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In this paper, we bring consumer theory to bear in the analysis of Fisher markets whose buyers have arbitrary continuous, concave, homogeneous (CCH) utility functions representing locally non-satiated preferences. The main tools we use are…

计算机科学与博弈论 · 计算机科学 2022-01-06 Denizalp Goktas , Enrique Areyan Viqueira , Amy Greenwald

We present the following results pertaining to Fisher's market model: -We give two natural generalizations of Fisher's market model: In model M_1, sellers can declare an upper bound on the money they wish to earn (and take back their unsold…

计算机科学与博弈论 · 计算机科学 2016-03-04 Nikhil R. Devanur , Kamal Jain , Tung Mai , Vijay V. Vazirani , Sadra Yazdanbod

We study Fisher markets and the problem of maximizing the Nash social welfare (NSW), and show several closely related new results. In particular, we obtain: -- A new integer program for the NSW maximization problem whose fractional…

计算机科学与博弈论 · 计算机科学 2016-09-22 Richard Cole , Nikhil R. Devanur , Vasilis Gkatzelis , Kamal Jain , Tung Mai , Vijay V. Vazirani , Sadra Yazdanbod

T\^atonnement is a simple, intuitive market process where prices are iteratively adjusted based on the difference between demand and supply. Many variants under different market assumptions have been studied and shown to converge to a…

计算机科学与博弈论 · 计算机科学 2025-02-18 Tianlong Nan , Yuan Gao , Christian Kroer

Statistical inference under market equilibrium effects has attracted increasing attention recently. In this paper we focus on the specific case of linear Fisher markets. They have been widely use in fair resource allocation of food/blood…

计量经济学 · 经济学 2025-02-19 Luofeng Liao , Yuan Gao , Christian Kroer

We present the first analysis of Fisher markets with buyers that have budget-additive utility functions. Budget-additive utilities are elementary concave functions with numerous applications in online adword markets and revenue optimization…

计算机科学与博弈论 · 计算机科学 2016-05-03 Xiaohui Bei , Jugal Garg , Martin Hoefer , Kurt Mehlhorn

We study Fisher markets that admit equilibria wherein each good is integrally assigned to some agent. While strong existence and computational guarantees are known for equilibria of Fisher markets with additive valuations, such equilibria,…

计算机科学与博弈论 · 计算机科学 2018-11-22 Siddharth Barman , Sanath Kumar Krishnamurthy

Fisher markets are one of the most fundamental models for resource allocation. However, the problem of computing equilibrium prices in Fisher markets typically relies on complete knowledge of users' budgets and utility functions and…

计算机科学与博弈论 · 计算机科学 2024-09-23 Devansh Jalota , Yinyu Ye

We study linear Fisher markets with satiation. In these markets, sellers have earning limits and buyers have utility limits. Beyond natural applications in economics, these markets arise in the context of maximizing Nash social welfare when…

数据结构与算法 · 计算机科学 2019-08-01 Jugal Garg , Martin Hoefer , Kurt Mehlhorn

We consider the problem of large-scale Fisher market equilibrium computation through scalable first-order optimization methods. It is well-known that market equilibria can be captured using structured convex programs such as the…

计算机科学与博弈论 · 计算机科学 2023-03-02 Tianlong Nan , Yuan Gao , Christian Kroer

Fisher markets are those where buyers with budgets compete for scarce items, a natural model for many real world markets including online advertising. A market equilibrium is a set of prices and allocations of items such that supply meets…

计算机科学与博弈论 · 计算机科学 2023-03-14 Alexander Peysakhovich , Christian Kroer , Nicolas Usunier

Computing market equilibria is a problem of both theoretical and applied interest. Much research to date focuses on the case of static Fisher markets with full information on buyers' utility functions and item supplies. Motivated by…

计算机科学与博弈论 · 计算机科学 2021-10-05 Yuan Gao , Christian Kroer , Alex Peysakhovich

Market equilibrium is a solution concept with many applications such as digital ad markets, fair division, and resource sharing. For many classes of utility functions, equilibria can be captured by convex programs. We develop simple…

计算机科学与博弈论 · 计算机科学 2020-11-20 Yuan Gao , Christian Kroer

The Fisher market equilibrium for private goods and the Lindahl equilibrium for public goods are classic and fundamental solution concepts for market equilibria. While Fisher market equilibria have been well-studied, the theoretical…

计算机科学与博弈论 · 计算机科学 2025-12-05 Yixin Tao , Weiqiang Zheng

We initiate the study of statistical inference and A/B testing for two market equilibrium models: linear Fisher market (LFM) equilibrium and first-price pacing equilibrium (FPPE). LFM arises from fair resource allocation systems such as…

计算机科学与博弈论 · 计算机科学 2025-03-10 Luofeng Liao , Christian Kroer

The transition to auto-bidding in online advertising has shifted the focus of auction theory from quasi-linear utility maximization to value maximization subject to financial constraints. We study mechanism design for buyers with private…

计算机科学与博弈论 · 计算机科学 2026-02-24 Xiaodong Liu , Weiran Shen , Zihe Wang

Linear Fisher market is one of the most fundamental economic models. The market is traditionally examined on the basis of individual's price-taking behavior. However, this assumption breaks in markets such as online advertising and…

计算机科学与博弈论 · 计算机科学 2024-07-17 Juncheng Li , Pingzhong Tang

Public goods are often either over-consumed in the absence of regulatory mechanisms, or remain completely unused, as in the Covid-19 pandemic, where social distance constraints are enforced to limit the number of people who can share public…

计算机科学与博弈论 · 计算机科学 2021-05-25 Devansh Jalota , Qi Qi , Marco Pavone , Yinyu Ye

In this work, we study a generalized Fisher market model that incorporates social influence. In this extended model, a buyer's utility depends not only on their own resource allocation but also on the allocations received by their…

计算机科学与博弈论 · 计算机科学 2025-01-14 Mandar Datar

We study the computation of competitive equilibrium for Fisher markets with $n$ agents and $m$ divisible chores. Competitive equilibria for chores are known to correspond to the nonzero KKT points of a program that minimizes the product of…

计算机科学与博弈论 · 计算机科学 2024-11-21 Bhaskar Ray Chaudhury , Christian Kroer , Ruta Mehta , Tianlong Nan
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