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Competition, bargaining power and pricing in two-sided markets Kimmo Soramäki Helsinki University of Technology www.soramaki.net Wilko Bolt De Nederlandsche Bank Norges Bank  Oslo, 24 February 2008
Two-sided markets ,[object Object],[object Object],“ markets where one or several platforms enable interactions between end-users, and try to get the two (or multiple) sides “on board” by appropriately pricing each side”
Two-sided Platform vs Merchant ,[object Object],[object Object],source: Hagiu, A. 2007, Review of Network Economics 6, 115-133
Related literature ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
This paper ,[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Recall: Monopolistic Platform
Role of bargaining power ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
The model 1. buyers are willing to transact on a platform if  u b ≥p b   2. if  u b ≥p b 1  and  u b ≥p b 2 , buyers prefer platform with lower price 3. if  u b ≥   p b 1 =p b 2 , half prefer platform 1, and half prefer platform 2 4. the same holds for sellers 5. if buyers and sellers are willing to transact on both platforms, but prefer a different one – choice is determined by bargaining power characterized by  τ   platform 1 buyers sellers platform 2
[object Object],Demand - example initially 1 and 2 split this market , , = =
[object Object],Demand - example served by 1 if buyer chooses the platform,  by 2 if seller chooses the platform served by 2 alone served by 1 alone , ,
Demand and profit Profit  (c=marginal cost): Platforms need to evaluate 9 price regions.  Demand :
Best-reply dynamics 45 º starting point: zero profits price demand is split by the two platforms 45 º
Best-reply dynamics 45 º Monopolistic best reply - platform gets monopolistic demand and profits - competitor gets demand only from sellers with p s 0  < u s < p s M
Best-reply dynamics 45 º h ε Undercutting phase undercutting by  ε optimal overpricing by h - undercutting other platform’s buyer price will get all eligible buyers on board - this allows the platform to increase seller price to a point where the increased margin offsets lost demand
Best-reply dynamics 45 º h ε Corner price Undercutting and overpricing continues until corner price is reached. Here platforms split the demand
Best-reply dynamics 45 º Two Nash-equilibria &quot;Grab the dollar&quot; - game One of the platforms sets its seller price below  p s C .  Its margin is lower but it has additional demand from sellers with  p s C <u s <p s C . The best response to this is  p C .  The platform with lower seller price has higher profits -> &quot;first mover advantage&quot; c < c*
Best-reply dynamics 45 º Best reply to corner price in case of high marginal cost Increase in buyer’s price, but decrease in seller’s price to level where the platform gets demand from sellers with p s BR <u s <p s C , i.e. seller’s that are not willing to transact on the other platform c > c*
Out-of carrier pricing Undercutting continues below carrier Nash equilibrium exists if a price control exists to the right of the intersection Without price controls undercutting continues until a &quot;flip&quot; in prices is better : no equilibrium c-u s p H p L p M
Summary ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Policy implications for card payments? ,[object Object],[object Object],[object Object],[object Object],[object Object]
…  and for interchange fees ,[object Object],[object Object],[object Object]
Takk contact me at: kimmo@soramaki.net

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Competition, bargaining power and pricing in two-sided markets

  • 1. Competition, bargaining power and pricing in two-sided markets Kimmo Soramäki Helsinki University of Technology www.soramaki.net Wilko Bolt De Nederlandsche Bank Norges Bank Oslo, 24 February 2008
  • 2.
  • 3.
  • 4.
  • 5.
  • 6.
  • 7.
  • 8. The model 1. buyers are willing to transact on a platform if u b ≥p b 2. if u b ≥p b 1 and u b ≥p b 2 , buyers prefer platform with lower price 3. if u b ≥ p b 1 =p b 2 , half prefer platform 1, and half prefer platform 2 4. the same holds for sellers 5. if buyers and sellers are willing to transact on both platforms, but prefer a different one – choice is determined by bargaining power characterized by τ platform 1 buyers sellers platform 2
  • 9.
  • 10.
  • 11. Demand and profit Profit (c=marginal cost): Platforms need to evaluate 9 price regions. Demand :
  • 12. Best-reply dynamics 45 º starting point: zero profits price demand is split by the two platforms 45 º
  • 13. Best-reply dynamics 45 º Monopolistic best reply - platform gets monopolistic demand and profits - competitor gets demand only from sellers with p s 0 < u s < p s M
  • 14. Best-reply dynamics 45 º h ε Undercutting phase undercutting by ε optimal overpricing by h - undercutting other platform’s buyer price will get all eligible buyers on board - this allows the platform to increase seller price to a point where the increased margin offsets lost demand
  • 15. Best-reply dynamics 45 º h ε Corner price Undercutting and overpricing continues until corner price is reached. Here platforms split the demand
  • 16. Best-reply dynamics 45 º Two Nash-equilibria &quot;Grab the dollar&quot; - game One of the platforms sets its seller price below p s C . Its margin is lower but it has additional demand from sellers with p s C <u s <p s C . The best response to this is p C . The platform with lower seller price has higher profits -> &quot;first mover advantage&quot; c < c*
  • 17. Best-reply dynamics 45 º Best reply to corner price in case of high marginal cost Increase in buyer’s price, but decrease in seller’s price to level where the platform gets demand from sellers with p s BR <u s <p s C , i.e. seller’s that are not willing to transact on the other platform c > c*
  • 18. Out-of carrier pricing Undercutting continues below carrier Nash equilibrium exists if a price control exists to the right of the intersection Without price controls undercutting continues until a &quot;flip&quot; in prices is better : no equilibrium c-u s p H p L p M
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  • 22. Takk contact me at: kimmo@soramaki.net