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We consider ordinal approximation algorithms for a broad class of utility maximization problems for multi-agent systems. In these problems, agents have utilities for connecting to each other, and the goal is to compute a maximum-utility…

Multiagent Systems · Computer Science 2017-11-30 Ben Abramowitz , Elliot Anshelevich

In this paper, we consider a general distributed system with multiple agents who select and then implement actions in the system. The system has an operator with a centralized objective. The agents, on the other hand, are selfinterested and…

Computer Science and Game Theory · Computer Science 2020-01-15 Donya Ghavidel , Pratyush Chakraborty , Enrique Baeyens , Vijay Gupta , Pramod P. Khargonekar

The past few years have seen a surge of work on fairness in allocation problems where items must be fairly divided among agents having individual preferences. In comparison, fairness in settings with preferences on both sides, that is,…

Computer Science and Game Theory · Computer Science 2022-05-26 Shivika Narang , Arpita Biswas , Y Narahari

We explore the possibility of designing matching mechanisms that can accommodate non-standard choice behavior. We pin down the necessary and sufficient conditions on participants' choice behavior for the existence of stable and incentive…

Theoretical Economics · Economics 2024-08-12 Gian Caspari , Manshu Khanna

Matching mechanisms play a central role in operations management across diverse fields including education, healthcare, and online platforms. However, experimentally comparing a new matching algorithm against a status quo presents some…

Methodology · Statistics 2026-01-30 Chonghuan Wang

We design an expected polynomial-time, truthful-in-expectation, (1-1/e)-approximation mechanism for welfare maximization in a fundamental class of combinatorial auctions. Our results apply to bidders with valuations that are m matroid rank…

Computer Science and Game Theory · Computer Science 2011-04-19 Shaddin Dughmi , Tim Roughgarden , Qiqi Yan

A common economic process is crowdsearch, wherein a group of agents is invited to search for a valuable physical or virtual object, e.g. creating and patenting an invention, solving an open scientific problem, or identifying vulnerabilities…

Theoretical Economics · Economics 2023-11-16 Hans Gersbach , Akaki Mamageishvili , Fikri Pitsuwan

In practice, most auction mechanisms are not strategy-proof, so equilibrium analysis is required to predict bidding behavior. In many auctions, though, an exact equilibrium is not known and one would like to understand whether -- manually…

Computer Science and Game Theory · Computer Science 2024-08-22 Fabian R. Pieroth , Tuomas Sandholm

We study dynamic matching in an infinite-horizon stochastic market. While all agents are potentially compatible with each other, some are hard-to-match and others are easy-to-match. Agents prefer to be matched as soon as possible and…

Data Structures and Algorithms · Computer Science 2017-11-09 Itai Ashlagi , Maximillien Burq , Patrick Jaillet , Vahideh Manshadi

In this article the most fundamental decomposition-based optimization method - block coordinate search, based on the sequential decomposition of problems in subproblems - and building performance simulation programs are used to reason about…

Optimization and Control · Mathematics 2016-09-12 Gian Luca Brunetti

We study the problem of fairly allocating a set of indivisible goods among agents with additive valuations. The extent of fairness of an allocation is measured by its Nash social welfare, which is the geometric mean of the valuations of the…

Computer Science and Game Theory · Computer Science 2018-07-23 Siddharth Barman , Sanath Kumar Krishnamurthy , Rohit Vaish

This paper studies a decentralized many-to-one matching market where preferences remain uncertain during the matching process. Institutions initiate matching by sending offers, and applicants decide whether to accept upon receiving them.…

Theoretical Economics · Economics 2025-11-14 Yu-Ting Ho

The efficient computation of large matchings with desirable guarantees is a crucial objective in market design. However, even in simple two-sided matching markets with weak ordinal preferences, finding a maximum-size stable matching is…

Computer Science and Game Theory · Computer Science 2026-02-26 Gergely Csáji , Frederik Glitzner

Consider a setting where selfish agents are to be assigned to coalitions or projects from a fixed set P. Each project k is characterized by a valuation function; v_k(S) is the value generated by a set S of agents working on project k. We…

Computer Science and Game Theory · Computer Science 2015-08-28 Elliot Anshelevich , Shreyas Sekar

We study two-sided many-to-one matching markets with transferable utilities, e.g., labor and rental housing markets, in which money can exchange hands between agents, subject to distributional constraints on the set of feasible allocations.…

Theoretical Economics · Economics 2022-04-26 Devansh Jalota , Michael Ostrovsky , Marco Pavone

Ad auctions in sponsored search support ``broad match'' that allows an advertiser to target a large number of queries while bidding only on a limited number. While giving more expressiveness to advertisers, this feature makes it challenging…

Computer Science and Game Theory · Computer Science 2009-01-26 Eyal Even-dar , Yishay Mansour , Vahab Mirrokni , S. Muthukrishnan , Uri Nadav

We consider a market in which both suppliers and consumers compete for a product via scalar-parameterized supply offers and demand bids. Scalar-parameterized offers/bids are appealing due to their modeling simplicity and desirable…

General Economics · Economics 2020-03-04 Mariola Ndrio , Khaled Alshehri , Subhonmesh Bose

Understanding the bias-variance tradeoff in user representation learning is essential for improving recommendation quality in modern content platforms. While well studied in static settings, this tradeoff becomes significantly more complex…

Computer Science and Game Theory · Computer Science 2026-03-03 Kang Wang , Renzhe Xu , Bo Li

Given a set of $m$ agents and a set of $n$ items, where agent $A$ has utility $u_{A,i}$ for item $i$, our goal is to allocate items to agents to maximize fairness. Specifically, the utility of an agent is the sum of its utilities for items…

Data Structures and Algorithms · Computer Science 2009-01-05 Deeparnab Chakrabarty , Julia Chuzhoy , Sanjeev Khanna

Matching plays a vital role in the rational allocation of resources in many areas, ranging from market operation to people's daily lives. In economics, the term matching theory is coined for pairing two agents in a specific market to reach…

Social and Information Networks · Computer Science 2021-03-17 Jing Ren , Feng Xia , Xiangtai Chen , Jiaying Liu , Mingliang Hou , Ahsan Shehzad , Nargiz Sultanova , Xiangjie Kong
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