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A central problem in multiagent systems is the fair assignment of objects to agents. In this paper, we initiate the analysis of classic majoritarian social choice functions in assignment. Exploiting the special structure of the assignment…

Theoretical Economics · Economics 2026-05-20 Felix Brandt , Haoyuan Chen , Chris Dong , Patrick Lederer , Alexander Schlenga

The key contribution of the paper is a comprehensive study of the egalitarian mechanism with respect to manipulation by a coalition of agents. Our main result is that the egalitarian mechanism is, in fact, peak group strategyproof : no…

Computer Science and Game Theory · Computer Science 2011-07-25 Shyam S Chandramouli , Jay Sethuraman

Arrow's Impossibility Theorem is a seminal result of Social Choice Theory that demonstrates the impossibility of ranked-choice decision-making processes to jointly satisfy a number of intuitive and seemingly desirable constraints. The…

Theoretical Economics · Economics 2026-04-07 Ori Livson , Mikhail Prokopenko

This paper studies the housing market problem introduced by Shapley and Scarf (1974). We probe the Machiavellian frontier of the well-known top trading cycles (TTC) rule by weakening strategy-proofness and providing new characterizations…

Theoretical Economics · Economics 2024-04-10 Yajing Chen , Zhenhua Jiao , Chenfeng Zhang , Luosai Zhang

Many high-stakes decisions in health care, public policy, and clinical development require committing to a single policy that will be applied uniformly across a heterogeneous population. Regulatory and fairness standards sometime requires…

Machine Learning · Computer Science 2026-05-12 Tingyu Zhu , Yuhang Wu , Zeyu Zheng

In a strategy-proof mechanism, the influence of an agent may be measured as the set of outcomes an agent can bring about by varying her (reported) type. More specifically, we refer to an agent's influence on her own relevant outcomes as her…

Theoretical Economics · Economics 2025-12-12 Christian Basteck , Ulysse Lojkine

In party-approval multiwinner elections the goal is to allocate the seats of a fixed-size committee to parties based on the approval ballots of the voters over the parties. In particular, each voter can approve multiple parties and each…

Computer Science and Game Theory · Computer Science 2022-11-28 Théo Delemazure , Tom Demeulemeester , Manuel Eberl , Jonas Israel , Patrick Lederer

Social networks often provide only a binary perspective on social ties: two individuals are either connected or not. While sometimes external information can be used to infer the strength of social ties, access to such information may be…

Social and Information Networks · Computer Science 2021-11-08 Florian Adriaens , Tijl De Bie , Aristides Gionis , Jefrey Lijffijt , Polina Rozenshtein

We consider the allocation of indivisible objects when agents have preferences over their own allocations, but share the ownership of the resources to be distributed. Examples might include seats in public schools, faculty offices, and time…

Theoretical Economics · Economics 2021-09-07 Mustafa Oğuz Afacan , Inácio Bó

Top trading cycles with fixed tie-breaking (TTC) has been suggested to deal with indifferences in object allocation problems. Unfortunately, under general indifferences, TTC is neither Pareto efficient nor group strategy-proof. Furthermore,…

Theoretical Economics · Economics 2026-02-03 Will Sandholtz , Andrew Tai

We study private-good allocation under general constraints. Several prominent examples are special cases, including house allocation, roommate matching, social choice, and multiple assignment. Every individually strategy-proof and Pareto…

Theoretical Economics · Economics 2025-11-04 Joseph Root , David S. Ahn

Prediction markets are widely treated as forecasting devices that reveal collective expectations about uncertain futures. This article argues that under specifiable conditions they also function as coordination mechanisms: public…

General Economics · Economics 2026-04-29 Maksym Nechepurenko

Agents vote to choose a fair mixture of public outcomes; each agent likes or dislikes each outcome. We discuss three outstanding voting rules. The Conditional Utilitarian rule, a variant of the random dictator, is Strategyproof and…

Computer Science and Game Theory · Computer Science 2017-12-08 Haris Aziz , Anna Bogomolnaia , Herve Moulin

Two distinct specifications of single peakedness as currently met in the relevant literature are singled out and discussed. Then, it is shown that, under both of those specifications, a voting rule as defined on a bounded distributive…

Economics · Quantitative Finance 2014-06-20 Ernesto Savaglio , Stefano Vannucci

We investigate the possibility of an incentive-compatible (IC, a.k.a. strategy-proof) mechanism for the classification of agents in a network according to their reviews of each other. In the $ \alpha $-classification problem we are…

Computer Science and Game Theory · Computer Science 2019-11-21 Yakov Babichenko , Oren Dean , Moshe Tennenholtz

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

Choice functions constitute a simple, direct and very general mathematical framework for modelling choice under uncertainty. In particular, they are able to represent the set-valued choices that typically arise from applying decision rules…

Artificial Intelligence · Computer Science 2018-06-05 Jasper De Bock , Gert de Cooman

We provide novel simple representations of strategy-proof voting rules when voters have uni-dimensional single-peaked preferences (as well as multi-dimensional separable preferences). The analysis recovers, links and unifies existing…

Computer Science and Game Theory · Computer Science 2022-06-17 Andrew Jennings , Rida Laraki , Clemens Puppe , Estelle Varloot

Stochastic control barrier functions (SCBFs) provide a safety-critical control framework for systems subject to stochastic disturbances by bounding the probability of remaining within a safe set. However, synthesizing a valid SCBF that…

Systems and Control · Electrical Eng. & Systems 2026-03-23 Inkyu Jang , Chams E. Mballo , Claire J. Tomlin , H. Jin Kim

In social choice settings with linear preferences, random dictatorship is known to be the only social decision scheme satisfying strategyproofness and ex post efficiency. When also allowing indifferences, random serial dictatorship (RSD) is…

Computer Science and Game Theory · Computer Science 2015-02-06 Haris Aziz , Felix Brandt , Markus Brill