Comment: who decides what is just compensation?

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In reply to comment: John (see in situ)

who decides what is just compensation?

The buyer or the seller?
I am currently dealing with an interstate which has been in the works for several years (i-69) cutting my family's farm in half. They have come in and surveyed and put down flags and everything. I am told they will pay us, but they will name the price in a take it or leave it fashion.
Is there a court case i can reference which defines just compensation as whatever the buyer offers the seller? I wouldnt sell my land for anything, its sentimental and priceless.
Thanks for any response.