Hello, you are talking about this game ? http://static1.squarespace.com/static/5227cd84e4b02515a5badc7f/t/53fe58d6e4b08a7417f1d570/1409177817151/

If yes, 1$ per frame is too low for a quality like this, you would need someone very skilled who accepts to work for around 2-4$ per hour...

Lol, do you? Do you hate to sound rude? I'm gonna back up Animator on this one, that is an insultingly low rate for work of that quality. If you don't want to seem rude, and if you want work even close to that quality, consider finding yourself a much larger budget.

Either that or just slap together some flappy-bird style sprites, the mobile marketplace really doesn't care about quality pixel art.

Without wanting to offend, this price is not industry standard.
If you are looking purely for total beginners, then you may get someone interested.
Anyone who has been in the industry for a reasonable amount of time would not consider this offer.
You are right by saying that if we are not interested then we can simply move on to the next post, but this information is for your benefit as an employer.
If you are serious about game development and want to hire freelancers, then you must pay a reasonable salary.
Should you choose to remain in this price bracket, then you cannot be surprised when the applications don't come pouring in.
I personally have worked professionally in the industry since 1983 so hopefully you can believe me when I say that this price will not get anyone excited about working on your project.
An average sprite will take maybe two hours, so that's 50 cents an hour.
A 8 hour day will earn you $4.
Would you work all day for $4?
http://2dwillneverdie.com/blog/how-much-do-sprites-cost/

Well as I said, if you don't wanna work you don't have to, nobody is forcing you to work on the project. You all can continue working with your standard industry pay grade earning million dollars and leave this project alone. I in no sense am a well established company and clearly not a millionaire but trying to put together a good quality game. If you want to help you are more than welcome and if you don't then it's your choice I'm not begging you to work.
And actually people are applying for the job contrary to your belief. They are some good quality new artists who want to build up a portfolio. So yeah I'm paying the most what I can. And I'm pretty sure there are too many people in this world and everyone is replaceable and hence I will easily find some of them who would gladly work on this project.
Anyway thanks for the insight guys about how industry is working and whatnot. I'll try to pay more on my next game when I earn some money from this one, so until that day the offer remains the same and you are free to post anymore advises or comments if you still willing to.

I agree with the post above, artists would better work by their own making their own games (not that it is difficult in this day and investing your time studying programming and game publishing is better than wasting it getting exploited). I feel shame at times when teaching pixel art to future professionals because I know that only the very best will ever find, ocassionally and temporarily, "decently" paid jobs.

Pixel art is a niche market right now. We won't find many contracts in big companies that strive for massive products, but smaller companies targeting niche markets do pay for pixel art and there is no need to work under poor conditions. And starting our very own projects, be it in the videogame industry, web design or advertising, may be a much better alternative, in order to keep Pixel Art a competitive art technique in the market.

I understand OP's concerns, but if he can't pay with money, the most honest sign of good will would be to offer a decent share on the game's potential earnings. At least the potential artist won't be merely under paid, but actually accepting a risk that may turn into more earnings.