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We study the selection of agents based on mutual nominations, a theoretical problem with many applications from committee selection to AI alignment. As agents both select and are selected, they may be incentivized to misrepresent their true…

Computer Science and Game Theory · Computer Science 2025-10-23 Javier Cembrano , Felix Fischer , Max Klimm

In many applications such as rationing medical care and supplies, university admissions, and the assignment of public housing, the decision of who receives an allocation can be justified by various normative criteria. Such settings have…

Computer Science and Game Theory · Computer Science 2023-05-30 Siddhartha Banerjee , Matthew Eichhorn , David Kempe

In this paper, we study the two-facility location game on a line with optional preference where the acceptable set of facilities for each agent could be different and an agent's cost is his distance to the closest facility within his…

Data Structures and Algorithms · Computer Science 2019-07-23 Minming Li , Pinyan Lu , Yuhao Yao , Jialin Zhang

Utility preference robust optimization (PRO) has recently been proposed to deal with optimal decision making problems where the decision maker's (DM) preference over gains and losses is ambiguous. In this paper, we take a step further to…

Optimization and Control · Mathematics 2024-03-11 Jian Hu , Dali Zhang , Huifu Xu , Sainan Zhang

We consider peer review in a conference setting where there is typically an overlap between the set of reviewers and the set of authors. This overlap can incentivize strategic reviews to influence the final ranking of one's own papers. In…

Computer Science and Game Theory · Computer Science 2020-02-04 Yichong Xu , Han Zhao , Xiaofei Shi , Jeremy Zhang , Nihar B. Shah

In the problem of fully allocating a social endowment of perfectly divisible commodities among a group of agents with multidimensional single-peaked preferences, we study strategy-proof rules that are not Pareto-dominated by other…

Theoretical Economics · Economics 2025-02-26 Agustin G. Bonifacio

In problems involving the allocation of a single non-disposable commodity, we study rules defined on a general domain of preferences requiring only that each preference exhibit a unique global maximum. Our focus is on rules that satisfy a…

Theoretical Economics · Economics 2025-12-18 R. Pablo Arribillaga , Agustin G. Bonifacio

We consider a new setting of facility location games with ordinal preferences. In such a setting, we have a set of agents and a set of facilities. Each agent is located on a line and has an ordinal preference over the facilities. Our goal…

Computer Science and Game Theory · Computer Science 2021-07-06 Hau Chan , Minming Li , Chenhao Wang

Obviously strategyproof (OSP) mechanisms maintain the incentive compatibility of agents that are not fully rational. They have been object of a number of studies since their recent definition. A research agenda, initiated in…

Computer Science and Game Theory · Computer Science 2018-04-30 Diodato Ferraioli , Carmine Ventre

We study the design of one-to-one matching mechanisms that are strategy-proof for both sides and as stable as possible. Motivated by the impossibility result of Roth (1982), we formulate the mechanism design problem as a linear program that…

Theoretical Economics · Economics 2026-02-04 Tohya Sugano

The aggregation of conflicting preferences is a central problem in multiagent systems. The key difficulty is that the agents may report their preferences insincerely. Mechanism design is the art of designing the rules of the game so that…

Computer Science and Game Theory · Computer Science 2014-08-08 Vincent Conitzer , Tuomas Sandholm

The aggregation of conflicting preferences is a central problem in multiagent systems. The key difficulty is that the agents may report their preferences insincerely. Mechanism design is the art of designing the rules of the game so that…

Computer Science and Game Theory · Computer Science 2007-05-23 Vincent Conitzer , Tuomas Sandholm

Preference-based reinforcement learning (RL) is a key paradigm for aligning policies with human judgments, yet its theoretical behavior in distributed settings where preference data are fragmented across heterogeneous users remains poorly…

Machine Learning · Computer Science 2026-05-21 Zhanhong Jiang

A simple mechanism for allocating indivisible resources is sequential allocation in which agents take turns to pick items. We focus on possible and necessary allocation problems, checking whether allocations of a given form occur in some or…

Artificial Intelligence · Computer Science 2014-12-09 Haris Aziz , Toby Walsh , Lirong Xia

We consider the task of allocating indivisible items to agents, when the agents' preferences over the items are identical. The preferences are captured by means of a directed acyclic graph, with vertices representing items and an edge…

Discrete Mathematics · Computer Science 2024-02-02 Nina Chiarelli , Clément Dallard , Andreas Darmann , Stefan Lendl , Martin Milanič , Peter Muršič , Ulrich Pferschy

We study the problem of designing replication-proof bandit mechanisms when agents strategically register or replicate their own arms to maximize their payoff. Specifically, we consider Bayesian agents who only know the distribution from…

Computer Science and Game Theory · Computer Science 2025-02-04 Suho Shin , Seyed A. Esmaeili , MohammadTaghi Hajiaghayi

Diffusion mechanism design, which investigate how to incentivise agents to invite as many colleagues to a multi-agent decision making as possible, is a new research paradigm at the intersection between microeconomics and computer science.…

Computer Science and Game Theory · Computer Science 2024-11-13 Ryoto Ando , Kei Kimura , Taiki Todo , Makoto Yokoo

In their seminal paper that initiated the field of algorithmic mechanism design, \citet{NR99} studied the problem of designing strategyproof mechanisms for scheduling jobs on unrelated machines aiming to minimize the makespan. They provided…

Computer Science and Game Theory · Computer Science 2022-09-12 Eric Balkanski , Vasilis Gkatzelis , Xizhi Tan

Two important requirements when aggregating the preferences of multiple agents are that the outcome should be economically efficient and the aggregation mechanism should not be manipulable. In this paper, we provide a computer-aided proof…

Computer Science and Game Theory · Computer Science 2017-09-07 Florian Brandl , Felix Brandt , Manuel Eberl , Christian Geist

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