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An Empirical Analysis of Optimal Nonlinear Pricing

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Release : 2023
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Book Synopsis An Empirical Analysis of Optimal Nonlinear Pricing by : Soheil Ghili

Download or read book An Empirical Analysis of Optimal Nonlinear Pricing written by Soheil Ghili. This book was released on 2023. Available in PDF, EPUB and Kindle. Book excerpt: In "continuous choice" settings, consumers decide not only on whether to purchase a product, but also on how much to purchase. As a result, firms should optimize a full price schedule rather than a single price point. This paper provides a methodology to empirically estimate the optimal schedule under multi-dimensional consumer heterogeneity. We apply our method to novel data from an educational-services firm that contains purchase-size information not only for deals that materialized, but also for potential deals that eventually failed. We show that the optimal second-degree price discrimination (i.e., optimal nonlinear tariff) improves the firm's profit upon linear pricing by about 7.9%. That said, this second-degree price discrimination scheme only recovers 7.4% of the gap between the profitability of linear pricing (i.e., no price discrimination) and that of infeasible first degree price discrimination. We also conduct several further counterfactual analyses (i) comparing the role of demand- v.s. cost-side factors in shaping the optimal price schedule, (ii) examining third-degree price discrimination, and (iii) empirically quantifying the magnitude by which incentive-compatibility constraints impact the optimal pricing and profits.

Empirical Analysis of Network Effects in Nonlinear Pricing Data

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Release : 2023
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Book Synopsis Empirical Analysis of Network Effects in Nonlinear Pricing Data by : Liang Chen

Download or read book Empirical Analysis of Network Effects in Nonlinear Pricing Data written by Liang Chen. This book was released on 2023. Available in PDF, EPUB and Kindle. Book excerpt:

An Empirical Analysis of Competitive Nonlinear Pricing

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Release : 2019
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Book Synopsis An Empirical Analysis of Competitive Nonlinear Pricing by : Gaurab Aryal

Download or read book An Empirical Analysis of Competitive Nonlinear Pricing written by Gaurab Aryal. This book was released on 2019. Available in PDF, EPUB and Kindle. Book excerpt: We estimate a model of competitive nonlinear pricing with multidimensional preference heterogeneity using individual level data on advertisements bought by local businesses (e.g., doctors, electricians) from two Yellow Page Directories in one U.S. city-market. Variation in individual choices and payments allow us to identify the joint density of preferences, marginal costs of publishing and common utility parameters. Our estimates suggest substantial welfare loss due to asymmetric information. Comparing duopoly outcomes with (counterfactual) monopoly outcomes, we find that with less competition (i) producer surplus increases substantially; (ii) more “low-type” consumers are excluded; (iii) product variety increases, but benefits accrue only to the “high-type” consumers; (iv) total consumer surplus decreases; (v) but its distribution, across consumers, does not change.

Empirical and Analytical Analysis of Nonlinear Pricing Strategies

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Release : 2008
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Book Synopsis Empirical and Analytical Analysis of Nonlinear Pricing Strategies by : Ping Xiao

Download or read book Empirical and Analytical Analysis of Nonlinear Pricing Strategies written by Ping Xiao. This book was released on 2008. Available in PDF, EPUB and Kindle. Book excerpt:

Optimal Nonlinear Pricing by a Dominant Firm Under Competition

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Release : 2019
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Book Synopsis Optimal Nonlinear Pricing by a Dominant Firm Under Competition by : Yong Chao

Download or read book Optimal Nonlinear Pricing by a Dominant Firm Under Competition written by Yong Chao. This book was released on 2019. Available in PDF, EPUB and Kindle. Book excerpt: We consider a nonlinear pricing problem faced by a dominant firm which competes with a capacity-constrained minor firm for a downstream buyer who may purchase the product from the firms under complete information. Specifically, we analyze a three-stage game in which the dominant firm offers a general tariff first and then the minor firm responds with a per-unit price, followed by the buyer choosing her purchases. By establishing an equivalence between the subgame perfect equilibrium of our asymmetric competition game and the optimal mechanism in a “virtual” principal-agent model, we characterize the dominant firm's optimal nonlinear tariff, which exhibits convexity and yet can display quantity discounts. Our analysis provides a rationale for nonlinear pricing under competition in the absence of private information: The dominant firm can use unchosen offers to constrain its rival's possible deviations and extract more surplus from the buyer. Antitrust implications are also discussed.

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