Bertrand Paradox II

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Week 6

Bertrand Paradox II Adjusting Model Assumptions

Bertrand Model 

2 companies



Price competition



Identical products



Game played once



Market transparency



Infinite price elasticity



No capacity constraints

Model Assumptions (I/III) 

Identical products In reality, consumers have different taste and products are differentiated

Monopolization not possible 

Each seller produces a different flavour of ice cream

Game played once

In reality, game has indefinite repetitions Collusion possible through threat of retaliation

Every summer season, sellers set their prices

Model Assumptions (II/III) 

Market transparency In reality, imperfect market transparency

Undercutting prices has an effect on some consumers only 

Some consumers know price of one seller only

Infinite price elasticity

In reality, costs for consumers associated with switching seller Undercutting prices has limited effect

Sellers introduce loyalty programme (e.g. 10th ice cream for free)

Model Assumptions (II/III) 

No capacity constraints In reality, companies have limited capacity

No incentive to induce a price war over the complete demand

Each seller can produce limited amount of ice cream only

What Firms Can Do Firms can actively influence these aspects to avoid the Bertrand trap 

Agree on prices, implicitly or explicitly  Play the game repeatedly, make sure there is no endpoint



Limit your capacity



Increase switching costs



Differentiate your product

Competitive Strategy Tobias Kretschmer Professor of Management, LMU Munich

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