Bertrand Paradox and Pricing Decisions: Price Competition
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Chapter 4: Pricing Decisions
Bertrand Paradox
Assumptions
Supply
Market: two firms, A and B, that offer a homogeneous product. There are no limits to firm capacity. Cost: fixed cost = 0, marginal cost = c. Pricing and profits: free setting of prices and the profit for firm A is: πa = (Pa - c) Da(Pa, Pb).
Demand
Free consumer choice, fully homogeneous product, and consumers know all prices. The firm that offers the lower price gets all demand.
Nash Equilibrium
The Nash equilibrium under these assumptions is: Pa = Pb = c and πa = πb = 0.
Solution of the Bertrand Paradox
The central assumptions of the Bertrand paradox are not always valid. Each deviation from these assumptions can allow firms to realize positive profits. Key deviations include:
- Product