OK your question is much more sensible now.
Yeah were I trained everyone took on everyone too (I was talking about official tornaments to win official titles and medals and such).
If I remember my school phys ed classes rightly I think you have three energy systems (phosphate, anaerobic and aerobic). Phosphate lasts for around 10sec (and recovers fully after 3 to 5 mins rest), anerobic lasts for a minute or two (fuzzy on the exact numbers) but builds up latic acid which requires hours (long time at any rate) to fully recover from while your aerobic system can run for hours without fatiguing (to a degree it obviously gets tired after a while).
What my phys ed teacher was calling phosphate, anaerobic and aerobic energy systems I now know corresponds to different fiber types i.e. fast, slow, IIA, IIB what ever you call them. Whatever we call them (energy systems, fibre types etc) the priciple is one system/fibre-type gives us high strength for around 10sec but then dies on us, while the other has much lower level maximal strength but keeps up longer.
Training for maximal strength (i.e. fast twitch, though all fibers types are used on maximal effort lift) means that you might eventually get to bench press 315lb or more (if you?re not there already) which if your average sendentary guy has trouble doing say 105lb (and I?ve seen plenty in that range) then you are about three times stronger than said sedentary guy. However this huge strength advantage only lasts for around 10sec. Wrestle with the guy (with maximal effort) for longer than 10sec and the 3:1 strength difference will tend to disappear (you?ll likely still be stronger than said sedentary guy but maybe not in quite 3:1 ratio).
The point is when you are continually punching kicking, wrestling someone you need strength that lasts longer than 10sec so you need fibres other than just fast-fast twitch (actually there are different types of fast twitch not sure what the 10sec bit corresponds to). However I know in Taekwondo our bouts went for only two or three minutes (depending on level) and I?m pretty sure boxing bouts etc are similar duration. In other words you are still in the anaerobic energy system duration and someone correct me if I?m wrong (and I?m sure they will) but I believe that is still fast twitch territory (at any rate you exercise it by strength training I believe).
So if your fights last a minute or two (because a referee makes sure that they do) then training fast twitch is probably still the way to go.
That?s OK for controlled fights but what about the street you say. Well I was reading on another site that your average street fight lasts around 12secs. I thought that?s BS but then after downloading several videos of street fights I note that that seems to be roughly the length of said videos so yeah 10sec phosphate system may be all you need for street fighting (not that I condone street fighting).
Certainly in my one and only serious street fight (as an adult- I was sticking up for a woman albeit a stranger) I did not find exhaustion the slightest problem in the least (unlike in my Tkdo fights were my hands always felt like lead in the last minute of the round). My one and only street fight, which I won, the guy ran off bent over clutching his ribs (to keep this a family forum won?t go into all the gory details, oh hang on this is the T-man forum, whatever) also proved to me there is nothing like a weight and power advantage over your opponent (he was quit a bit taller than me and used a standard boxing guard but I was able to power right through it). (I know a martial artist when I see one and he was obviously trained, fight started with him doing a round house to my gut, he looked like he expected it to drop me yet I didn?t even feel it, I was in a state of shock at first but when I got going I really ripped into him, but in the initially stage of shock it was my superior ability to take punishment that protected me).
Another interesting effect I experienced was the adrenaline effect because both during the fight and after it I didn?t feel the slightest bit of pain except for a sore corner of my left jaw after the fight. (I also experienced the no pain during the fight phenomenon in Tkdo bouts but would be so sore I could hardly move after them but not in this fight, maybe again due to superior ability to take punishment with more muscle bulk). Sorry we are getting of topic into me reminising about past glory days..
Anyway point is I really think muscle size and power is something to train for but maybe concentrate on the longer duration anaerobic system (whatever fast twitch fiber type that corresponds IIA or IIB or something, sorry to lazy to lock up the details). Point is maybe train for higher reps (10 to 12 maybe even more, but not too much more) of heaviest weight you can do with those reps (and high number of sets, i.e. high volumn). Maybe also keep rest between sets minimal (so you are training anaerobic system). (As opposed to say eight sets of 5 to 8 reps with 5 min between sets which is how I train for bench press because I am going for phosphate energy system). Though if 10 sec street fights are what you are training for maybe phosphate system is way to go.
How about this, if you are training for street train phosphate and if you are training for controlled two to three minute official competition bouts do anerobic (but in neither case do I think full on aerobic/slow twitch fiber is the way to go- because both in the street and in the ring your fight probably won?t go that long ? except sparing in the dojo from my experience the fight can go for many minutes albeit at a slower pace but ultimately that is not what you are training for).