Abstract
In online advertising, impressions are sold via real-time auctions which are organized by central platforms referred to as ad exchanges. For technological or operational reasons, advertisers generally participate in the auctions run by exchanges through intermediaries which acquire impressions on their behalf. Intermediaries are specialized entities that provide targeted services for a particular segment of the market, and typically there are multiple stages of intermediation. Moreover, an advertiser may have private information, e.g., budget, targeting criterion or value attributed to an impression. The presence of intermediaries and this information asymmetry introduce several new research questions. In the first part of this chapter, we study the mechanism design problem of an intermediary who offers a contract to an advertiser with a private budget and a private targeting criterion. We characterize the optimal mechanism and establish that the presence of the intermediary results in simpler bidding policies. In the second part of this chapter, we study the strategic interaction among intermediaries organized in a chain network. We characterize a subgame perfect equilibrium of the resulting game among intermediaries and show that the most profitable position in the intermediation chain depends on the underlying value distribution of the advertiser.
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Notes
- 1.
Random number of impressions can be accommodated in our model by considering dummy arrivals that are valued at zero by the advertiser.
- 2.
Unlike the advertiser, the intermediary does not have stringent financial constraints, thus we do not restrict the intermediary’s policies \(\zeta \in \mathcal Z\) to satisfy any budget constraints (unlike the set of policies \(\mathcal {Z}_t\) that can be employed by the advertiser of type t).
- 3.
Specifically, the intermediary can prevent the advertiser from overstating her budget by requiring her to make an upfront payment equal to the reported budget, and returning the amount b t − x t at the end of the advertising campaign (see, e.g., Che and Gale 2000).
- 4.
Note that in the OCI model we denote by v t(α) the value of a type t advertiser for an impression with attributes α, thus the notation v t represents a function. However, in the MSI model, the notation v represents a random variable which captures the value of the advertiser.
- 5.
The advertiser’s value v satisfies these requirements.
- 6.
Note that ϕ X(x) = ϕ X|X>0(x) for \(x\in {\mathcal X}\setminus \{0\}\). This can be seen by using the definition of the virtual value function and noting that the conditional random variable X|X > 0 has c.d.f. G X|X>0(x) = (G X(x) − G X(0))∕(1 − G X(0)), and p.d.f. g X|X>0(x) = g X(x)∕(1 − G X(0)). Thus, focusing on the virtual value of X|X > 0 as opposed to X, excludes the atom at zero, without impacting the (projected) virtual values elsewhere.
- 7.
Balseiro et al. (2017) show that this assumption holds for Generalized Pareto Distributions, a large family of distributions including uniform, exponential and Pareto distributions.
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Balseiro, S.R., Candogan, O., Gurkan, H. (2019). Intermediation in Online Advertising. In: Hu, M. (eds) Sharing Economy. Springer Series in Supply Chain Management, vol 6. Springer, Cham. https://doi.org/10.1007/978-3-030-01863-4_21
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