The value of the product for A must be 
  greater than $13 or A won't buy it.

If there's a price where I will buy (value to me > price), and a price a tiny bit higher where I won't buy (value to me < price), there must be a point in between, where I am indifferent to buying (value to me == price)

For example, if I'm a trader and I know I can sell a widget on for $13 (after all costs are taken into account) and a supplier offers it to me for $13 I don't lose any money by taking the deal, but I don't make any money either. So I don't care if the transaction happens or not.