I stood by my numbers and was more confident in the negotiation because I could ask real time questions and respond to counter offers in real time.

We have been through a couple of counter offer cycles but we have now been told that another realtor's clients had an interest in it also.

He said "Let me give you a counter offer and buy your house, that's right let me buy your house" ....

Make a counter-offer and see what happens from there.

After a couple of rounds of counter offers we agreed on a price and I decided to walk thru the property for a second time.

Since the counter offer was verbal, I very seriously doubt the seller can be held to it. 

Seller can then accept the contract, counter offer on the inspection period, or decline to accept.

I would also make sure that your offer is accompanied by a pre-approval letter from the bank.....I would also put language in there that says the offer is only good for 5 days.IF your offer that is $100K under and it gets rejected or there is no response within say 5 days.....then wait a week....and see if the property is still on the market....if it is, simply have your agent take a COPY of the original offer, and literally cross out the date with one line through it, and put a new date on it, and re-submit it.Keep repeating that process every 10 days or so with a new date until the seller gives you at least a counteroffer.....the message to the seller will be....."

Also good job sticking to your estimated price because you know what is best for the client so I wouldn't budge unless the seller gives you a counter offer, then you can "think about it". 

Instead of 4-8 solid offers, seller still has a choice who to counter offer to with fewer offers.