I found some good tabs, you can easily find the chord progression, but i wanted to 
show how i prefer to play this song, i think it sounds a lot similiar to the original.
The chord progression is the same for every verse (except the 'mrs robinson' 
part). During the singing parts just play the normal chords, during the intro and 
in every part without lyrics this is how i play the chords:


[*
Am             C              G              F 
0–0–3–1–0–1    0–0–3–1–0–1    3–3–3–5–3–0    0–0–3–1–0–1
1–1–0–0–0–0    1–1–0–0–0–0    0–0–0–0–0–0    1–1–0–0–0–0
2–2–2–2–2–2    0–0–0–0–0–0    0–0–0–0–0–0    2–2–2–2–2–2
2–2–2–2–2–2    2–2–2–2–2–2    0–0–0–0–0–0    3–3–3–3–3–3
0–0–0–0–0–0    3–3–3–3–3–3    2–2–2–2–2–2    –––––––––––
–––––––––––    –––––––––––    3–3–3–3–3–3    1–1–1–1–1–1
*]


Note: 
–We'll call this progression: [*]
–I play that F chord with my thumb in the 6? string, you can also play only the firsts 4 strings.




Am
Nobody knows everything 
       G
We know this to be true 
F
Everything is difficult 
            C             G
Except what's in front of you 
Am                          G
But it's complicated even under your nose 
F
Bullshit math equations 
         C               G
And your highs and your lows 
         Am
And your manic depression 
    G
It comes and it goes 
         F
Your parasympathetic nervous system reacts 
C                G              (| here starts the  [*])
   And you're in fight–or–flight mode 


[* Am, C, G, F *]
[* Am, C, G, F, F *] 


 Am                               G
How's the world so small when the world is so large? 
 F                                       C                  G
And what made the world, could I please speak to who's in charge?  
 Am                           G                          
Everything is real but it's also just as fake 
  F                                         C             G
From your daughter's birthday party to your grandmother's wake 
 Am                        G
And your bi–polar illness, it comes and it goes 
     F
Your parasympathetic nervous system reacts
C                  G
     And you're in fight or flight 
C                  F
     You're in fight or flight 
C                  G          (| here starts the  [*])
     You're in fight or flight mode 


[* Am, C, G, F *]
[* Am, C, G, F, F *] 

Am                                     G
I've tried to know which words to sing so many times 
   F
And I've tried to know which chords to play 
 C                         G
And I've tried to make it rhyme 
   Am                                G
And I've tried to find the key that all good songs are in 
F                                             C                G
And I've tried to find the notes to make that great resounding din 
              Am
But there's a bad man in everyone
 G
No matter who we are 
F                                  C              G
There's a rapist and a Nazi living in our tiny hearts 
  Am                                G
Child pornographers and cannibals, and politicians too 
 F                                        C                 G
There's someone in your head waiting to fucking strangle you 

              Am
So here's to you, Mrs. Robinson
 C                             Am             G
People love you more, oh never mind, oh never mind 
             Am
In fucking fact, Mrs. Robinson 
    C                                    Am           G
The world won't care whether you live or die, live or die 
             Am
In fucking fact, Mrs. Robinson, 
     C                                Am                G
They probably hate to see your stupid face, your stupid face 
              Am
So here's to you, Mrs. Robinson, 
C                          (| here starts the  [*])
You live in an unforgiving place.

[* Am, C, G, F *]
[* Am, C, G, F, F *] 

Note:
In this last part listening to the song it seems that's only the F with [*] progression


Hope you enjoy, have fun ^^