You should not be working for government.
People will here give you all kind of elaborate advice and attack me for generalizations, but truth is simple: In private sector people that are more productive are generally rewarded/promoted more(obviously if you are silly enough to let be exploited you will be, but generally employers will try to reward you before you start looking around), in public sector this effect is much weaker(I could say nonexistent but I do not want into arguments in comments).
EDIT: to clarify for comments who feel this does not answer the OP question. Point of my answer is that seeking fair allocation of work among coworkers or promotion for your performance while working for government (generally) is unrealistic.