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Volumn 7, Issue 4, 2011, Pages 775-812

Antitrust and competition in two-sided markets

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EID: 82955176905     PISSN: 17446414     EISSN: 17446422     Source Type: Journal    
DOI: 10.1093/joclec/nhr012     Document Type: Article
Times cited : (19)

References (77)
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    • The basic two-sided Hotelling model is introduced in a reduced form in Spulber (1999), although he restricts attention to the case of equal numbers of customers and suppliers. A related literature includes vertical relationships and the outside option of search markets. Loertscher (2007) looks at duopoly competition between market makers in a spatial model when buyers and sellers have the option of search. We treat the possibility of search and/or direct contracting as a part of the outside option. For simplicity, we assume that this is never optimal for customers and suppliers; however, we could build this option in a similar way to Loertscher (2007) without changing the qualitative implications of our model. Note that positive markups can also be due to other factors including asymmetric information and imperfect incentives (see Spulber, 1999).
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    • Note
    • Binding constraints change expected comparative statics in two-sided markets with network effects literature as well: for example, Liu and Serfes (2008) obtain a result that the expected comparative statics regarding price discrimination reverse once firms cannot set prices below zero
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    • Note
    • Suppliers (or customers) seeing firms as not differentiated simply means taking the corresponding differentiation parameter to zero. For example, we get the familiar p=t N result if workers only care about wages rather than travel costs.
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    • Mail versus Mall: A Strategic Analysis of Competition Between Direct Marketers and Conventional Retailers
    • for one-sided setup featuring Salop's circle and a mass-mailer
    • See Sridhar Balasubramanian, Mail versus Mall: A Strategic Analysis of Competition Between Direct Marketers and Conventional Retailers, 16 MARKETING SCI. 155 (1998) for one-sided setup featuring Salop's circle and a mass-mailer.
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    • Note
    • Armstrong extends Spulber's 1999 two-sided Hotelling model by adding network effects and focuses on whether agents from either side of the market are forced to choose one of the platforms (single-home), while the other side multi-homes
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    • Competition in Two-Sided Markets
    • Mark Armstrong, Competition in Two-Sided Markets, 37 RAND J. ECON. 668 (2006).
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    • Note
    • Armstrong shows that when one of the sides multi-homes (is able to choose more than one intermediary), then platforms extract all the surplus of the multi-home users, and maximize the joint surplus of the single-home users and the platforms (Armstrong's Proposition 4). The result holds because there is no competition for the multi-homing users. In our setting, the competitive bottleneck is the respective size of the two groups of users. If the group is not constrained, then there is no competition for that group, and thus its entire surplus is extracted, and the joint surplus of the constrained group and the intermediaries is maximized. In the competitive scenario (when the outside option does not bind), we obtain similar results to Armstrong's 2006 main results, without assuming network effects. Armstrong's model does not deliver either the intuition of reversed comparative statics with the outside option binding, or the possible switch of where the competitive bottleneck is, depending on the size of the group (the single-homing side is always the competitive bottleneck). Another insight derived from our model is that the key issue is not multi-homing versus single-homing, but rather the relative sizes of the groups. We could allow one of the sides to multi-home in our model. That would effectively multiply the size of the multi-homing group, since it's as if there are more users in this group. However, if even after this multiplication the group is smaller than the single-homing group, the intermediaries still compete for the smaller multi-homing group, while extracting the entire surplus from the single-homing group.
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    • Note
    • We relax the assumption on suppliers in the Appendix, allowing each supplier to deliver more units if the wage is higher. Our qualitative results do not change.
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    • Note
    • The customer-constrained equilibrium is available upon request
  • 72
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    • Note
    • Suppliers located a distance of xw* from a firm would earn zero surplus from switching to a competing firm; those located further away would earn positive surplus from supplying to a competing firm. Thus, the supply function is steeper to the right of xw*. The equilibrium bid price is determined by the intersection of the supply function and the vertical line at S/N (since all suppliers are employed in equilibrium). Notice that W* and xw* are determined jointly: increasing W* would push xw* to the left. Similarly, since the equilibrium bid price does not depend on the reservation utility of suppliers, an increase in W must push xw* to the right. An increase in R increases the equilibrium bid price, and thus pushes xw* to the left.
  • 73
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    • Note
    • This property holds in general for any model of market making. This is readily verified in our setting where the market maker always fully extracts the surplus of the unconstrained side, a = R, so that the bid price is b = a - ρ = R - ρ.
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    • Firms and Networks in Two-Sided Markets
    • (Terry Hendershott ed., Elsevier)
    • See Daniel F. Spulber, Firms and Networks in Two-Sided Markets, 1 HANDBOOK OF ECONOMICS AND INFORMATION SYSTEMS 137 (Terry Hendershott ed., Elsevier 2006).
    • (2006) Handbook of Economics and Information Systems , vol.1 , pp. 137
    • Spulber, D.F.1
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    • Note
    • Just as in the base case, we leave out the case of N local matchmakers
  • 76
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    • Note
    • As in the proof of Propositions 1 and 2, we need to ensure that the outside option is not binding. The utility of the worst off employee, that is, the one located S 2N from the nearest headhunter, is This needs to be bigger than W. This is equivalent to N > (5/4)N0.
  • 77
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    • Note
    • Skipped steps from the derivation: which implies which yields


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.