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We study a simple exchange market, introduced by Gourv\'{e}s, Lesca and Wilczynski (IJCAI-17), where every agent initially holds a single object. The agents have preferences over the objects, and two agents may swap their objects if they…

Data Structures and Algorithms · Computer Science 2019-05-13 Matthias Bentert , Jiehua Chen , Vincent Froese , Gerhard J. Woeginger

We study dynamic matching in exchange markets with easy- and hard-to-match agents. A greedy policy, which attempts to match agents upon arrival, ignores the positive externality that waiting agents generate by facilitating future matchings.…

Theoretical Economics · Economics 2019-06-14 Itai Ashlagi , Afshin Nikzad , Philipp Strack

Facility location games have been a topic of major interest in economics, operations research and computer science, starting from the seminal work by Hotelling. Spatial facility location models have successfully predicted the outcome of…

Computer Science and Game Theory · Computer Science 2017-10-10 Omer Ben-Porat , Moshe Tennenholtz

We study the problem of mechanism design for allocating a set of indivisible items among agents with private preferences on items. We are interested in such a mechanism that is strategyproof (where agents' best strategy is to report their…

Computer Science and Game Theory · Computer Science 2024-08-05 Ankang Sun , Bo Chen

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

In barter exchanges, participants swap goods with one another without exchanging money; exchanges are often facilitated by a central clearinghouse, with the goal of maximizing the aggregate quality (or number) of swaps. Barter exchanges are…

Artificial Intelligence · Computer Science 2020-10-26 Duncan C McElfresh , Michael Curry , Tuomas Sandholm , John P Dickerson

We consider house allocation with existing tenants in which each agent has dichotomous preferences. We present strategyproof, polynomial-time, and (strongly) individually rational algorithms that satisfy the maximum number of agents. For…

Computer Science and Game Theory · Computer Science 2016-05-31 Haris Aziz

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

This paper considers the problem of offering a scarce object with a common unobserved quality to strategic agents in a priority queue. Each agent has a private signal over the quality of the object and observes the decisions made by other…

Computer Science and Game Theory · Computer Science 2024-05-01 Itai Ashlagi , Jamie Kang , Moran Koren , Faidra Monachou

Exchange of services and resources in, or over, networks is attracting nowadays renewed interest. However, despite the broad applicability and the extensive study of such models, e.g., in the context of P2P networks, many fundamental…

Computer Science and Game Theory · Computer Science 2015-04-09 Leonidas Georgiadis , George Iosifidis , Leandros Tassiulas

This paper examines the computational complexity of the \emph{Core Identification Problem} (CIP) in one-sided matching markets governed by the Top Trading Cycles (TTC) algorithm. The central contribution is a formal complexity separation:…

Computer Science and Game Theory · Computer Science 2026-04-30 Irene Aldridge

The seminal work of Roth, S\"onmez, & \"Unver shows that the Edmonds-Gallai structure theorem for non-bipartite matching can be leveraged to yield a randomized algorithm to match patient-donor pairs in kidney exchange with extraordinarily…

Data Structures and Algorithms · Computer Science 2026-05-20 Claire Chang , Arin Khare , David Shmoys

We consider a coalition formation setting where each agent belongs to one of the two types, and agents' preferences over coalitions are determined by the fraction of the agents of their own type in each coalition. This setting differs from…

Computer Science and Game Theory · Computer Science 2019-03-04 Robert Bredereck , Edith Elkind , Ayumi Igarashi

To overcome incompatibility issues, kidney patients may swap their donors. In international kidney exchange programmes (IKEPs), countries merge their national patient-donor pools. We consider a recently introduced credit system. In each…

Computer Science and Game Theory · Computer Science 2023-02-24 Márton Benedek , Péter Biró , Daniël Paulusma , Xin Ye

We consider the problem of payoff division in indivisible coalitional games, where the value of the grand coalition is a natural number. This number represents a certain quantity of indivisible objects, such as parliamentary seats, kidney…

Computer Science and Game Theory · Computer Science 2026-04-02 Mikołaj Czarnecki , Michał Korniak , Oskar Skibski , Piotr Skowron

Motivated by civic problems such as participatory budgeting and multiwinner elections, we consider the problem of public good allocation: Given a set of indivisible projects (or candidates) of different sizes, and voters with different…

Computer Science and Game Theory · Computer Science 2021-10-26 Kamesh Munagala , Yiheng Shen , Kangning Wang , Zhiyi Wang

The core is a central solution concept in cooperative game theory, defined as the set of feasible allocations or payments such that no subset of agents has incentive to break away and form their own subgroup or coalition. However, it has…

A principal screens an agent with an arbitrary set of allocations $X$. The agent's preferences over allocations are comonotonic. A subset of allocations $X^*\subseteq X$ is a surplus-elasticity frontier if (i) any other allocation has a…

Theoretical Economics · Economics 2026-02-24 Frank Yang

We study competitive equilibria in the classic Shapley-Shubik assignment model with indivisible goods and unit-demand buyers, with budget constraints: buyers can specify a maximum price they are willing to pay for each item, beyond which…

Computer Science and Game Theory · Computer Science 2010-04-19 Ning Chen , Xiaotie Deng , Arpita Ghosh

We investigate whether preferences for objects received via a matching mechanism are influenced by how highly agents rank them in their reported rank order list. We hypothesize that all else equal, agents receive greater utility for the…

General Economics · Economics 2024-08-30 Andrew Kloosterman , Peter Troyan
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