KPB ranking system - Revision history

Damukuni: Noted retirement of legacy KPB system in favor of KPB+.

2025-01-24T20:46:58Z

Noted retirement of legacy KPB system in favor of KPB+.

← Older revision		Revision as of 20:46, 24 January 2025
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	The '''KPB ranking system''' ~~is the current~~ system used to rank nations participating in the [[World Cup]] and related events. The name KPB comes from the initials of the two nations involved in its creation: it was developed by [[Kaze Progressa]] during [[World Cup 9]], with the principal modification made shortly afterward by [[Bedistan]] to ensure that Cup hosts did not suffer an unnatural loss of rank due to not participating in the qualifying stages.		The '''KPB ranking system''' was a system used to rank nations participating in the [[World Cup]] and related events from [[World Cup 9]] to [[World Cup 97]].

			The name KPB comes from the initials of the two nations involved in its creation: it was developed by [[Kaze Progressa]] during [[World Cup 9]], with the principal modification made shortly afterward by [[Bedistan]] to ensure that Cup hosts did not suffer an unnatural loss of rank due to not participating in the qualifying stages.

	For each competition, the total number of points (three per win, one per draw) earned by each team is divided by the maximum possible number of matches. It is then multiplied by some constant, depending on the type of competition and how long ago it occurred. The numbers are finally added together, and the nation with the most KPB points is officially considered the best in the world.		For each competition, the total number of points (three per win, one per draw) earned by each team is divided by the maximum possible number of matches. It is then multiplied by some constant, depending on the type of competition and how long ago it occurred. The numbers are finally added together, and the nation with the most KPB points is officially considered the best in the world.

			Beginning with [[World Cup 98]] qualifying, the KPB ranking system was succeeded by a new formula, known as [[KPB+ ranking system\|KPB+]].

	== The formula ==		== The formula ==

>Tinhampton: Corrected CoH multipliers (2.5-1.25-0.625, NOT 1.5-0.75-0.375). Updated BoF multipliers to take account of Amendment 1. Many aesthetic changes. Slightly fewer mathsy changes.

2022-11-04T14:07:17Z

Corrected CoH multipliers (2.5-1.25-0.625, NOT 1.5-0.75-0.375). Updated BoF multipliers to take account of Amendment 1. Many aesthetic changes. Slightly fewer mathsy changes.

← Older revision	Revision as of 14:07, 4 November 2022
(No difference)

>Tinhampton: Corrected CoH multipliers (2.5-1.25-0.625, NOT 1.5-0.75-0.375). Updated BoF multipliers to take account of Amendment 1. Many aesthetic changes. Slightly fewer mathsy changes.

2022-11-04T14:07:17Z

Corrected CoH multipliers (2.5-1.25-0.625, NOT 1.5-0.75-0.375). Updated BoF multipliers to take account of Amendment 1. Many aesthetic changes. Slightly fewer mathsy changes.

← Older revision		Revision as of 14:07, 4 November 2022
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	The '''KPB ranking system''' is the current system used to rank nations participating in the [[World Cup]] and related events. The name KPB comes from the initials of the two nations involved in its creation~~. It~~ was developed by [[Kaze Progressa]] during [[World Cup 9]], with the principal modification made shortly afterward by [[Bedistan]] to ensure that Cup hosts did not suffer an unnatural loss of rank due to not participating in the qualifying stages.		The '''KPB ranking system''' is the current system used to rank nations participating in the [[World Cup]] and related events. The name KPB comes from the initials of the two nations involved in its creation: it was developed by [[Kaze Progressa]] during [[World Cup 9]], with the principal modification made shortly afterward by [[Bedistan]] to ensure that Cup hosts did not suffer an unnatural loss of rank due to not participating in the qualifying stages.

	For each competition, the total number of points (three per win, one per draw) earned by each team is divided by the maximum possible number of matches. It is then multiplied by some constant, depending on the type of competition and how long ago it occurred. The numbers are finally added together, and the nation with the most KPB points is officially considered the best in the world.		For each competition, the total number of points (three per win, one per draw) earned by each team is divided by the maximum possible number of matches. It is then multiplied by some constant, depending on the type of competition and how long ago it occurred. The numbers are finally added together, and the nation with the most KPB points is officially considered the best in the world.
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	**h = Cup of Harmony		**h = Cup of Harmony
	**b = Baptism of Fire		**b = Baptism of Fire

			Given that a team can only enter one WCC-sanctioned Baptism of Fire and each of the last three BoFs have been WCC-sanctioned, we can say that ''K = (f<sub>A</sub> + f<sub>B</sub> + f<sub>C</sub>) + (q<sub>A</sub> + q<sub>B</sub> + q<sub>C</sub>) + (f<sub>A</sub> + f<sub>B</sub> + f<sub>C</sub>) + b,'' where q<sub>A</sub> represents the most recent qualifiers, q<sub>B</sub> the previous qualifiers, and so on.

			This can otherwise be expressed as ''k = '''f'''[8(p+3/m) + 4(p+3/m) + 2(p+3/m)] + '''q'''[4(p/m) + 2(p/m) + (p/m)] + '''h'''[2.5(p/m) + 1.25(p/m) + 0.625(p/m)] + '''b'''(p/m)''. The maximum value of ''K'' is currently 72, given if a team sweeps its Baptism of Fire and immediately experiences three perfect cycles.

	== Competition multipliers ==		== Competition multipliers ==
	~~These are~~ the ~~constants~~ by ~~which all points~~-~~per~~-~~match are multiplied~~ for ~~each~~ competition before being added together.		At World Cup qualifying, the Cup of Harmony and Baptism of Fire, a team's KPB is determined by finding ''p/m'', where m does not include playoffs (or non-inclusive knockout rounds, such as the round of twenty-two at [[Cup of Harmony 81]]). At the World Cup proper, however, it is determined by finding ''(p+3)/m'', because of the bonus received by each qualifying team. The sum for the relevant competition is multiplied by one of the following constants, as appropriate, before being added together.

	=== [[World Cup]] ===		=== [[World Cup]] ===
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	=== [[Cup of Harmony]] ===		=== [[Cup of Harmony]] ===
	*Most recent CoH: x1.5		*Most recent CoH: x2.5
	*Previous CoH: x0.75		*Previous CoH: x1.25
	*CoH before that: x0.~~375~~		*CoH before that: x0.625

	=== [[Baptism of Fire]] ===		=== [[Baptism of Fire]] ===
	*~~Most~~ recent ~~BoF~~: x1		*Each of the three most recent BoFs: x1
	*Previous BoF: x0.5

	==Changes==		==Changes==
	Results of the [[Under-21 World Cup]] once influenced the KPBs, but these competitions were later separated. The original U21WC used the [[RPR]] system created by [[Total n Utter Insanity]]; its successor, the [[Di Bradini Cup]], does not have a ranking system.		Results of the [[Under-21 World Cup]] once influenced the KPBs, but these competitions were later separated. The original U21WC used the [[RPR]] system created by [[Total n Utter Insanity]]; its successor, the [[Di Bradini Cup]], does not have a ranking system.

	Nations hosting a [[World Cup]] do not participate in the qualifying stages. However, there would be a large loss of ranking for the hosts if they received no points for the qualifying round. Therefore, hosts are credited with having played qualifying matches, earning on average ''a'' points. In terms of the formula, ''p = am''. The constant ''a'' was initially set at 2 (Bedistan's eponymous contribution), though it has increased		Nations hosting a [[World Cup]] do not participate in the qualifying stages. However, there would be a large loss of ranking for the hosts if they received no points for the qualifying round. Therefore, hosts are credited with having played qualifying matches, earning on average ''a'' points. In terms of the formula, ''p = am''. The constant ''a'' was initially set at 2 (Bedistan's eponymous contribution), though it has increased to 2.333333... (i.e. 7/3).

			All nations that successfully qualify for the World Cup were credited with an additional five points, equal to a win and two draws. This was to prevent the phenomenon of nations gaining a higher ranking through participation in the [[Cup of Harmony]] than if they had qualified for the World Cup itself. It has succeeded in this purpose; after [[World Cup 23]] and the concurrent Cup of Harmony, the top thirty places in the rankings were filled by nations that had qualified for that World Cup (the other two qualifiers were 33rd and 34th). However, it was argued that this entrenches the top 32, making it difficult for new teams to qualify. As a result, the bonus was reduced to three points at the beginning of [[World Cup 34]] and, for the purposes of that and subsequent cups, the previous earned bonuses were retrospectively reduced to three also.

	~~All nations that successfully qualify for~~ the World Cup ~~were credited with an additional five points~~, ~~equal to a win and two draws. This~~ was to prevent the phenomenon of nations gaining a higher ranking through participation in the [[Cup of Harmony]] than if they had qualified for the World Cup itself. It has succeeded in this purpose; after [[World Cup 23]] and the concurrent Cup of Harmony, ~~the top thirty places~~ in ~~the rankings were filled by nations that had qualified for that World Cup (the other two qualifiers were 33rd and 34th). However, it was argued that this entrenches the top 32~~, ~~making it difficult for new teams to qualify. As a result~~ the ~~bonus was reduced to~~ three points ~~at the beginning of [[World Cup 34]] and, for the purposes of that and subsequent cups, the previous earned bonuses were retrospectively reduced to three also~~.		Before the 90th World Cup cycle, Amendment 1 was passed, which provided that in any given cycle, the three most recent Baptisms of Fire had ''p/m'' KPB points on offer with no decay.

	==See also==		==See also==
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	==External links==		==External links==
	The KPB rankings are updated at the conclusion of every World Cup qualifying ~~round~~ and the World Cup itself. The link can always be found in the signature of the [[World Cup Committee]] ~~forum account~~, in the first post of the World Cup ~~discussion thread~~.		The KPB rankings are updated at the conclusion of each Baptism of Fire, every World Cup qualifying stage, and the World Cup itself. The link can always be found in the forum signature of NSWC Signups, the nation used by the [[World Cup Committee]]'s President and Vice-President for official business, in the first post of the World Cup Discussion Thread. It is also available below.

	*[https://docs.google.com/spreadsheets/d/1K7n4_e2KDftFoHVnmb9FjmJ5gBtftc27ukh6EEu95gw/edit Rankings as of post-qualifying ~~WC86~~]		*[https://docs.google.com/spreadsheets/d/1K7n4_e2KDftFoHVnmb9FjmJ5gBtftc27ukh6EEu95gw/edit Rankings as of post-qualifying WC92]

	{{World Cup}}		{{World Cup}}
	[[Category:World Cup]]		[[Category:World Cup]]

>Zwangzug at 00:45, 27 September 2020

2020-09-27T00:45:07Z

← Older revision	Revision as of 00:45, 27 September 2020
(No difference)

>Zwangzug at 00:45, 27 September 2020

2020-09-27T00:45:07Z

← Older revision		Revision as of 00:45, 27 September 2020
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	All nations that successfully qualify for the World Cup were credited with an additional five points, equal to a win and two draws. This was to prevent the phenomenon of nations gaining a higher ranking through participation in the [[Cup of Harmony]] than if they had qualified for the World Cup itself. It has succeeded in this purpose; after [[World Cup 23]] and the concurrent Cup of Harmony, the top thirty places in the rankings were filled by nations that had qualified for that World Cup (the other two qualifiers were 33rd and 34th). However, it was argued that this entrenches the top 32, making it difficult for new teams to qualify. As a result the bonus was reduced to three points at the beginning of [[World Cup 34]] and, for the purposes of that and subsequent cups, the previous earned bonuses were retrospectively reduced to three also.		All nations that successfully qualify for the World Cup were credited with an additional five points, equal to a win and two draws. This was to prevent the phenomenon of nations gaining a higher ranking through participation in the [[Cup of Harmony]] than if they had qualified for the World Cup itself. It has succeeded in this purpose; after [[World Cup 23]] and the concurrent Cup of Harmony, the top thirty places in the rankings were filled by nations that had qualified for that World Cup (the other two qualifiers were 33rd and 34th). However, it was argued that this entrenches the top 32, making it difficult for new teams to qualify. As a result the bonus was reduced to three points at the beginning of [[World Cup 34]] and, for the purposes of that and subsequent cups, the previous earned bonuses were retrospectively reduced to three also.

			==See also==
			*[[Historic KPB ranks]]

	==External links==		==External links==

>Zwangzug: Created page with "The '''KPB ranking system''' is the current system used to rank nations participating in the World Cup and related events. The name KPB comes from the initials of the two..."

2020-09-27T00:40:53Z

Created page with "The '''KPB ranking system''' is the current system used to rank nations participating in the World Cup and related events. The name KPB comes from the initials of the two..."

← Older revision	Revision as of 00:40, 27 September 2020
(No difference)

>Zwangzug: Created page with "The '''KPB ranking system''' is the current system used to rank nations participating in the World Cup and related events. The name KPB comes from the initials of the two..."

2020-09-27T00:40:53Z

Created page with "The '''KPB ranking system''' is the current system used to rank nations participating in the World Cup and related events. The name KPB comes from the initials of the two..."

New page

The '''KPB ranking system''' is the current system used to rank nations participating in the [[World Cup]] and related events. The name KPB comes from the initials of the two nations involved in its creation. It was developed by [[Kaze Progressa]] during [[World Cup 9]], with the principal modification made shortly afterward by [[Bedistan]] to ensure that Cup hosts did not suffer an unnatural loss of rank due to not participating in the qualifying stages.

For each competition, the total number of points (three per win, one per draw) earned by each team is divided by the maximum possible number of matches. It is then multiplied by some constant, depending on the type of competition and how long ago it occurred. The numbers are finally added together, and the nation with the most KPB points is officially considered the best in the world.

== The formula ==

The KPB ranking system can be stated as a formula, where:
*K = final KPB coefficient
*p = total competition points (3 per win, 1 per draw)
*m = total number of matches in the competition
**q = World Cup qualifying
**f = World Cup finals
**h = Cup of Harmony
**b = Baptism of Fire

== Competition multipliers ==
These are the constants by which all points-per-match are multiplied for each competition before being added together.

=== [[World Cup]] ===
==== World Cup proper ====
*Most recent Cup: x8
*Previous Cup: x4
*Cup before that: x2

==== Qualifying ====
*Most recent Cup: x4
*Previous Cup: x2
*Cup before that: x1

=== [[Cup of Harmony]] ===
*Most recent CoH: x1.5
*Previous CoH: x0.75
*CoH before that: x0.375

=== [[Baptism of Fire]] ===
*Most recent BoF: x1
*Previous BoF: x0.5

==Changes==
Results of the [[Under-21 World Cup]] once influenced the KPBs, but these competitions were later separated. The original U21WC used the [[RPR]] system created by [[Total n Utter Insanity]]; its successor, the [[Di Bradini Cup]], does not have a ranking system.

Nations hosting a [[World Cup]] do not participate in the qualifying stages. However, there would be a large loss of ranking for the hosts if they received no points for the qualifying round. Therefore, hosts are credited with having played qualifying matches, earning on average ''a'' points. In terms of the formula, ''p = am''. The constant ''a'' was initially set at 2 (Bedistan's eponymous contribution), though it has increased

All nations that successfully qualify for the World Cup were credited with an additional five points, equal to a win and two draws. This was to prevent the phenomenon of nations gaining a higher ranking through participation in the [[Cup of Harmony]] than if they had qualified for the World Cup itself. It has succeeded in this purpose; after [[World Cup 23]] and the concurrent Cup of Harmony, the top thirty places in the rankings were filled by nations that had qualified for that World Cup (the other two qualifiers were 33rd and 34th). However, it was argued that this entrenches the top 32, making it difficult for new teams to qualify. As a result the bonus was reduced to three points at the beginning of [[World Cup 34]] and, for the purposes of that and subsequent cups, the previous earned bonuses were retrospectively reduced to three also.

==External links==
The KPB rankings are updated at the conclusion of every World Cup qualifying round and the World Cup itself. The link can always be found in the signature of the [[World Cup Committee]] forum account, in the first post of the World Cup discussion thread.

*[https://docs.google.com/spreadsheets/d/1K7n4_e2KDftFoHVnmb9FjmJ5gBtftc27ukh6EEu95gw/edit Rankings as of post-qualifying WC86]

{{World Cup}}
[[Category:World Cup]]