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In the stable allocation problem on a two-sided market introduced and studied by Baiou and Balinski in the early 2000's, one is given a bipartite graph $G=(V,E)$ with capacities $b$ on the edges (``contracts'') and quotas $q$ on the…

Combinatorics · Mathematics 2025-04-29 Alexander V. Karzanov

Cooperative game theory has diverse applications in contemporary artificial intelligence, including domains like interpretable machine learning, resource allocation, and collaborative decision-making. However, specifying a cooperative game…

Computer Science and Game Theory · Computer Science 2024-12-05 Filip Úradník , David Sychrovský , Jakub Černý , Martin Černý

It is often beneficial for agents to pool their resources in order to better accommodate fluctuations in individual demand. Many multi-round resource allocation mechanisms operate in an online manner: in each round, the agents specify their…

Computer Science and Game Theory · Computer Science 2022-08-02 Fu Li , C. Gregory Plaxton , Vaibhav B. Sinha

An economy, large or small, has traditionally been defined in terms of an explicit set of agents and an assignment of characteristics to each agent. But when individual agents are negligible, most economically relevant properties of an…

Theoretical Economics · Economics 2026-04-29 Michael Greinecker , Konrad Podczeck

We study the problem of fairly allocating indivisible goods between groups of agents using the recently introduced relaxations of envy-freeness. We consider the existence of fair allocations under different assumptions on the valuations of…

Computer Science and Game Theory · Computer Science 2020-09-17 Maria Kyropoulou , Warut Suksompong , Alexandros A. Voudouris

We study the problem of selection in the context of Bayesian persuasion. We are given multiple agents with hidden values (or quality scores), to whom resources must be allocated by a welfare-maximizing decision-maker. An intermediary with…

Computer Science and Game Theory · Computer Science 2025-11-18 Yannan Bai , Kamesh Munagala , Yiheng Shen , Davidson Zhu

In this paper we consider multi-agent coalitional games with uncertain value functions for which we establish distribution-free guarantees on the probability of allocation stability, i.e., agents do not have incentives to defect from the…

Optimization and Control · Mathematics 2022-06-24 George Pantazis , Filippo Fabiani , Filiberto Fele , Kostas Margellos

Prediction markets are often described as mechanisms that ``aggregate information'' into prices, yet the mapping from dispersed private information to observed market histories is typically noisy, endogenous, and shaped by heterogeneous and…

Mathematical Finance · Quantitative Finance 2026-01-28 Juan Pablo Madrigal-Cianci , Camilo Monsalve Maya , Lachlan Breakey

In a multi-unit market, a seller brings multiple units of a good and tries to sell them to a set of buyers that have monetary endowments. While a Walrasian equilibrium does not always exist in this model, natural relaxations of the concept…

Computer Science and Game Theory · Computer Science 2018-09-28 Simina Brânzei , Aris Filos-Ratsikas

In this paper, we present new results on the fair and efficient allocation of indivisible goods to agents whose preferences correspond to {\em matroid rank functions}. This is a versatile valuation class with several desirable properties…

Artificial Intelligence · Computer Science 2021-06-21 Nawal Benabbou , Mithun Chakraborty , Ayumi Igarashi , Yair Zick

We consider the problem of fairly allocating indivisible public goods. We model the public goods as elements with feasibility constraints on what subsets of elements can be chosen, and assume that agents have additive utilities across…

Computer Science and Game Theory · Computer Science 2018-05-10 Brandon Fain , Kamesh Munagala , Nisarg Shah

We study the design of efficient mechanisms under asymmetric awareness and information. Unawareness refers to the lack of conception rather than the lack of information. Assuming quasi-linear utilities and private values, we show that we…

Theoretical Economics · Economics 2025-04-08 Kym Pram , Burkhard C. Schipper

We study a networked economic system composed of $n$ producers supplying a single homogeneous good to a number of geographically separated markets and of a centralized authority, called the market maker. Producers compete \`a la Cournot, by…

Computer Science and Game Theory · Computer Science 2026-03-31 Giacomo Como , Fabio Fagnani , Leonardo Massai , Martina Vanelli

We represent an exchange economy in terms of statistical ensembles for complex networks by introducing the concept of market configuration. This is defined as a sequence of nonnegative discrete random variables $\{w_{ij}\}$ describing the…

General Finance · Quantitative Finance 2016-09-15 Leonardo Bargigli , Andrea Lionetto , Stefano Viaggiu

We study fair allocation of constrained resources, where a market designer optimizes overall welfare while maintaining group fairness. In many large-scale settings, utilities are not known in advance, but are instead observed after…

Computer Science and Game Theory · Computer Science 2024-11-06 Elita Lobo , Justin Payan , Cyrus Cousins , Yair Zick

Two agents trade an item in a simultaneous offer setting, where the exchange takes place if and only if the buyer's bid price weakly exceeds the seller's ask price. Each agent is randomly assigned the buyer or seller role. Both agents are…

Theoretical Economics · Economics 2025-05-29 José Ignacio Rivero-Wildemauwe

We investigate the fair allocation of indivisible goods to agents with possibly different entitlements represented by weights. Previous work has shown that guarantees for additive valuations with existing envy-based notions cannot be…

Computer Science and Game Theory · Computer Science 2025-04-18 Luisa Montanari , Ulrike Schmidt-Kraepelin , Warut Suksompong , Nicholas Teh

The emergence of new communication technologies allows us to expand our understanding of distributed control and consider collaborative decision-making paradigms. With collaborative algorithms, certain local decision-making entities (or…

Computer Science and Game Theory · Computer Science 2023-08-17 Bryce L. Ferguson , Dario Paccagnan , Bary S. R. Pradelski , Jason R. Marden

We study the problem of fairly allocating indivisible goods to agents with weights corresponding to their entitlements. Previous work has shown that, when agents have binary additive valuations, the maximum weighted Nash welfare rule is…

Theoretical Economics · Economics 2023-10-10 Warut Suksompong , Nicholas Teh

Collaborative learning offers a promising avenue for leveraging decentralized data. However, collaboration in groups of strategic learners is not a given. In this work, we consider strategic agents who wish to train a model together but…

Computer Science and Game Theory · Computer Science 2024-12-12 Aymeric Capitaine , Etienne Boursier , Antoine Scheid , Eric Moulines , Michael I. Jordan , El-Mahdi El-Mhamdi , Alain Durmus