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Related papers: Third-Degree Price Discrimination Versus Uniform P…

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The classic third degree price discrimination (3PD) model requires the knowledge of the distribution of buyer valuations and the covariate to set the price conditioned on the covariate. In terms of generating revenue, the classic result…

Computer Science and Game Theory · Computer Science 2024-07-17 Haitian Xie , Ying Zhu , Denis Shishkin

This paper investigates third-degree price discrimination under endogenous market segmentation. Segmenting a market requires access to information about consumers, and this information comes with a cost. I explore the trade-offs between the…

Theoretical Economics · Economics 2024-06-11 Irfan Tekdir

Data regulations increasingly enable consumers to switch among market segments, making segmentation an endogenous outcome of strategic interaction. We study a model in which consumers choose segments before a monopolist sets…

Theoretical Economics · Economics 2026-05-14 Zhonghong Kuang , Sanxi Li , Yi Liu , Yang Yu

A monopolist offers personalized prices to consumers with unit demand, heterogeneous values, and idiosyncratic costs, who differ in a protected characteristic, such as race or gender. The seller is subject to a non-discrimination…

Theoretical Economics · Economics 2025-06-27 Philipp Strack , Kai Hao Yang

This note revisits the analysis of third-degree price discrimination developed by Bergemann et al. (2015), which characterizes the set of consumer-producer surplus pairs that can be achieved through market segmentation. This was proved by…

Theoretical Economics · Economics 2026-01-13 Keita Kuwahara

In continuous-choice settings, consumers decide not only on whether to purchase a product, but also on how much to purchase. Thus, firms optimize a full price schedule rather than a single price point. This paper provides a methodology to…

General Economics · Economics 2024-08-13 Soheil Ghili , Russ Yoon

We consider a model of third-degree price discrimination where the seller's product valuation is unknown to the market designer, who aims to maximize buyer surplus by revealing buyer valuation information. Our main result shows that the…

Theoretical Economics · Economics 2025-10-10 Itai Arieli , Yakov Babichenko , Omer Madmon , Moshe Tennenholtz

A monopolist wishes to maximize her profits by finding an optimal price policy. After she announces a menu of products and prices, each agent $x$ will choose to buy that product $y(x)$ which maximizes his own utility, if positive. The…

Optimization and Control · Mathematics 2021-02-12 Robert J. McCann , Kelvin Shuangjian Zhang

In this paper, we study third-degree price discrimination in a model first presented by Bergemann, Brooks, and Morris [2015]. Since such price discrimination might create market segments with vastly different posted prices, we consider…

Theoretical Economics · Economics 2025-10-20 Kamesh Munagala , Yiheng Shen , Renzhe Xu

Price discrimination for maximizing expected profit is a well-studied concept in economics and there are various methods that achieve the maximum given the user type distribution and the budget constraints. In many applications,…

General Economics · Economics 2021-03-03 Ghurumuruhan Ganesan

We study how market segmentation affects consumers when a monopolist can adjust both prices and product qualities across segments, engaging in second- and third-degree price discrimination simultaneously. We characterize the…

Theoretical Economics · Economics 2026-03-04 Dirk Bergemann , Tibor Heumann , Michael C. Wang

We study a producer's problem of selling a product to a continuum of privacy-conscious consumers, where the producer can implement third-degree price discrimination, offering different prices to different market segments. We consider a…

Theoretical Economics · Economics 2024-06-18 Alireza Fallah , Michael I. Jordan , Ali Makhdoumi , Azarakhsh Malekian

We consider the problem of choosing prices of a set of products so as to maximize profit, taking into account self-elasticity and cross-elasticity, subject to constraints on the prices. We show that this problem can be formulated as…

Optimization and Control · Mathematics 2026-04-30 Maximilian Schaller , Stephen Boyd

A seller is pricing identical copies of a good to a stream of unit-demand buyers. Each buyer has a value on the good as his private information. The seller only knows the empirical value distribution of the buyer population and chooses the…

Computer Science and Game Theory · Computer Science 2023-05-12 Siddhartha Banerjee , Kamesh Munagala , Yiheng Shen , Kangning Wang

Posted price mechanisms are prevalent in allocating goods within online marketplaces due to their simplicity and practical efficiency. We explore a fundamental scenario where buyers' valuations are independent and identically distributed,…

Computer Science and Game Theory · Computer Science 2025-05-26 José Correa , Vasilis Livanos , Dana Pizarro , Victor Verdugo

We consider a generalization of the third degree price discrimination problem studied in Bergemann et al. (2015), where an intermediary between the buyer and the seller can design market segments to maximize any linear combination of…

Computer Science and Game Theory · Computer Science 2019-12-13 Rachel Cummings , Nikhil R. Devanur , Zhiyi Huang , Xiangning Wang

We study fairness in the context of feature-based price discrimination in monopoly markets. We propose a new notion of individual fairness, namely, \alpha-fairness, which guarantees that individuals with similar features face similar…

Computer Science and Game Theory · Computer Science 2022-02-28 Shantanu Das , Swapnil Dhamal , Ganesh Ghalme , Shweta Jain , Sujit Gujar

Pricing decisions are often made when market information is still poor. In turn, existing theoretical models often reason about the response of optimal prices to changing market characteristics without exploiting all available information…

Optimization and Control · Mathematics 2021-07-19 Stefanos Leonardos , Costis Melolidakis , Constandina Koki

Price discrimination, which refers to the strategy of setting different prices for different customer groups, has been widely used in online retailing. Although it helps boost the collected revenue for online retailers, it might create…

Machine Learning · Computer Science 2023-07-31 Xi Chen , Jiameng Lyu , Xuan Zhang , Yuan Zhou

For incomplete preference relations that are represented by multiple priors and/or multiple -- possibly multivariate -- utility functions, we define a certainty equivalent as well as the utility buy and sell prices and indifference price…

Optimization and Control · Mathematics 2021-04-06 Birgit Rudloff , Firdevs Ulus
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