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We study a model of auction design where a seller is selling a set of objects to a set of agents who can be assigned no more than one object. Each agent's preference over (object, payment) pair need not be quasilinear. If the domain…

Theoretical Economics · Economics 2026-02-20 Tomoya Kazumura , Debasis Mishra , Shigehiro Serizawa

We introduce and study nonlinear production - consumption equilibrium (NPCE). The NPCE is a combination and generalization of both classical linear programming (LP) and classical input-output (IO) models. In contrast to LP and IO the NPCE…

Optimization and Control · Mathematics 2022-04-12 Roman Polyak

In standard Walrasian auctions, the price of a good is defined as the point where the supply and demand curves intersect. Since both curves are generically regular, the response to small perturbations is linearly small. However, a crucial…

Trading and Market Microstructure · Quantitative Finance 2017-01-04 Jonathan Donier , Jean-Philippe Bouchaud

We consider a network of prosumers involved in peer-to-peer energy exchanges, with differentiation price preferences on the trades with their neighbors, and we analyze two market designs: (i) a centralized market, used as a benchmark, where…

Optimization and Control · Mathematics 2018-12-07 Hélène Le Cadre , Paulin Jacquot , Cheng Wan , Clémence Alasseur

This paper develops tools for welfare and revenue analyses of Bayes-Nash equilibria in asymmetric auctions with single-dimensional agents. We employ these tools to derive price of anarchy results for social welfare and revenue. Our approach…

Computer Science and Game Theory · Computer Science 2019-01-17 Jason Hartline , Darrell Hoy , Sam Taggart

We analyze demand settings where heterogeneous consumers maximize utility for product attributes subject to a nonlinear budget constraint. We develop nonparametric methods for welfare-analysis of interventions that change the constraint.…

Econometrics · Economics 2024-11-05 Debopam Bhattacharya , Ekaterina Oparina , Qianya Xu

We model a delivery platform facilitating transactions among three sides: buyers, stores, and couriers. In addition to buyers paying store-specific purchase prices and couriers receiving store--buyer-specific delivery compensation from the…

Computer Science and Game Theory · Computer Science 2025-07-16 Yannai A. Gonczarowski , Gary Qiurui Ma , David C. Parkes

In the allocation of resources to a set of agents, how do fairness guarantees impact the social welfare? A quantitative measure of this impact is the price of fairness, which measures the worst-case loss of social welfare due to fairness…

Computer Science and Game Theory · Computer Science 2020-11-03 Siddharth Barman , Umang Bhaskar , Nisarg Shah

We study the problem of social welfare maximization in bilateral trade, where two agents, a buyer and a seller, trade an indivisible item. We consider arguably the simplest form of mechanisms -- the fixed-price mechanisms, where the…

Computer Science and Game Theory · Computer Science 2023-06-21 Yang Cai , Jinzhao Wu

We consider a market where a set of objects is sold to a set of buyers, each equipped with a valuation function for the objects. The goal of the auctioneer is to determine reasonable prices together with a stable allocation. One definition…

Computer Science and Game Theory · Computer Science 2024-05-22 Katharina Eickhoff , S. Thomas McCormick , Britta Peis , Niklas Rieken , Laura Vargas Koch

The Generalized Second Price auction is the primary method by which sponsered search advertisements are sold. We study the performance of this auction under various equilibrium concepts. In particular, we demonstrate that the Bayesian Price…

Computer Science and Game Theory · Computer Science 2010-11-16 Brendan Lucier , Renato Paes Leme

In electricity markets, customers are increasingly constrained by their budgets. A budget constraint for a user is an upper bound on the price multiplied by the quantity. However, since prices are determined by the market equilibrium, the…

Computer Science and Game Theory · Computer Science 2026-03-24 Lila Perkins , Baosen Zhang

We study the price competition in a duopoly with an arbitrary number of buyers. Each seller can offer multiple units of a commodity depending on the availability of the commodity which is random and may be different for different sellers.…

Computer Science and Game Theory · Computer Science 2016-11-15 Mohammad Hassan Lotfi , Saswati Sarkar

We study a new model of complementary valuations, which we call "proportional complementarities." In contrast to common models, such as hypergraphic valuations, in our model, we do not assume that the extra value derived from owning a set…

Computer Science and Game Theory · Computer Science 2019-09-04 Yang Cai , Nikhil R. Devanur , Kira Goldner , R. Preston McAfee

This paper deals with two-sided matching market with two disjoint sets, i.e. the set of buyers and the set of sellers. Each seller can trade with at most with one buyer and vice versa. Money is transferred from sellers to buyers for an…

Computer Science and Game Theory · Computer Science 2023-06-22 Yasir Ali , Asma Javaid

We propose a pseudo-market solution to resource allocation problems subject to constraints. Our treatment of constraints is general: including bihierarchical constraints due to considerations of diversity in school choice, or scheduling in…

Theoretical Economics · Economics 2020-11-09 Federico Echenique , Antonio Miralles , Jun Zhang

There are several aspects of data markets that distinguish them from a typical commodity market: asymmetric information, the non-rivalrous nature of data, and informational externalities. Formally, this gives rise to a new class of games…

Computer Science and Game Theory · Computer Science 2023-03-29 Samir Wadhwa , Roy Dong

A combinatorial market consists of a set of indivisible items and a set of agents, where each agent has a valuation function that specifies for each subset of items its value for the given agent. From an optimization point of view, the goal…

Computer Science and Game Theory · Computer Science 2023-01-05 Kristóf Bérczi , Laura Codazzi , Julian Golak , Alexander Grigoriev

According to the fundamental theorems of welfare economics, any competitive equilibrium is Pareto efficient. Unfortunately, competitive equilibrium prices only exist under strong assumptions such as perfectly divisible goods and convex…

Computer Science and Game Theory · Computer Science 2023-05-24 Mete Şeref Ahunbay , Martin Bichler , Johannes Knörr

We examine the complexity of computing welfare- and revenue-maximizing equilibria in autobidding second-price auctions subject to return-on-spend (RoS) constraints. We show that computing an autobidding equilibrium that approximates the…

Computer Science and Game Theory · Computer Science 2026-02-11 Ioannis Anagnostides , Ian Gemp , Georgios Piliouras , Kelly Spendlove