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It is often beneficial for agents to pool their resources in order to better accommodate fluctuations in individual demand. Many multi-round resource allocation mechanisms operate in an online manner: in each round, the agents specify their…

Computer Science and Game Theory · Computer Science 2022-08-02 Fu Li , C. Gregory Plaxton , Vaibhav B. Sinha

We study a problem where a group of agents has to decide how a joint reward should be shared among them. We focus on settings where the share that each agent receives depends on the subjective opinions of its peers concerning that agent's…

Computer Science and Game Theory · Computer Science 2013-05-23 Arthur Carvalho , Kate Larson

We consider a simple sequential allocation procedure for sharing indivisible items between agents in which agents take turns to pick items. Supposing additive utilities and independence between the agents, we show that the expected utility…

Artificial Intelligence · Computer Science 2013-04-24 Thomas Kalinowski , Nina Nardoytska , Toby Walsh

Welfare economics relies on access to agents' utility functions: we revisit classical questions in welfare economics, assuming access to data on agents' past choices instead of their utilities. Our main result considers the existence of…

Theoretical Economics · Economics 2024-06-26 Christopher P Chambers , Federico Echenique

Budget aggregation deals with the social choice problem of distributing an exogenously given budget among a set of public projects, given agents' preferences. Taking a game-theoretic perspective, we study budget-aggregation games where each…

Computer Science and Game Theory · Computer Science 2026-02-25 Patrick Becker , Alexander Fries , Matthias Greger , Erel Segal-Halevi

We consider a control problem involving several agents coupled through multiple unit-demand resources. Such resources are indivisible, and each agent's consumption is modeled as a Bernoulli random variable. Controlling the number of such…

Systems and Control · Computer Science 2019-04-30 Syed Eqbal Alam , Robert Shorten , Fabian Wirth , Jia Yuan Yu

As artificial agents become increasingly capable, what internal structure is *necessary* for an agent to act competently under uncertainty? Classical results show that optimal control can be *implemented* using belief states or world…

Machine Learning · Computer Science 2026-04-03 Aran Nayebi

The influence of additional information on the decision making of agents, who are interacting members of a society, is analyzed within the mathematical framework based on the use of quantum probabilities. The introduction of social…

Physics and Society · Physics 2015-10-12 V. I. Yukalov , D. Sornette

The effectiveness of collective decision-making is often challenged by the bounded rationality and inherent stochasticity of individual agents. We investigate this by analyzing how to aggregate decisions from n experts, each receiving a…

Computer Science and Game Theory · Computer Science 2026-03-17 Zhihuan Huang , Yichong Xia , Yuqing Kong

We study a two-alternative voting game where voters' preferences depend on an unobservable world state and each voter receives a private signal correlated to the true world state. We consider the collective decision when voters can…

Computer Science and Game Theory · Computer Science 2024-10-11 Xiaotie Deng , Biaoshuai Tao , Ying Wang

We model the joint distribution of choice probabilities and decision times in binary choice tasks as the solution to a problem of optimal sequential sampling, where the agent is uncertain of the utility of each action and pays a constant…

Neurons and Cognition · Quantitative Biology 2015-05-14 Drew Fudenberg , Philipp Strack , Tomasz Strzalecki

We study a general task allocation problem, involving multiple agents that collaboratively accomplish tasks and where agents may fail to successfully complete the tasks assigned to them (known as execution uncertainty). The goal is to…

Artificial Intelligence · Computer Science 2015-09-18 Dengji Zhao , Sarvapali D. Ramchurn , Nicholas R. Jennings

Collective, especially group-based, managerial decision making is crucial in organizations. Using an evolutionary theoretic approach to collective decision making, agent-based simulations were conducted to investigate how human collective…

Multiagent Systems · Computer Science 2019-02-20 Shelley D. Dionne , Hiroki Sayama , Francis J. Yammarino

We consider the problem of fair allocation of $m$ indivisible items to a group of $n$ agents with subsidy (money). Our work mainly focuses on the allocation of chores but most of our results extend to the allocation of goods as well. We…

Computer Science and Game Theory · Computer Science 2023-07-11 Xiaowei Wu , Cong Zhang , Shengwei Zhou

We consider repeated allocation of a shared resource via a non-monetary mechanism, wherein a single item must be allocated to one of multiple agents in each round. We assume that each agent has i.i.d. values for the item across rounds, and…

Computer Science and Game Theory · Computer Science 2025-11-07 David X. Lin , Siddhartha Banerjee , Giannis Fikioris , Éva Tardos

This work describes a collective decision-making dynamical process in a multiagent system under the assumption of cooperative higher-order interactions within the community, modeled as a hypernetwork. The nonlinear interconnected system is…

Optimization and Control · Mathematics 2025-09-08 Angela Fontan , Silun Zhang

We consider the problem of fairly and efficiently allocating indivisible items (goods or bads) under capacity constraints. In this setting, we are given a set of categorized items. Each category has a capacity constraint (the same for all…

Computer Science and Game Theory · Computer Science 2023-03-01 Hila Shoshan , Erel Segal-Halevi , Noam Hazon

We introduce and discuss kinetic models describing the influence of the competence in the evolution of decisions in a multi-agent system. The original exchange mechanism, which is based on the human tendency to compromise and change opinion…

Physics and Society · Physics 2016-11-23 Lorenzo Pareschi , Pierluigi Vellucci , Mattia Zanella

We study the voting game where agents' preferences are endogenously decided by the information they receive, and they can collaborate in a group. We show that strategic voting behaviors have a positive impact on leading to the ``correct''…

Computer Science and Game Theory · Computer Science 2023-05-23 Qishen Han , Grant Schoenebeck , Biaoshuai Tao , Lirong Xia

Theoretical results underpinning the Wisdom of Crowds, such as the Condorcet Jury Theorem, point to substantial accuracy gains through aggregation of decisions or opinions, but the foundations of this theorem are routinely undermined in…

Optimization and Control · Mathematics 2025-10-28 Richard P Mann