I've listened to the song a couple of times, and this is the picking I figured he uses.

C  - 032010
F  - 133211
Am - 002210
G  - 320033


[Intro] x3

  (C)         
e|----------0-
B|-1---3------
G|---0---0----
D|------------
A|-3----------
E|------------
  I   don't kn

        (F)   
--------------
----3----1---3
0-----0----2--
--------------
--------------
---------1----
ow you, but I 

            (C
---1----0-----
-------------1
-2---2--------
--------------
------------3-
--------------
  want you  al

)             
--------0-----
---3---------3
-0---0----0---
--------------
--------------
--------------
l the  more fo

   (F)
--------------------|
----1---1---1---1---|
-0----2---2---2---2-|
--------------------|
--------------------|
----1---------------|
r that...

      (C)     
e|------------
B|-1-----3----
G|---0-----0--
D|------------
A|-3----------
E|------------
  Words fall t

              
0-------------
--------3-----
---0------0---
--------------
--------------
--------------
hrough me and 

(F)
----------1---
-1---3--------
---2---2----2-
--------------
--------------
-1------------
al- ways fool 

0---|
----|
----|
----|
----|
----|
me

   (C)        
e|-----------0
B|--1---3-----
G|----0---0---
D|------------
A|--3---------
E|------------
   and I    ca

         (F)
--------------
-----3----1---
-0-----0----2-
--------------
--------------
----------1---
n't re-  act..

-------------|
1---1---1----|
--2---2---2--|
-------------|
-------------|
-------------|
.

This part isn't exactly like the original, it's pretty hard to figure out the actual
The movie version has a different picking from the studio version anyway.


[Bridge]

   (Am)       
e|--------0---
B|------------
G|------2---2-
D|------------
A|--0---------
E|------------
   Games that 

 (G)      (F) 
--------------
--3---1--0----
-------------2
--------------
--------------
--3--------1--
ne-  ver a-mou

         (G)  
---1----------
----------3---
------2-------
--------------
--------------
----------3---
nt to    more 

             (
--------------
-1----0-------
--------------
--------------
--------------
--------------
than they're m

Am)
----|
----|
--2-|
----|
0---|
----|
eant


         (G)  
e|--0---------
B|--------0---
G|----2-------
D|------------
A|------------
E|--------3---
   will play  

            (F
--------------
-1----0-------
--------------
--------------
--------------
-------------3
them-selves ou

)
---1---1---1----|
----------------|
-2---2---2---2--|
----------------|
----------------|
----------------|
t.

The following strumming goes like this: D D D DuDuD DuDu


[Chorus]

(C)               (F)               (Am)
Take this sinking boat and point it home...
               (F)
We've still got time...
(C)                  (F)               (Am)
Raise your hopefull voice you had the choice...
                (F)
You've made it known...


[Verse 2] (picking) 

(C)           (F)
Falling slowly, eyes that know me...
(C)              (F)
and i cant go back....
(C)               (F)
Moods that take me and erase me...
(C)                 (F)
and I'm painted black...


[Bridge]

You have suffered enough and warred with yourself, its time that you've won...


[Chorus]

(C)               (F)               (Am)
Take this sinking boat and point it home...
               (F)
We've still got time...
(C)                  (F)               (Am)
Raise your hopefull voice you had the choice...
               (F)
You've made it now...


[Chorus]

(C)           (F)              (Am)
Falling slowly, sing your melody...
              (F)
I'll sing it loud...


[Outro]

(C)  (F)   (Am)   (F)  Strum untill the end.