In: Economics
Consider a pricing problem with two sellers, A and B, and 12
buyers, who each have a unit demand for a good provided the price
is no more than 4. Each seller can produce a good on order at price
1.
Sellers announce prices simultaneously, pA and pB respectively.
Buyers 1-6 see Player A's price but not Player B's. Likewise buyers
7-12 see Player B's price but not Player A's.Each buyer can choose
to buy from the seller whose price he sees or to walk over to the
other seller (at a cost of $0.10), when he can buy from that seller
or walk back to the seller whose price he saw originally (for
another 10c) and buy from her.
The payoffs are the standard ones in pricing problems. In addition, buyers have to subtract the cost of travel, if any.
What are the equilibrium prices announced by the sellers? Each can choose a price in[1,4].
The seller A and seller B have equal buyers
Seller A have 1-6 buyers
Seller B have 7- 12 buyers
The production charges for seller A and B are the same which is 1 dollar
Here the price range should be 1- 4 not more than 4 so in the case of having equal buyers the sellers could charge less than 3 dollars because some of the buyers have travel expenses as mentioned 0.10 dollars so, both the sellers will come to an equilibrium point of prices
So the seller A and B will give the product at 2dollars which is acceptable by the buyers