How transfer game account to new iPhone?

I recently bought a iPhone 5 and loaded the game app on it, but I can not access my account I started on my iPhone 4S.

How do I access the game I started on my old iPhone on my new iPhone?

Thanks.

Can a game administrator please reply and help me?

I've sent emails about this topic but no replies to them either.

Please help.

Thank you.

Almost two weeks now and still no replies to my emails or these posts.

Please reply and assist.

Thank you.