executing history command as another user

I am confused as to why I'm having problems executing a history command as another user to retu all that user's history - I need to loop though all users and get their history

cat /etc/passwd | awk -F: '{print $1}' > ${system}.users.txt
while read useame; do
   echo $useame
      sudo -u $useame bash -c 'export HISTTIMEFORMAT="%F %T "; history' >../log/${useame}.hist
      #sudo -u $useame bash -c 'export HISTTIMEFORMAT="%F %T "; history'
done < ./${system}.users.txt

I get no history output when I run: sudo -u anotheruser history

to troubleshoot I tried: sudo -u anotheruser bash -c 'which history'

Also I ran : sudo find / -name 'history' -type f

and I get no retued executable.

Can anybody tell me why a sudo command can't be executed by another user?

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