver) awardee.



A recent winter olympics play-off type
event
resulted in no medal for the presumed
third-best skier (Langenhorst?) because she lost early in a one-and-out contest
to the eventual gold medalist. She never got to challenge the silver or bronze
medalists. The system as solution minimizes the average number of matches for
the sake of fair results.



Warning: The solution found by poser does not easily lend itself to "bracket" format.









share









$endgroup$












  • $begingroup$
    Imma come right out and say it. Doesn't this tag need a logical-deuction tag? Like it totally seems like it.
    $endgroup$
    – North
    4 secs ago














1












1








1





$begingroup$


Okay, i've given up on diagrams for this:



Equivalent of weighing coins to find three heaviest in order.




How to find the three best teams or individuals, in order, from a field of dozens?




Could be thought of as a gold medal, silver medal and bronze.



Round-robin can result in inconclusive loops.

 Silver awardee should beaten only by gold awardee.

 Bronze awardee should only be beaten by silver, possibly also gold. awardee.

 Everyone else should've been beaten by bronze (possibly also gold and/or silver) awardee.



A recent winter olympics play-off type
event
resulted in no medal for the presumed
third-best skier (Langenhorst?) because she lost early in a one-and-out contest
to the eventual gold medalist. She never got to challenge the silver or bronze
medalists. The system as solution minimizes the average number of matches for
the sake of fair results.



Warning: The solution found by poser does not easily lend itself to "bracket" format.









share









$endgroup$




Okay, i've given up on diagrams for this:



Equivalent of weighing coins to find three heaviest in order.




How to find the three best teams or individuals, in order, from a field of dozens?




Could be thought of as a gold medal, silver medal and bronze.



Round-robin can result in inconclusive loops.

 Silver awardee should beaten only by gold awardee.

 Bronze awardee should only be beaten by silver, possibly also gold. awardee.

 Everyone else should've been beaten by bronze (possibly also gold and/or silver) awardee.



A recent winter olympics play-off type
event
resulted in no medal for the presumed
third-best skier (Langenhorst?) because she lost early in a one-and-out contest
to the eventual gold medalist. She never got to challenge the silver or bronze
medalists. The system as solution minimizes the average number of matches for
the sake of fair results.



Warning: The solution found by poser does not easily lend itself to "bracket" format.







sports





share












share










share



share










asked 4 mins ago









humnhumn

14.8k442133




14.8k442133












  • $begingroup$
    Imma come right out and say it. Doesn't this tag need a logical-deuction tag? Like it totally seems like it.
    $endgroup$
    – North
    4 secs ago


















  • $begingroup$
    Imma come right out and say it. Doesn't this tag need a logical-deuction tag? Like it totally seems like it.
    $endgroup$
    – North
    4 secs ago
















$begingroup$
Imma come right out and say it. Doesn't this tag need a logical-deuction tag? Like it totally seems like it.
$endgroup$
– North
4 secs ago




$begingroup$
Imma come right out and say it. Doesn't this tag need a logical-deuction tag? Like it totally seems like it.
$endgroup$
– North
4 secs ago










0






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