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Approval voting is widely used for making multi-winner voting decisions. The canonical rule (also called Approval Voting) used in the setting aims to maximize social welfare by selecting candidates with the highest number of approvals. We…

Computer Science and Game Theory · Computer Science 2026-04-21 Haris Aziz , Yuhang Guo , Venkateswara Rao Kagita , Baharak Rastegari , Mashbat Suzuki

We study the problem of an organization that matches agents to objects where agents have preference rankings over objects and the organization uses algorithms to construct a ranking over objects on behalf of each agent. Our new framework…

Theoretical Economics · Economics 2025-08-12 Terence Highsmith

If a two-player social welfare maximization problem does not admit a PTAS, we prove that any maximal-in-range truthful mechanism that runs in polynomial time cannot achieve an approximation factor better than 1/2. Moreover, for the k-player…

Computer Science and Game Theory · Computer Science 2009-12-18 Shaddin Dughmi , Hu Fu , Robert Kleinberg

Fair allocation of indivisible goods studies allocating $m$ goods among $n$ agents in a fair manner. While fairness is a fundamental requirement in many real-world applications, it often conflicts with (economic) efficiency. This raises a…

Computer Science and Game Theory · Computer Science 2025-06-03 Xiaolin Bu , Zihao Li , Shengxin Liu , Jiaxin Song , Biaoshuai Tao

We initiate the work on maximin share (MMS) fair allocation of m indivisible chores to n agents using only their ordinal preferences, from both algorithmic and mechanism design perspectives. The previous best-known approximation is 2-1/n by…

Computer Science and Game Theory · Computer Science 2020-12-29 Haris Aziz , Bo Li , Xiaowei Wu

We study the design of voting mechanisms in a binary social choice environment where agents' cardinal valuations are independent but not necessarily identically distributed. The mechanism must be anonymous -- the outcome is invariant to…

Theoretical Economics · Economics 2025-08-12 Yaron Azrieli , Ritesh Jain , Semin Kim

We study social welfare relations (SWRs) on an infinite population. Our main result is a new characterization of a utilitarian SWR as the \emph{largest} SWR (in terms of subset when the weak relation is viewed as a set of pairs) which…

General Economics · Economics 2024-11-08 Jeremy Goodman , Harvey Lederman

We study the problem of fairly and truthfully allocating $m$ indivisible items to $n$ agents with additive preferences. Specifically, we consider truthful mechanisms outputting allocations that satisfy EF$^{+u}_{-v}$, where, in an…

Computer Science and Game Theory · Computer Science 2025-12-08 Xiaolin Bu , Biaoshuai Tao

Approximating the optimal social welfare while preserving truthfulness is a well studied problem in algorithmic mechanism design. Assuming that the social welfare of a given mechanism design problem can be optimized by an integer program…

Computer Science and Game Theory · Computer Science 2014-08-13 Dennis Kraft , Salman Fadaei , Martin Bichler

We initiate the study of matching roommates and rooms wherein the preferences of agents over other agents and rooms are complementary and represented by Leontief utilities. In this setting, 2n agents must be paired up and assigned to n…

Computer Science and Game Theory · Computer Science 2024-12-19 Hadi Hosseini , Shivika Narang , Sanjukta Roy

We consider randomized mechanisms with optional participation. Preferences over lotteries are modeled using skew-symmetric bilinear (SSB) utility functions, a generalization of classic von Neumann-Morgenstern utility functions. We show that…

Computer Science and Game Theory · Computer Science 2015-08-17 Florian Brandl , Felix Brandt , Johannes Hofbauer

We consider a participatory budgeting problem in which each voter submits a proposal for how to divide a single divisible resource (such as money or time) among several possible alternatives (such as public projects or activities) and these…

Computer Science and Game Theory · Computer Science 2022-01-24 Rupert Freeman , David M. Pennock , Dominik Peters , Jennifer Wortman Vaughan

We consider the problem of allocating a set of divisible goods to $N$ agents in an online manner, aiming to maximize the Nash social welfare, a widely studied objective which provides a balance between fairness and efficiency. The goods…

Computer Science and Game Theory · Computer Science 2021-08-04 Siddhartha Banerjee , Vasilis Gkatzelis , Artur Gorokh , Billy Jin

We study the problem of fairly allocating a set of $m$ goods among $n$ agents in the asymptotic setting, where each item's value for each agent is drawn from an underlying joint distribution. Prior works have shown that if this distribution…

Computer Science and Game Theory · Computer Science 2025-12-12 Jugal Garg , Vishnu V. Narayan , Yuang Eric Shen

We study the fundamental problem of allocating indivisible goods to agents with additive preferences. We consider eliciting from each agent only a ranking of her $k$ most preferred goods instead of her full cardinal valuations. We…

Computer Science and Game Theory · Computer Science 2021-05-25 Daniel Halpern , Nisarg Shah

We study allocation mechanisms that utilize costly signaling as a screening tool. A social planner aims to maximize social welfare, defined as the weighted sum of agents' utilities, while implementing a specific allocation rule. Within a…

Theoretical Economics · Economics 2026-03-04 Yingkai Li , Xiaoyun Qiu

In school choice problems, the motivation for students' welfare (efficiency) is restrained by concerns to respect schools' priorities (fairness). Among the fair matchings, even the best one in terms of welfare (SOSM) is inefficient.…

Theoretical Economics · Economics 2023-09-06 Mustafa Oguz Afacan , Umut Dur , A. Arda Gitmez , Özgür Yılmaz

We study the problem of approximating maximum Nash social welfare (NSW) when allocating m indivisible items among n asymmetric agents with submodular valuations. The NSW is a well-established notion of fairness and efficiency, defined as…

Computer Science and Game Theory · Computer Science 2020-01-01 Jugal Garg , Pooja Kulkarni , Rucha Kulkarni

We study the classical problem of matching $n$ agents to $n$ objects, where the agents have ranked preferences over the objects. We focus on two popular desiderata from the matching literature: Pareto optimality and rank-maximality. Instead…

Computer Science and Game Theory · Computer Science 2021-04-15 Hadi Hosseini , Vijay Menon , Nisarg Shah , Sujoy Sikdar

We examine the complexity of computing welfare- and revenue-maximizing equilibria in autobidding second-price auctions subject to return-on-spend (RoS) constraints. We show that computing an autobidding equilibrium that approximates the…

Computer Science and Game Theory · Computer Science 2026-02-11 Ioannis Anagnostides , Ian Gemp , Georgios Piliouras , Kelly Spendlove
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