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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

We develop multiattribute auctions that accommodate generalized additive independent (GAI) preferences. We propose an iterative auction mechanism that maintains prices on potentially overlapping GAI clusters of attributes, thus decreases…

Computer Science and Game Theory · Computer Science 2014-01-17 Yagil Engel , Michael P. Wellman

Revenue-optimal auction design is a challenging problem with significant theoretical and practical implications. Sequential auction mechanisms, known for their simplicity and strong strategyproofness guarantees, are often limited by…

Computer Science and Game Theory · Computer Science 2024-07-12 Sai Srivatsa Ravindranath , Zhe Feng , Di Wang , Manzil Zaheer , Aranyak Mehta , David C. Parkes

We consider the mechanism design problem of a principal allocating a single good to one of several agents without monetary transfers. Each agent desires the good and uses it to create value for the principal. We designate this value as the…

Theoretical Economics · Economics 2024-06-26 Halil İbrahim Bayrak , Çağıl Koçyiğit , Daniel Kuhn , Mustafa Çelebi Pınar

This paper proposes a simple descriptive model of discrete-time double auction markets for divisible assets. As in the classical models of exchange economies, we consider a finite set of agents described by their initial endowments and…

Theoretical Economics · Economics 2021-01-07 Teemu Pennanen

We study a problem of optimal allocation in a discrete-time multi-period pure-exchange economy, where agents have preferences over stochastic endowment processes that are represented by strongly time-consistent dynamic risk measures. We…

Risk Management · Quantitative Finance 2026-03-23 Brandon Tam , Mario Ghossoub , Silvana M. Pesenti

We study mechanism design when agents may have hidden secondary goals which will manifest as non-trivial preferences among outcomes for which their primary utility is the same. We show that in such cases, a mechanism is robust against…

Computer Science and Game Theory · Computer Science 2023-07-25 Renato Paes Leme , Jon Schneider , Hanrui Zhang

Ensuring efficiency and envy-freeness in allocating indivisible goods without money often requires randomization. However, existing combinatorial assignment mechanisms (for applications such as course allocation, food banks, and refugee…

Theoretical Economics · Economics 2025-10-03 Thành Nguyen , Alexander Teytelboym , Shai Vardi

We study multi-type housing markets, where there are $p\ge 2$ types of items, each agent is initially endowed one item of each type, and the goal is to design mechanisms without monetary transfer to (re)allocate items to the agents based on…

Computer Science and Game Theory · Computer Science 2016-11-24 Sibel Adali , Sujoy Sikdar , Lirong Xia

Traditional combinatorial spectrum auctions mainly rely on fixed bidding and matching processes, which limit participants' ability to adapt their strategies and often result in suboptimal social welfare in dynamic spectrum sharing…

Computer Science and Game Theory · Computer Science 2025-07-29 Xiang Shao , Wei Wang , Guan Gui

Selecting a set of alternatives based on the preferences of agents is an important problem in committee selection and beyond. Among the various criteria put forth for the desirability of a committee, Pareto optimality is a minimal and…

Computer Science and Game Theory · Computer Science 2018-03-20 Haris Aziz , Jerome Lang , Jerome Monnot

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 the problem of allocating $m$ indivisible items to $n$ agents with additive utilities. It is desirable for the allocation to be both fair and efficient, which we formalize through the notions of envy-freeness and Pareto-optimality.…

Computer Science and Game Theory · Computer Science 2024-05-08 Yushi Bai , Paul Gölz

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

We study the combinatorial assignment domain, which includes combinatorial auctions and course allocation. The main challenge in this domain is that the bundle space grows exponentially in the number of items. To address this, several…

Machine Learning · Computer Science 2023-03-14 Jakob Weissteiner , Jakob Heiss , Julien Siems , Sven Seuken

We study the problem of fairly allocating indivisible goods and chores under category constraints. Specifically, there are $n$ agents and $m$ indivisible items which are partitioned into categories with associated capacities. An allocation…

Computer Science and Game Theory · Computer Science 2026-04-21 Ayumi Igarashi , Frédéric Meunier

Combinatorial auctions (CAs) allow bidders to express complex preferences for bundles of goods being auctioned. However, the behavior of bidders under different payment rules is often unclear. In this paper, we aim to understand how core…

Computer Science and Game Theory · Computer Science 2022-04-28 Robin Fritsch , Younjoo Lee , Adrian Meier , Ye Wang , Roger Wattenhofer

In the private values single object auction model, we construct a satisfactory mechanism - a symmetric, dominant strategy incentive compatible, and budget-balanced mechanism. Our mechanism allocates the object to the highest valued agent…

Computer Science and Game Theory · Computer Science 2016-10-04 Debasis Mishra , Tridib Sharma

Diffusion auction design for combinatorial settings is a long-standing challenge. One difficulty is that we cannot directly extend the solutions for simpler settings to combinatorial settings (like extending the Vickrey auction to VCG in…

Computer Science and Game Theory · Computer Science 2024-10-31 Xuanyu Li , Miao Li , Yuhan Cao , Dengji Zhao

A major achievement of mechanism design theory is a general method for the construction of truthful mechanisms called VCG (Vickrey, Clarke, Groves). When applying this method to complex problems such as combinatorial auctions, a difficulty…

Computer Science and Game Theory · Computer Science 2011-10-04 N. Nisan , A. Ronen