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We study a combinatorial market design problem, where a collection of indivisible objects is to be priced and sold to potential buyers subject to equilibrium constraints.The classic solution concept for such problems is Walrasian…

Computer Science and Game Theory · Computer Science 2013-04-09 Michal Feldman , Nick Gravin , Brendan Lucier

We study the problem of designing a two-sided market (double auction) to maximize the gains from trade (social welfare) under the constraints of (dominant-strategy) incentive compatibility and budget-balance. Our goal is to do so for an…

Computer Science and Game Theory · Computer Science 2024-06-21 Moshe Babaioff , Amitai Frey , Noam Nisan

We present the first polynomial time algorithm for computing Walrasian equilibrium in an economy with indivisible goods and \emph{general} buyer valuations having only access to an \emph{aggregate demand oracle}, i.e., an oracle that given…

Computer Science and Game Theory · Computer Science 2016-04-06 Renato Paes Leme , Sam Chiu-wai Wong

PPAD refers to a class of computational problems for which solutions are guaranteed to exist due to a specific combinatorial principle. The most well-known such problem is that of computing a Nash equilibrium of a game. Other examples…

Computer Science and Game Theory · Computer Science 2015-03-19 Paul W. Goldberg

This paper studies markets where a set of indivisible items is sold to bidders with quasilinear, unit-demand valuations, subject to a hard budget constraint. Without financial constraints the well-known assignment market model of Shapley…

Computer Science and Game Theory · Computer Science 2025-07-16 Eleni Batziou , Martin Bichler , Maximilian Fichtl

This paper explores the design of a balanced data-sharing marketplace for entities with heterogeneous datasets and machine learning models that they seek to refine using data from other agents. The goal of the marketplace is to encourage…

Computer Science and Game Theory · Computer Science 2024-01-25 Aditya Bhaskara , Sreenivas Gollapudi , Sungjin Im , Kostas Kollias , Kamesh Munagala , Govind S. Sankar

In this paper, we study decentralized decision-making where agents optimize private objectives under incomplete information and imperfect public monitoring, in a non-cooperative setting. By shaping utilities-embedding shadow prices or…

Computer Science and Game Theory · Computer Science 2025-10-31 David Smith , Jie Dong , Yizhou Yang

In this paper, we investigate the capacitated assortment optimization problem with pricing under the paired combinatorial logit model, whose goal is to identify the revenue-maximizing subset of products as well as their selling prices…

Optimization and Control · Mathematics 2018-10-24 Daihan Zhang , Zhenghe Zhong , Chuning Gao , Rui Chen

We consider the Arrow--Debreu exchange market model under the assumption that the agents' demands satisfy the weak gross substitutes (WGS) property. We present a simple auction algorithm that obtains an approximate market equilibrium for…

Computer Science and Game Theory · Computer Science 2022-05-03 Jugal Garg , Edin Husić , László A. Végh

We present an algorithm for computing pure-strategy epsilon-perfect Bayesian equilibria in sequential auctions with continuous action and value spaces. Importantly, our algorithm includes a verification phase that computes an upper bound on…

Computer Science and Game Theory · Computer Science 2025-02-19 Vinzenz Thoma , Vitor Bosshard , Sven Seuken

We study a participatory budgeting problem of aggregating the preferences of agents and dividing a budget over the projects. A budget division solution is a probability distribution over the projects. The main purpose of our study concerns…

Computer Science and Game Theory · Computer Science 2020-11-02 Zhongzheng Tang , Chenhao Wang , Mengqi Zhang

As the number of prosumers with distributed energy resources (DERs) grows, the conventional centralized operation scheme may suffer from conflicting interests, privacy concerns, and incentive inadequacy. In this paper, we propose an energy…

Computer Science and Game Theory · Computer Science 2022-06-29 Yue Chen , Changhong Zhao , Steven H. Low , Adam Wierman

Duality of linear programming is a standard approach to the classical weighted maximum matching problem. From an economic perspective, the dual variables can be regarded as prices of products and payoffs of buyers in a two-sided matching…

Data Structures and Algorithms · Computer Science 2019-12-03 Xiaoming Li , Tao Lin

In the area of matching-based market design, existing models using cardinal utilities suffer from two deficiencies: First, the Hylland-Zeckhauser (HZ) mechanism, which has remained a classic in economics for one-sided matching markets, is…

Computer Science and Game Theory · Computer Science 2024-11-05 Ioannis Panageas , Thorben Tröbst , Vijay V. Vazirani

Equilibria of realistic multiplayer games constitute a key solution concept both in practical applications, such as online advertising auctions and electricity markets, and in analytical frameworks used to study strategic voting in…

Computer Science and Game Theory · Computer Science 2025-11-18 Jakub Černý , Shuvomoy Das Gupta , Christian Kroer

Recommendation systems when employed in markets play a dual role: they assist users in selecting their most desired items from a large pool and they help in allocating a limited number of items to the users who desire them the most. Despite…

Machine Learning · Computer Science 2022-08-01 Yigit Efe Erginbas , Soham Phade , Kannan Ramchandran

We develop an axiomatic theory for Automated Market Makers (AMMs) in local energy sharing markets and analyze the Markov Perfect Equilibrium of the resulting economy with a Mean-Field Game. In this game, heterogeneous prosumers solve a…

Theoretical Economics · Economics 2026-01-01 Michele Fabi , Viraj Nadkarni , Leonardo Leone , Matheus X. V. Ferreira

We study the relationship between two central concepts in the allocation of divisible goods: competitive equilibrium (CE) and allocations that maximize Nash welfare, i.e., allocations where the weighted geometric mean of the utilities is…

Computer Science and Game Theory · Computer Science 2026-03-18 Jugal Garg , Yixin Tao , László A. Végh

Flexibility markets can be introduced as a tool for the distribution system operator (DSO) to avoid high costs and public opposition against new network investments. Continuous flexibility markets have the advantage of allowing more…

Systems and Control · Electrical Eng. & Systems 2021-10-13 Alicia Alarcón Cobacho , Eléa Prat , Daniel Vázquez Pombo , Spyros Chatzivasileiadis

As distributed energy resources (DERs) proliferate, future power system will need new market platforms enabling prosumers to trade various electricity and grid-support products. However, prosumers often exhibit complex, product…

Systems and Control · Electrical Eng. & Systems 2026-03-12 Shobhit Singhal , Lesia Mitridati
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