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Prolog

Dear Sporstfellows,
I would like to call your attention to a so far unknown competition management system. This system is suitable for the management of world and continental level competitions too. As opposed to the currently applied systems, this one amends their mistakes and has some further advantages.

There are many problems with the currently used systems, for instance:
) There are many matches where nothing is at stake for a team or for either of the teams,
) It is easy to achieve results that are favourable for both teams,
) The strongest teams play with the weakest teams,
) The weakest teams can never meet teams with a similar power in important matches.
) Everybody has to play the same amount of matches, regardless of whether they still have the chance to qualify or whether they have already been qualified,
) The power-based classification is determined prior to the competition period, thus the actual condition cannot be taken into consideration,
) There is, in my opinion, a logical mistake in the management of the European qualifying matches of the World and European Cups.

How about a management model in which these problems do not exist? A model in which no team would play a match with the attitude of 'it does not matter, we have already qualified / fallen out', where everybody plays matches until they have the chance to qualify, and thus there would be no pre-arranged matches.
This new competition management system would fulfil the three most important requirements, namely:
) It would be mathematically valid,
) It would be easy to understand for the people,
) It would not mean more (or significantly more) matches than in the systems applied so far.

Further advantages:
) Competitions would be realisable for example with 48 participants,
) This competition system could manage an optional number of starters and qualifiers (e.g. 53 starters, 13 qualifiers.)
Besides that
) As usual, every participant plays several matches,
) There could be no results which would be favourable for both teams.
  
If you prefer to hear more about the new system, I would gladly present it in more details with the help of examples, modelling and mathematical calculations.

Yours sincerely,
AndrĂ¡s Halasi