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With the introduction of the graph-theoretic time-inconsistent planning model due to Kleinberg and Oren, it has been possible to investigate the computational complexity of how a task designer best can support a present-biased agent in…

Computational Complexity · Computer Science 2019-11-19 Fedor V. Fomin , Torstein J. F. Strømme

Time-inconsistency refers to a paradox in decision making where agents exhibit inconsistent behaviors over time. Examples are procrastination where agents tends to costly postpone easy tasks, and abandonments where agents start a plan and…

Computer Science and Game Theory · Computer Science 2015-04-03 Pingzhong Tang , Yifeng Teng , Zihe Wang , Shenke Xiao , Yichong Xu

In many settings, people exhibit behavior that is inconsistent across time --- we allocate a block of time to get work done and then procrastinate, or put effort into a project and then later fail to complete it. An active line of research…

Computer Science and Game Theory · Computer Science 2014-05-07 Jon Kleinberg , Sigal Oren

Time-inconsistent behavior, such as procrastination or abandonment of long-term goals, arises when agents evaluate immediate outcomes disproportionately higher than future ones. This leads to globally suboptimal behavior, where plans are…

Computer Science and Game Theory · Computer Science 2026-01-13 Tatiana Belova , Yuriy Dementiev , Artur Ignatiev , Danil Sagunov

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

People tend to behave inconsistently over time due to an inherent present bias. As this may impair performance, social and economic settings need to be adapted accordingly. Common tools to reduce the impact of time-inconsistent behavior are…

Data Structures and Algorithms · Computer Science 2017-02-07 Susanne Albers , Dennis Kraft

This work introduces an end-to-end graph-based agent for accelerating the computational efficiency of Benders Decomposition. The agent's policy is parameterized by a graph neural network which takes as input a bipartite graph representation…

Optimization and Control · Mathematics 2025-11-18 Bernard T. Agyeman , Zhe Li , Ilias Mitrai , Prodromos Daoutidis

The aim of path planning is to reach the goal from starting point by searching for the route of an agent. In the path planning, the routes may vary depending on the number of variables such that it is important for the agent to reach…

Artificial Intelligence · Computer Science 2022-05-23 GyeongTaek Lee

We study the problem of designing an optimal sequence of incentives that a principal should offer to an agent so that the agent's optimal behavior under the incentives realizes the principal's objective expressed as a temporal logic…

Optimization and Control · Mathematics 2019-03-20 Yagiz Savas , Vijay Gupta , Melkior Ornik , Lillian J. Ratliff , Ufuk Topcu

Given a connected graph on whose edges we can build roads to connect the nodes, a number of agents hold possibly different perspectives on which edges should be selected by assigning different edge weights. Our task is to build a minimum…

Computer Science and Game Theory · Computer Science 2022-12-02 Bo Li , Xiaowei Wu , Chenyang Xu , Ruilong Zhang

We humans can impeccably search for a target object, given its name only, even in an unseen environment. We argue that this ability is largely due to three main reasons: the incorporation of prior knowledge (or experience), the adaptation…

Computer Vision and Pattern Recognition · Computer Science 2020-12-08 Mahdi Kazemi Moghaddam , Qi Wu , Ehsan Abbasnejad , Javen Qinfeng Shi

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

This paper studies a class of distributed optimization algorithms by a set of agents, where each agent has only access to its own local convex objective function, and jointly minimizes the sum of the functions. The communications among…

Optimization and Control · Mathematics 2016-11-11 Qingguo Lü , Huaqing Li

In the restricted shortest paths problem, we are given a graph $G$ whose edges are assigned two non-negative weights: lengths and delays, a source $s$, and a delay threshold $D$. The goal is to find, for each target $t$, the length of the…

Data Structures and Algorithms · Computer Science 2024-10-23 Vikrant Ashvinkumar , Aaron Bernstein , Adam Karczmarz

Combinatorial optimization algorithms for graph problems are usually designed afresh for each new problem with careful attention by an expert to the problem structure. In this work, we develop a new framework to solve any combinatorial…

We consider k mobile agents initially located at distinct nodes of an undirected graph (on n nodes, with edge lengths) that have to deliver a single item from a given source node s to a given target node t. The agents can move along the…

Data Structures and Algorithms · Computer Science 2018-09-05 Andreas Bärtschi , Daniel Graf , Matus Mihalak

We study a fair division problem in (multi)graphs where $n$ agents (vertices) are pairwise connected by items (edges), and each agent is only interested in its incident items. We consider how to allocate items to incident agents in an…

Computer Science and Game Theory · Computer Science 2025-02-20 Bo Li , Ankang Sun , Mashbat Suzuki , Shiji Xing

We consider a scenario in which leaders are required to recruit teams of followers. Each leader cannot recruit all followers, but interaction is constrained according to a bipartite network. The objective for each leader is to reach a state…

Multiagent Systems · Computer Science 2012-12-11 Lorenzo Coviello , Massimo Franceschetti

Many goal-reaching reinforcement learning (RL) tasks have empirically verified that rewarding the agent on subgoals improves convergence speed and practical performance. We attempt to provide a theoretical framework to quantify the…

Artificial Intelligence · Computer Science 2022-03-15 Yuexiang Zhai , Christina Baek , Zhengyuan Zhou , Jiantao Jiao , Yi Ma

In this work, we consider the problem of minimising the social cost in atomic congestion games. For this problem, we provide tight computational lower bounds along with taxation mechanisms yielding polynomial time algorithms with optimal…

Computer Science and Game Theory · Computer Science 2022-05-23 Dario Paccagnan , Martin Gairing
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