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For a many-to-one market where firms are endowed with path-independent choice functions, based on the Aizerman-Malishevski decomposition, we define an associated one-to-one market. Given that the usual notion of stability for a one-to-one…

Theoretical Economics · Economics 2025-05-16 Pablo Neme , Jorge Oviedo

We study one-sided matchings with endowments in the absence of money. It is well-known that a competitive equilibrium may not always exist and that the strong core may be empty in this setting [Hylland and Zeckhauser, 1979]. We propose a…

Computer Science and Game Theory · Computer Science 2026-03-19 Mark Braverman , Jingyi Liu , Eric Xue , Chenghan Zhou

AI agents are increasingly transacting on behalf of users -- delegating tasks, spending budgets, and negotiating with unfamiliar counterparties. Unlike human marketplaces, which operate under institutional designs refined over centuries,…

Computational Engineering, Finance, and Science · Computer Science 2026-05-29 Xuan Liu , Haoyang Shang , Haojian Jin

Stable matching is a fundamental area with many practical applications, such as centralised clearinghouses for school choice or job markets. Recent work has introduced the paradigm of near-feasibility in capacitated matching settings, where…

Computer Science and Game Theory · Computer Science 2026-02-12 Frederik Glitzner

Consider the object allocation (one-sided matching) model of Shapley and Scarf (1974). When final allocations are observed but agents' preferences are unknown, when might the allocation be in the core? This is a one-sided analogue of the…

Theoretical Economics · Economics 2023-08-08 Andrew Tai

A coordinated trading process is proposed as a design for an electricity market with significant uncertainty, perhaps from renewables. In this process, groups of agents propose to the system operator (SO) a contingent buy and sell trade…

Optimization and Control · Mathematics 2017-08-28 Junjie Qin , Ram Rajagopal , Pravin Varaiya

The deferred acceptance algorithm is an elegant solution to the stable matching problem that guarantees optimality and truthfulness for one side of the market. Despite these desirable guarantees, it is susceptible to strategic misreporting…

Computer Science and Game Theory · Computer Science 2020-12-09 Hadi Hosseini , Fatima Umar , Rohit Vaish

Cooperation in settings where agents have both common and conflicting interests (mixed-motive environments) has recently received considerable attention in multi-agent learning. However, the mixed-motive environments typically studied have…

Multiagent Systems · Computer Science 2021-11-30 Julian Stastny , Maxime Riché , Alexander Lyzhov , Johannes Treutlein , Allan Dafoe , Jesse Clifton

Motivated by recent applications of sequential decision making in matching markets, in this paper we attempt at formulating and abstracting market designs for P2P lending. We describe a paradigm to set the stage for how peer to peer…

Computer Science and Game Theory · Computer Science 2023-08-08 Soumajyoti Sarkar

We study discrete-time predictable forward processes when trading times do not coincide with performance evaluation times in a binomial tree model for the financial market. The key step in the construction of these processes is to solve a…

Mathematical Finance · Quantitative Finance 2023-12-05 Gechun Liang , Moris S. Strub , Yuwei Wang

Motivated by the emergence of popular service-based two-sided markets where sellers can serve multiple buyers at the same time, we formulate and study the {\em two-sided cost sharing} problem. In two-sided cost sharing, sellers incur…

Computer Science and Game Theory · Computer Science 2021-07-14 Sreenivas Gollapudi , Kostas Kollias , Ali Shameli

We suggest that the analysis of incomplete contracting developed by law and economics researchers can provide a useful framework for understanding the AI alignment problem and help to generate a systematic approach to finding solutions. We…

Artificial Intelligence · Computer Science 2018-04-13 Dylan Hadfield-Menell , Gillian Hadfield

Two-sided online matching platforms are employed in various markets. However, agents' preferences in the current market are usually implicit and unknown, thus needing to be learned from data. With the growing availability of dynamic side…

Machine Learning · Computer Science 2024-05-30 Yuantong Li , Chi-hua Wang , Guang Cheng , Will Wei Sun

Typically, fair machine learning research focuses on a single decisionmaker and assumes that the underlying population is stationary. However, many of the critical domains motivating this work are characterized by competitive marketplaces…

Computers and Society · Computer Science 2022-09-28 Jessica Dai , Sina Fazelpour , Zachary C. Lipton

Two-sided matching platforms provide users with menus of match recommendations. To maximize the number of realized matches between the two sides (referred here as customers and suppliers), the platform must balance the inherent tension…

Computer Science and Game Theory · Computer Science 2020-07-29 Itai Ashlagi , Anilesh K. Krishnaswamy , Rahul Makhijani , Daniela Saban , Kirankumar Shiragur

Job search through online matching engines nowadays are very prominent and beneficial to both job seekers and employers. But the solutions of traditional engines without understanding the semantic meanings of different resumes have not kept…

Computation and Language · Computer Science 2016-07-27 Yiou Lin , Hang Lei , Prince Clement Addo , Xiaoyu Li

``Composable core-sets'' are an efficient framework for solving optimization problems in massive data models. In this work, we consider efficient construction of composable core-sets for the determinant maximization problem. This can also…

Data Structures and Algorithms · Computer Science 2019-07-09 Piotr Indyk , Sepideh Mahabadi , Shayan Oveis Gharan , Alireza Rezaei

The United States labor market exhibits a persistent coexistence of high job vacancy rates and prolonged unemployment duration, a pattern that standard labor market theory struggles to explain. This paper argues that a non-trivial portion…

Computers and Society · Computer Science 2026-01-22 Ibrahim Denis Fofanah

This paper introduces a unified framework for stable matching, which nests the traditional definition of stable matching in finite markets and the continuum definition of stable matching from Azevedo and Leshno (2016) as special cases.…

Theoretical Economics · Economics 2022-05-26 Nick Arnosti

We study the problem of decision-making in the setting of a scarcity of shared resources when the preferences of agents are unknown a priori and must be learned from data. Taking the two-sided matching market as a running example, we focus…

Computer Science and Game Theory · Computer Science 2021-11-24 Xiaowu Dai , Michael I. Jordan
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