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The probabilistic serial (PS) rule is one of the most prominent randomized rules for the assignment problem. It is well-known for its superior fairness and welfare properties. However, PS is not immune to manipulative behaviour by the…

Computer Science and Game Theory · Computer Science 2015-01-28 Haris Aziz , Serge Gaspers , Simon Mackenzie , Nicholas Mattei , Nina Narodytska , Toby Walsh

The probabilistic serial (PS) rule is one of the most prominent randomized rules for the assignment problem. It is well-known for its superior fairness and welfare properties. However, PS is not immune to manipulative behaviour by the…

Computer Science and Game Theory · Computer Science 2014-01-28 Haris Aziz , Serge Gaspers , Nick Mattei , Nina Narodytska , Toby Walsh

Consider the problem of assigning indivisible objects to agents with strict ordinal preferences over objects, where each agent is interested in consuming at most one object, and objects have integer minimum and maximum quotas. We define an…

Theoretical Economics · Economics 2020-12-22 Marek Bojko

We study the problem of assigning objects to agents in the presence of arbitrary linear constraints when agents are allowed to be indifferent between objects. Our main contribution is the generalization of the (Extended) Probabilistic…

Theoretical Economics · Economics 2020-11-03 Priyanka Shende

For assignment problems where agents, specifying ordinal preferences, are allocated indivisible objects, two widely studied randomized mechanisms are the Random Serial Dictatorship (RSD) and Probabilistic Serial Rule (PS). These two…

Computer Science and Game Theory · Computer Science 2015-03-06 Hadi Hosseini , Kate Larson , Robin Cohen

One-sided matching mechanisms are fundamental for assigning a set of indivisible objects to a set of self-interested agents when monetary transfers are not allowed. Two widely-studied randomized mechanisms in multiagent settings are the…

Computer Science and Game Theory · Computer Science 2017-03-02 Hadi Hosseini , Kate Larson , Robin Cohen

In practice, most mechanisms for selling, buying, matching, voting, and so on are not incentive compatible. We present techniques for estimating how far a mechanism is from incentive compatible. Given samples from the agents' type…

Computer Science and Game Theory · Computer Science 2023-12-12 Maria-Florina Balcan , Tuomas Sandholm , Ellen Vitercik

We study the truthful facility assignment problem, where a set of agents with private most-preferred points on a metric space are assigned to facilities that lie on the metric space, under capacity constraints on the facilities. The goal is…

Computer Science and Game Theory · Computer Science 2016-10-06 Ioannis Caragiannis , Aris Filos-Ratsikas , Soren Kristoffer Stiil Frederiksen , Kristoffer Arnsfelt Hansen , Zihan Tan

We study how to optimally design selection mechanisms, accounting for agents' investment incentives. A principal wishes to allocate a resource of homogeneous quality to a heterogeneous population of agents. The principal commits to a…

Theoretical Economics · Economics 2025-11-11 Victor Augias , Eduardo Perez-Richet

In this paper, we consider a general distributed system with multiple agents who select and then implement actions in the system. The system has an operator with a centralized objective. The agents, on the other hand, are selfinterested and…

Computer Science and Game Theory · Computer Science 2020-01-15 Donya Ghavidel , Pratyush Chakraborty , Enrique Baeyens , Vijay Gupta , Pramod P. Khargonekar

A fundamental resource allocation setting is the random assignment problem in which agents express preferences over objects that are then randomly allocated to the agents. In 2001, Bogomolnaia and Moulin presented the probabilistic serial…

Computer Science and Game Theory · Computer Science 2016-04-27 Haris Aziz , Pang Luo , Christine Rizkallah

Auctions in which agents' payoffs are random variables have received increased attention in recent years. In particular, recent work in algorithmic mechanism design has produced mechanisms employing internal randomization, partly in…

Computer Science and Game Theory · Computer Science 2012-06-15 Shaddin Dughmi , Yuval Peres

When allocating indivisible items to agents, it is known that the only strategyproof mechanisms that satisfy a set of rather mild conditions are constrained serial dictatorships: given a fixed order over agents, at each step the designated…

Computer Science and Game Theory · Computer Science 2025-02-28 Sylvain Bouveret , Hugo Gilbert , Jérôme Lang , Guillaume Méroué

In this work we investigate the inefficiency of the electricity system with strategic agents. Specifically, we prove that without a proper control the total demand of an inefficient system is at most twice the total demand of the optimal…

Computer Science and Game Theory · Computer Science 2015-09-10 Carlos Barreto , Eduardo Mojica-Nava , Nicanor Quijano

We present partial strategyproofness, a new, relaxed notion of strategyproofness for studying the incentive properties of non-strategyproof assignment mechanisms. Informally, a mechanism is partially strategyproof if it makes truthful…

Computer Science and Game Theory · Computer Science 2020-08-04 Timo Mennle , Sven Seuken

Sequential allocation is a simple and widely studied mechanism to allocate indivisible items in turns to agents according to a pre-specified picking sequence of agents. At each turn, the current agent in the picking sequence picks its most…

Data Structures and Algorithms · Computer Science 2019-09-17 Mingyu Xiao , Jiaxing Ling

We investigate the power of randomness in the context of a fundamental Bayesian optimal mechanism design problem--a single seller aims to maximize expected revenue by allocating multiple kinds of resources to "unit-demand" agents with…

Computer Science and Game Theory · Computer Science 2010-02-24 Shuchi Chawla , David Malec , Balasubramanian Sivan

We study the assignment problem of objects to agents with heterogeneous preferences under distributional constraints. Each agent is associated with a publicly known type and has a private ordinal ranking over objects. We are interested in…

Data Structures and Algorithms · Computer Science 2019-05-02 Itai Ashlagi , Amin Saberi , Ali Shameli

Selecting the most influential agent in a network has huge practical value in applications. However, in many scenarios, the graph structure can only be known from agents' reports on their connections. In a self-interested setting, agents…

Computer Science and Game Theory · Computer Science 2021-07-23 Xiuzhen Zhang , Yao Zhang , Dengji Zhao

A tournament on $n$ agents is a complete oriented graph with the agents as vertices and edges that describe the win-loss outcomes of the $\binom{n}{2}$ matches played between each pair of agents. The winner of a tournament is determined by…

Computer Science and Game Theory · Computer Science 2024-08-21 David Pennock , Ariel Schvartzman , Eric Xue
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