World Cup 98 - A Preview - THE PLAY-OFFS 
 
WORLD CUP 98  is part of  THE SHOT THAT PASSED RIGHT THROUGH THE NET
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The mathematical and psychologial traps of the play-offs / Is there the danger of football becoming a lotterie? Can you win the World Cup without needing a penalty shoot-out? ... 

THE SITUATION, THE PAST, AND FRANCE 98

 
 
 
 
 


 

  
The luck required: The play-offs... 
  
The play-offs are a tough thing. All teams that do not qualify for this stage must feel as losers. Until 1994 that was only 8 teams, now it is half of the participating field (16 teams).  
Then the knock-out stages imply another frustation: For all teams apart from the Champion and the Winner of the 3rd place play-off the World Cup ends with a loss. This is what often stays in mind and only in exceptional cases and for some teams that did not expect to get that far (Belgium 1986, Costa Rica and Cameroon 1990,  Bulgaria and Romania 1994) that last match does not hurt so much, when there had been exceptional matches before and there was no belief to win the Cup anyway. 

THE PAST 

 Since 1986 the World Cup winner has had to play four knock-out matches. Only Argentina 1986 had been able to win all four and they did not even need extra time (but the 'hand of god' as Maradona has put it). Germany 1990 (1/2-final) and Brazil 1994 (final) both won matches on penalty shoot-out and in recent most import coninental championships, both winners, Egypt at the African Cup Of Nations 1998 and Germany at the Euro 96, had won penalty shoot-outs on their way. 

 When FIFA decided to abolish the play-off system after the World Cup 1970, the increasing number of extra-time matches with lucky winners might have been on their minds. So it came, that the complete knock-out system was not reestablished before 1986 to bring back the excitement. Today the increasing share of pure chance is more seen as a problem again. 

 To win four play-off matches in a row requires a huge amount of luck. This can be mathematically proven as it is tried in the essay 70%sure: Brasil will not become World Champions. More of illustrating character might be the story of Côte d'Ivoire at the African Cup Of Nations 1992: With only one goal scored alltogether they marched through quarter-finals, semi-finals, and won the Cup. One match won 1-0, and two matches drawn 0-0 plus won penalty shoot-outs. 

 But it may turn out as even five (or six) consecutive play-off matches: In 1998, with only 2 teams advancing from the groups, the last group match could be a must-win game. Now, has there in history been a champion who had a must win situation in the last group match? A detailed answer you will find in the first part of this document concerning the first round. The short answer is: No for the past and now: no for 1998. 

 Refereeing plays its part as well. About the problem of refereeing can be read in the document Refs in the spotlight. This becomes even more problematic with the Golden Goal/sudden death rule. Golden Goal could not affect the number of penalty shoot outs effectively at the Euro 96 but the African Cup Of Nations, although played without the Golden Goal rule saw a decrease of the number of matches ending the cruel lottery way.  
 

 
 
 
1. introduction: the luck required
2. facts and statistics
3. some conclusions
back to top
 
 
  
 FRANCE 98 

luck 

One part of the question of luck is the determination of opponency. First part is the draw, the second is the outcome of the other groups: 

When you look at the 4 places for the semi-finals, each place is played out by a group of 4 teams who qualified for the last 16: 
i) Brazil, Nigeria, Chile, Danmark 
ii) France, Italy, Paraguay, Norway 
iii) Germany, Romania, Mexico, Croatia 
iv) Netherlands, Argentina, Yugoslavia, England 

It looks very much like that fourth group is much heavier than the others. This came from the Romania-England match and has a huge influence on the chances for the particular teams. It can be said that the Argentina/England winner has only 50:50 matches in those play-offs. The probability to win four consecutive 50:50 matches is only 6,25% (0.5*0.5*0.5*0.5=0.0625). In the same moment the value for Brazil can be estimated as at least double as high (12,25% - 0,7*0,7*0,5*0,5) and this evaluation is not based upon the strength of Argentina or Brazil but only on the strength of the opponents they should face.

One could see in the progress that this helped Croatia, in the end was too much for Argentina and boosted the chances for France before the semi-finals:
France had to beat only 1 world class-opponent on their way to the final, Italy. And they weren't even capable to beat them (won on penalties after 0-0 aet)!
How many world class opponents did the others have to beat in the 3 preceding knock-out rounds to reach the final (or would have had to)?:
Italy 1 (France)
Brazil 1 (Netherlands)
Netherlands 2 (Argentina, Brazil)
Argentina 3 (England, Netherlands, Brazil)
England 3 (England, Netherlands, Brazil)
Germany 1 (France)
Croatia 2 (Germany, France)

Before the semi-finals because of this 'bounce', just by the influence on how the opponents were determined without any influence of the teams themselves, a final Brazil-France is the most likely. But surprises are never excluded.

referees, penalties or golden goal? 

 When Platini said after the France-Paraguay match, he prefers the Golden Goal to penalties he forgot that it had not been forbidden to score in the old extra-time mode as well. Referees definitively do not want to make mistakes. They do not want to give penalties that are not inevitable and their assistants prefer a wrong offside call to a goal that turns out to be offside later. At least this has been the impression of the England-Argentina match. 
 The influence of refereeing in some play-off matches cannot be denied. But this problem is not only one of the referees, whether they are professionals or not, whether they are European or South-American, it is a problem inherit in the rules and the way they are interpreted. This will be part of a further review after the tournament to be announced later.  
 Extra-time might have been a problem for Paraguay as the players are based in South America where in international competitions it comes down to penalties right away without extra-time what seems very unsatisfying as the number of penalty shoot-outs deciding important matches is far too high then. 

the development of matches decided on penalty shoot-outs 

In the following tables and diagrams you can see the development of penalty decisions in most important international tournaments 
 

 
 
 
 
 
 
 
 
 

 
  
The play-offs and how deadlocked matches were decided... 
  
replays 1930-38 
year playoff matches* extra-times replays
1930 3 - (0%) - (0%)
1934 16 3 (19%) 1 (6%)
1938 14 6 (43%) 3 (21%)
*without 3rd place playoff but including USA-Mexico qualification match 1934 (result was no draw) 

1950 

In 1950 there were no play-off-matches except from the fact that one first round group consisted only of 2 teams. That encounter saw a regular winner when Uruguay beat Bolivia 8:0. The final four played in a league-like group-mode. 

1954 

Including two decisive extra-matches after the first round there were 9 play-off matches with one extra-time (11%). But 1954 saw also a strange first round mode in which all matches that ended in a draw were added extra-time: 2 of 16 matches (12,5%) were played this way but ended in a draw anyway. 
 

1958-70 
year playoff matches* extra-times*
1958 7 - (0%)
1962 7 - (0%)
1966 7 1 (14%)
1970 7 3 (43%)
*without 3rd place play-off 
**no extra-times in this period ended with a draw 
 

1974-78 

Those two tournaments, the second round like the first was played on a league basis. This left the final as the only play-off (neglecting the third place play-off). One of those two was decided in extra-time. 

1982 

This tournament reintroduced the semi-final and saw the first decision on penalties in World Cup history when one of three play-off matches was send to extra-time but ended in a draw anyway (33%). 

1986-94 
year playoff matches* extra-times penalties
1986 15 4 (27%) 3 (20%)
1990 15 8 (53%) 4 (27%)
1994 15 4 (27%) 3 (20%)
1998** 15
*without 3rd place play-off 
**golden goal rule applied 

Interesting the question whether the number of penalty shoot-outs increased after the first play-off round: 

1986-94 
year 1st playoff round penalties quarter 
semi + 
final
penalties
1986 8 - (0%) 7 3 (43%)
1990 8 1 (13%) 7 3 (43%)
1994 8 1 (13%) 7 2 (29%)
1998** 8 1 (13%)
*without 3rd place play-off 
**golden goal rule applied 

P.S.: Only 2 of those 11 penalty decisions 1982-1994 had been avoided by a Golden Goal as there were only two matches that saw goals in extra-time and ended in a draw anyway. (Although this is speculation, maybe the teams and the referees knowing about sudden death possibility had played different) 
 

 
 
 
1. introduction: the luck required
2. facts and statistics
3. some conclusions
back to top
 
  
 OTHER MAIN TOURNAMENTS 

European Championship 

before 1976 

13 matches had 4 extra-times (31%). 2 of those extra-times (15%) brought no decisions: 1968 the semi-final was decided by drawing lots, the final had to be replayed. In both cases the hosts, Italy, won in the end. 

1976-1996 
year playoff matches* extra-times penalties
1976-84 7 5 (71%) 2 (29%)
1988-92 6 1 (17%) 1 (17%)
1996** 7 5 (71%) 4 (57%)
*without 3rd place playoff 
**golden goal rule applied 
 
 

African Cup Of Nations 

before 1976 
 
year playoff matches* extra-times replayed
1957-74 20 9 (45%) 1 (5%)
*without 3rd place playoff13 matches . 

(1976 Final four on league basis) 

1976-1998 (no golden goal rule applied) 
year playoff matches* extra-times penalties
1978-1990 21 7 (33%) 6 (29%)
1992 7 3 (43%) 2 (29%)
1994 7 1 (17%) 1 (17%)
1996 7 1 (17%) 1 (17%)
1998 7 3 (43%) 2 (29%)
*without 3rd place playoff 

some conclusions 
 

 
 
 
 
 
 
 
 
 
 
 
  
Some conclusions 
  
 Apparently since about 20 years ago an average third of matches from quarterfinals on go to extra-time. That had not been much different before, only on World Cup stage there had been a period of few extra-time matches from 1954 to 1966. More conspicious is the fact that since penalties were introduced the percentage of extra-times that bring a decision is very low. It might be a psychological thing but probably it has not so much to do with the penalties. Maybe it has been an improbvement on the stemina and concentration level. 
 It is far too early to judge upon the effect of the Golden Goal rule but the main problem seems to be that there are no goals at all in extra-time anyway. The euphemistic metaphor FIFA created for the sudden death might play a part in the teams attitude but that part should not be considered as too big. 
 
 
 
 
1. introduction: the luck required
2. facts and statistics
3. some conclusions
back to top
 
  
 If the football world wants a different outcome of football matches or a reduction of penalty shoot-outs deciding the most important matches of lives of millions of fans, other measures will have to be taken. (see also Golden Goal or Sudden Death. 

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