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In fair division of indivisible goods, using sequences of sincere choices (or picking sequences) is a natural way to allocate the objects. The idea is as follows: at each stage, a designated agent picks one object among those that remain.…

Artificial Intelligence · Computer Science 2018-08-01 Aurélie Beynier , Sylvain Bouveret , Michel Lemaître , Nicolas Maudet , Simon Rey

Suppose that a set of $m$ tasks are to be shared as equally as possible amongst a set of $n$ resources. A game-theoretic mechanism to find a suitable allocation is to associate each task with a ``selfish agent'', and require each agent to…

Computer Science and Game Theory · Computer Science 2007-05-23 Petra Berenbrink , Tom Friedetzky , Leslie Ann Goldberg , Paul Goldberg , Zengjian Hu , Russell Martin

The analysis of markets with indivisible goods and fixed exogenous prices has played an important role in economic models, especially in relation to wage rigidity and unemployment. This research report provides a mathematical and…

General Finance · Quantitative Finance 2015-08-11 Stefano Nasini , Jordi Castro , Pau Fonseca i Casas

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

New fairness notions aligned with the merit principle are proposed for designing exchange rules. We show that for an obviously strategy-proof, efficient and individually rational rule, (i) an agent receives her favorite object when others…

Theoretical Economics · Economics 2025-10-29 Peng Liu , Huaxia Zeng

We study a setting where tickets for an experience are allocated by lottery. Each agent belongs to a group, and a group is successful if and only if its members receive enough tickets for everyone. A lottery is efficient if it maximizes the…

Computer Science and Game Theory · Computer Science 2022-05-24 Nick Arnosti , Carlos Bonet

We study the problem of computing maximin share guarantees, a recently introduced fairness notion. Given a set of $n$ agents and a set of goods, the maximin share of a single agent is the best that she can guarantee to herself, if she would…

Computer Science and Game Theory · Computer Science 2018-06-12 Georgios Amanatidis , Evangelos Markakis , Afshin Nikzad , Amin Saberi

Bipartite matching, where agents on one side of a market are matched to agents or items on the other, is a classical problem in computer science and economics, with widespread application in healthcare, education, advertising, and general…

Data Structures and Algorithms · Computer Science 2017-08-17 Faez Ahmed , John P. Dickerson , Mark Fuge

A group of agents each exert effort to produce a joint output, with the complementarities between their efforts represented by a (weighted) network. Under equity compensation, a principal motivates the agents to work by giving them shares…

Theoretical Economics · Economics 2023-08-29 Krishna Dasaratha , Benjamin Golub , Anant Shah

We propose a set of conservative models in which agents exchange wealth with a preference in the choice of interacting agents in different ways. The common feature in all the models is that the temporary values of financial status of agents…

Physics and Society · Physics 2015-06-22 Sanchari Goswami , Parongama Sen

A kidney exchange is an organized barter market where patients in need of a kidney swap willing but incompatible donors. Determining an optimal set of exchanges is theoretically and empirically hard. Traditionally, exchanges took place in…

Data Structures and Algorithms · Computer Science 2016-06-14 John P. Dickerson , David F. Manlove , Benjamin Plaut , Tuomas Sandholm , James Trimble

Auctions are widely used in exchanges to match buy and sell requests. Once the buyers and sellers place their requests, the exchange determines how these requests are to be matched. The two most popular objectives used while determining the…

Data Structures and Algorithms · Computer Science 2024-03-06 Mohit Garg , Suneel Sarswat

New services based on the best-effort paradigm could complement the current deterministic services of an electronic financial exchange. Four crucial aspects of such systems would benefit from a hybrid stance: proper use of processing…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 David Lyback , Magnus Boman

Fairly allocating indivisible goods is a frequently occurring task in everyday life. Given an initial allocation of the goods, we consider the problem of reforming it via a sequence of exchanges to attain fairness in the form of…

Computer Science and Game Theory · Computer Science 2024-12-30 Sheung Man Yuen , Ayumi Igarashi , Naoyuki Kamiyama , Warut Suksompong

In the standard Mechanism Design framework, agents' messages are gathered at a central point and allocation/tax functions are calculated in a centralized manner, i.e., as functions of all network agents' messages. This requirement may cause…

Computer Science and Game Theory · Computer Science 2019-10-10 Nasimeh Heydaribeni , Achilleas Anastasopoulos

The host of a game presents two indistinguishable envelopes to an agent. One of the envelopes is randomly selected and allocated to the agent. The agent is informed that the monetary content of one of the envelopes is twice that of the…

Other Statistics · Statistics 2015-06-16 Jeffrey Brian Tyler

Consider a matching problem on a graph where disjoint sets of vertices are privately owned by self-interested agents. An edge between a pair of vertices indicates compatibility and allows the vertices to match. We seek a mechanism to…

Computer Science and Game Theory · Computer Science 2016-11-25 Itai Ashlagi , Felix Fischer , Ian A. Kash , Ariel D. Procaccia

Allocating scarce resources among agents to maximize global utility is, in general, computationally challenging. We focus on problems where resources enable agents to execute actions in stochastic environments, modeled as Markov decision…

Multiagent Systems · Computer Science 2011-10-13 D. A. Dolgov , E. H. Durfee

We propose a new model for aggregating preferences over a set of indivisible items based on a quantile value. In this model, each agent is endowed with a specific quantile, and the value of a given bundle is defined by the corresponding…

Computer Science and Game Theory · Computer Science 2026-05-06 Haris Aziz , Shivika Narang , Mashbat Suzuki

We consider a multi-agent optimal resource sharing problem that is represented by a linear program. The amount of resource to be shared is fixed, and agents belong to a population that is characterized probabilistically so as to allow…

Optimization and Control · Mathematics 2021-09-29 Alessandro Falsone , Kostas Margellos , Jacopo Zizzo , Maria Prandini , Simone Garatti