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We study online selection problems in both the prophet and secretary settings, when arriving agents have interdependent values. In the interdependent values model, introduced in the seminal work of Milgrom and Weber [1982], each agent has a…

Computer Science and Game Theory · Computer Science 2024-04-10 Simon Mauras , Divyarthi Mohan , Rebecca Reiffenhäuser

We consider an online multi-weighted generalization of several classic online optimization problems, called the online combinatorial assignment problem. We are given an independence system over a ground set of elements and agents that…

Data Structures and Algorithms · Computer Science 2023-11-03 Javier Marinkovic , José A. Soto , Victor Verdugo

In combinatorial auctions, a designer must decide how to allocate a set of indivisible items amongst a set of bidders. Each bidder has a valuation function which gives the utility they obtain from any subset of the items. Our focus is…

Computer Science and Game Theory · Computer Science 2017-03-31 Shaddin Dughmi , Bryan Wilder

In online combinatorial allocation, agents arrive sequentially and items are allocated in an online manner. The algorithm designer only knows the distribution of each agent's valuation, while the actual realization of the valuation is…

Data Structures and Algorithms · Computer Science 2025-10-14 Enze Sun , Zhihao Gavin Tang , Yifan Wang

We study combinatorial auctions with interdependent valuations. In such settings, each agent $i$ has a private signal $s_i$ that captures her private information, and the valuation function of every agent depends on the entire signal…

Computer Science and Game Theory · Computer Science 2019-06-04 Alon Eden , Michal Feldman , Amos Fiat , Kira Goldner , Anna R. Karlin

In online combinatorial allocations/auctions, n bidders sequentially arrive, each with a combinatorial valuation (such as submodular/XOS) over subsets of m indivisible items. The aim is to immediately allocate a subset of the remaining…

Computer Science and Game Theory · Computer Science 2024-09-18 Paul Dütting , Thomas Kesselheim , Brendan Lucier , Rebecca Reiffenhäuser , Sahil Singla

The secretary problem is a classic model for online decision making. Recently, combinatorial extensions such as matroid or matching secretary problems have become an important tool to study algorithmic problems in dynamic markets. Here the…

Data Structures and Algorithms · Computer Science 2017-08-28 Martin Hoefer , Bojana Kodric

We study the problem of allocating $T$ sequentially arriving items among $n$ homogeneous agents under the constraint that each agent must receive a pre-specified fraction of all items, with the objective of maximizing the agents' total…

Computer Science and Game Theory · Computer Science 2022-09-27 Steven Yin , Shipra Agrawal , Assaf Zeevi

We study secretary problems in settings with multiple agents. In the standard secretary problem, a sequence of arbitrary awards arrive online, in a random order, and a single decision maker makes an immediate and irrevocable decision…

Computer Science and Game Theory · Computer Science 2020-07-15 Tomer Ezra , Michal Feldman , Ron Kupfer

We study auction design in the celebrated interdependence model introduced by Milgrom and Weber [1982], where a mechanism designer allocates a good, maximizing the value of the agent who receives it, while inducing truthfulness using…

Computer Science and Game Theory · Computer Science 2026-03-20 Patrick Loiseau , Simon Mauras , Minrui Xu

Combinatorial contracts are emerging as a key paradigm in algorithmic contract design, paralleling the role of combinatorial auctions in algorithmic mechanism design. In this paper we study natural combinatorial contract settings involving…

Computer Science and Game Theory · Computer Science 2024-05-15 Paul Duetting , Tomer Ezra , Michal Feldman , Thomas Kesselheim

We study a general allocation setting where agent valuations are concave additive. In this model, a collection of items must be uniquely distributed among a set of agents, where each agent-item pair has a specified utility. The objective is…

Data Structures and Algorithms · Computer Science 2022-03-15 Nathaniel Kell , Kevin Sun

The celebrated model of auctions with interdependent valuations, introduced by Milgrom and Weber in 1982, has been studied almost exclusively under private signals $s_1, \ldots, s_n$ of the $n$ bidders and public valuation functions…

Computer Science and Game Theory · Computer Science 2023-10-03 Alon Eden , Michal Feldman , Kira Goldner , Simon Mauras , Divyarthi Mohan

In the interdependent values (IDV) model introduced by Milgrom and Weber [1982], agents have private signals that capture their information about different social alternatives, and the valuation of every agent is a function of all agent…

Computer Science and Game Theory · Computer Science 2023-09-13 Avi Cohen , Michal Feldman , Divyarthi Mohan , Inbal Talgam-Cohen

We study online secretary problems with returns in combinatorial packing domains with $n$ candidates that arrive sequentially over time in random order. The goal is to accept a feasible packing of candidates of maximum total value. In the…

Data Structures and Algorithms · Computer Science 2020-02-06 Martin Hoefer , Lisa Wilhelmi

We study a natural combinatorial single-principal multi-agent contract design problem, in which a principal motivates a team of agents to exert effort toward a given task. At the heart of our model is a reward function, which maps the agent…

Computer Science and Game Theory · Computer Science 2026-03-04 Paul Duetting , Tomer Ezra , Michal Feldman , Thomas Kesselheim

In learning-augmented online algorithms, predictions are usually valued for what they say: a value estimate, a solution, or an algorithmic recommendation. This paper shows that predictions can also be valuable solely due to their arrival…

Data Structures and Algorithms · Computer Science 2026-05-22 Franziska Eberle , Alexander Lindermayr

We investigate the mechanism design problem faced by a principal who hires \emph{multiple} agents to gather and report costly information. Then, the principal exploits the information to make an informed decision. We model this problem as a…

Computer Science and Game Theory · Computer Science 2023-07-13 Federico Cacciamani , Matteo Castiglioni , Nicola Gatti

Augmenting the input of algorithms with predictions is an algorithm design paradigm that suggests leveraging a (possibly erroneous) prediction to improve worst-case performance guarantees when the prediction is perfect (consistency), while…

Computer Science and Game Theory · Computer Science 2025-11-20 Georgios Amanatidis , Evangelos Markakis , Christodoulos Santorinaios , Guido Schäfer , Panagiotis Tsamopoulos , Artem Tsikiridis

This paper studies an online trading variant of the classical secretary problem, called secretary problem variant trading (SPVT), from the perspective of an intermediary who facilitates trade between a seller and $n$ buyers (collectively…

Optimization and Control · Mathematics 2026-04-20 Xujin Chen , Xiaodong Hu , Changjun Wang , Yuchun Xiong , Qingjie Ye
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