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Chance constraints are frequently used to limit the probability of constraint violations in real-world optimization problems where the constraints involve stochastic components. We study chance-constrained submodular optimization problems,…

Optimization and Control · Mathematics 2023-09-27 Xiankun Yan , Anh Viet Do , Feng Shi , Xiaoyu Qin , Frank Neumann

Multiwinner voting rules can be used to select a fixed-size committee from a larger set of candidates. We consider approval-based committee rules, which allow voters to approve or disapprove candidates. In this setting, several voting rules…

Computer Science and Game Theory · Computer Science 2024-11-05 Dominik Peters

In multiagent settings where the agents have different preferences, preference aggregation is a central issue. Voting is a general method for preference aggregation, but seminal results have shown that all general voting protocols are…

Computer Science and Game Theory · Computer Science 2009-09-29 Vincent Conitzer , Tuomas Sandholm

Mathematical optimization, although often leading to NP-hard models, is now capable of solving even large-scale instances within reasonable time. However, the primary focus is often placed solely on optimality. This implies that while…

Optimization and Control · Mathematics 2025-12-23 Kevin-Martin Aigner , Marc Goerigk , Michael Hartisch , Frauke Liers , Arthur Miehlich , Florian Rösel

We consider an agent community wishing to decide on several binary issues by means of issue-by-issue majority voting. For each issue and each agent, one of the two options is better than the other. However, some of the agents may be…

Computer Science and Game Theory · Computer Science 2022-07-12 Shiri Alouf-Heffetz , Laurent Bulteau , Edith Elkind , Nimrod Talmon , Nicholas Teh

We study fair allocation of constrained resources, where a market designer optimizes overall welfare while maintaining group fairness. In many large-scale settings, utilities are not known in advance, but are instead observed after…

Computer Science and Game Theory · Computer Science 2024-11-06 Elita Lobo , Justin Payan , Cyrus Cousins , Yair Zick

Decision making under uncertainty is a key component of many AI settings, and in particular of voting scenarios where strategic agents are trying to reach a joint decision. The common approach to handle uncertainty is by maximizing expected…

Computer Science and Game Theory · Computer Science 2018-11-15 Omer Lev , Reshef Meir , Svetlana Obraztsova , Maria Polukarov

In this paper, we focus on how to dynamically allocate a divisible resource fairly among n players who arrive and depart over time. The players may have general heterogeneous valuations over the resource. It is known that the exact…

Computer Science and Game Theory · Computer Science 2018-04-19 Bo Li , Wenyang Li , Yingkai Li

Allocating indivisible items among a set of agents is a frequently studied discrete optimization problem. In the setting considered in this work, the agents' preferences over the items are assumed to be identical. We consider a very recent…

Computer Science and Game Theory · Computer Science 2025-09-08 Nina Chiarelli , Clément Dallard , Andreas Darmann , Stefan Lendl , Martin Milanič , Peter Muršič , Ulrich Pferschy

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

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 appear in imprecise-probabilistic decision…

Artificial Intelligence · Computer Science 2019-05-22 Jasper De Bock , Gert de Cooman

We develop a simple framework to analyze how targeted persuasive advertising shapes market power and welfare. A designer flexibly manipulates the demand curve by influencing individual valuations at a cost. A monopolist prices against this…

Theoretical Economics · Economics 2025-06-04 Yifan Dai , Andrew Koh

We study the implementation of fixed priority top trading cycles (FPTTC) rules via simply dominant mechanisms (Pycia and Troyan, 2019) in the context of assignment problems, where agents are to be assigned at most one indivisible object and…

Theoretical Economics · Economics 2023-02-08 Pinaki Mandal

We study the learning problem of revealed preference in a stochastic setting: a learner observes the utility-maximizing actions of a set of agents whose utility follows some unknown distribution, and the learner aims to infer the…

Optimization and Control · Mathematics 2022-06-06 John R. Birge , Xiaocheng Li , Chunlin Sun

In this paper we introduce a novel family of decision lists consisting of highly interpretable models which can be learned efficiently in a greedy manner. The defining property is that all rules are oriented in the same direction.…

Machine Learning · Statistics 2016-01-12 Marc Goessling , Shan Kang

We propose a framework for strategic voting when a voter may lack knowledge about the preferences of other voters, or about other voters' knowledge about her own preference. In this setting we define notions of manipulation, equilibrium,…

Computer Science and Game Theory · Computer Science 2021-11-30 Zeinab Bakhtiari , Hans van Ditmarsch , Abdallah Saffidine

This paper focuses on optimizing probabilities of events of interest defined over general controlled discrete-time Markov processes. It is shown that the optimization over a wide class of $\omega$-regular properties can be reduced to the…

Probability · Mathematics 2014-07-22 Ilya Tkachev , Alexandru Mereacre , Joost-Pieter Katoen , Alessandro Abate

We study arbitrage opportunities, market viability and utility maximization in market models with an insider. Assuming that an economic agent possesses from the beginning an additional information in the form of a random variable G, which…

Risk Management · Quantitative Finance 2016-10-03 Ngoc Huy Chau , Wolfgang Runggaldier , Peter Tankov

We develop a general framework for incorporating distributional preferences in market design. We identify the structural properties of these preferences that guarantee the path independence of choice rules. In decentralized settings, a…

Theoretical Economics · Economics 2026-02-10 Federico Echenique , Teddy Mekonnen , M. Bumin Yenmez

We present a method for using standard techniques from satisfiability checking to automatically verify and discover theorems in an area of economic theory known as ranking sets of objects. The key question in this area, which has important…

Artificial Intelligence · Computer Science 2014-01-17 Christian Geist , Ulle Endriss