That is precisely how the market DOES organically set price to value.
A seller is free to set a price on his product at whatever he wants.
If this price is at or below the perceived value of the product, then consumers will buy it. If it is below the perceived value, then consumers will buy more (each consumer buys more units or more consumers will buy). If the price is higher than perceived value, then consumers just won't buy it. They'll either find alternatives or just do without.
That's how the market works. Your position that the "transaction price is below what te (sic) buyer values a good at and above what a seller values at" doesn't work. You can only have a transaction if both parties actually connect at a price point where both parties overlap. If there's no overlap, there's no transaction -- both buyer and consumer walk away. No transaction means no "transaction price."
This is covered in every intro to economics course in the first few lectures.