FIDE recognizes world champions, Grandmasters, International Masters, FIDE Masters and Candidate Masters. Elo ratings of GMs vary, but most of them are 2500+. Most IMs are 2400+. Most FMs are 2300+. Most CMs are 2200+.
USCF recognizes National Masters whom I think are similar in strength to CMs. They also have Life Masters who have scored 2200+ in over 300 games. Senior Masters have broken 2400 USCF.
In the press, journalists write about SuperGMs, the type of player that plays in the top section at Dortmund, Sinquefield, Wijk aan Zee, etc.
Two players with the same Elo rating should score 50% if they play a match. If there is a 100 point difference, the higher rated player should score 64%. If there is a 200 point difference, the higher rated player should score 76%.
You can read more about Elo ratings here and here.
1. What are all of the titles officially recognized by FIDE, USCF, or\and other related chess agencies (including sub-master), in descending or ascending order with Elo ranges and respectable governing agencies?
2. What are all of the unofficial titles (if any)? E.g. super-GM, Unofficial WC, or cetera
3. What percentages of the time on average would a randomly selected 'tier Alpha' player beat/draw/lose to a 'tier Beta' player as White/Black, and same of a Beta player compared to a 'tier Delta' player, on down to 'tier Omega' players?, and with what standard deviation? Naturally a random 2199-rated player would have better chances against a random 2201-rated player than a random 2107er-vs.-2298er. Therefore, ..
4. How much better is each 200Elo increment? Presumably not linear, i.e. a 1400er might have better chances against a lower 1200 than a 2400er against a 2200er, but is there an accurate formula corresponding to predictable win/draw/loss rates (with other variables being fair) as Black/White, as well as percentile of human chess-playing Population?