I have created a simple card game called Poker Auction.
Rules
All players are dealt 2 cards each facedown. They have a fixed amount of money (say 1000 pts.) A card is opened from the deck, and auctioned to the highest bidder. Minimum bid is 50 pts. (unless you have less than 50, in which case you can go all-in as a bid) and any increment of 10 is allowed. Bidding is in cyclic order starting with the left of the dealer (which changes every game), and a person can place upto 3 bids. You may place a bid that is impossible to beat. Players who lose an auction get back their money, the winner loses money equal to his bid.
This process is repeated until every player has 5 cards (or the deck finishes, and it is a draw). If all but one player have 5 cards, and 5 cards have been 'passed out of the game' with no bids, this last player is obliged to take the next card(s) till he has 5 cards.
Person with the best hand (poker-style) wins the game. In the rare occurence that the first 5 'passed out cards' form a better hand than every player, it is a draw.
Question
So far it works almost fine. The problem is that some hands (such as straight) are nearly impossible, and others become easier the usual (flush maybe easier than 3 of a kind, I'm not sure). Does this change the required precedence of hands? Maybe some maths will show, please help.