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In this paper, we consider a static, multi-period newsvendor model under a budget constraint. In the case where the true demand distribution is known, we develop a heuristic algorithm to solve the problem. By comparing this algorithm with…

Optimization and Control · Mathematics 2023-12-04 Ben Black , Trivikram Dokka , Christopher Kirkbride

We develop efficient algorithms to construct utility maximizing mechanisms in the presence of risk averse players (buyers and sellers) in Bayesian settings. We model risk aversion by a concave utility function, and players play…

Computer Science and Game Theory · Computer Science 2012-06-28 Anand Bhalgat , Tanmoy Chakraborty , Sanjeev Khanna

The Bayesian persuasion paradigm of strategic communication models interaction between a privately-informed agent, called the sender, and an ignorant but rational agent, called the receiver. The goal is typically to design a (near-)optimal…

Computer Science and Game Theory · Computer Science 2021-06-21 Ronen Gradwohl , Niklas Hahn , Martin Hoefer , Rann Smorodinsky

Public and private institutions must often allocate scare resources under uncertainty. Banks, for example, extend credit to loan applicants based in part on their estimated likelihood of repaying a loan. But when the quality of information…

Computers and Society · Computer Science 2021-10-11 William Cai , Johann Gaebler , Nikhil Garg , Sharad Goel

Task allocation is a crucial process in modern systems, but it is often challenged by incomplete information about the utilities of participating agents. In this paper, we propose a new profit maximization mechanism for the task allocation…

Theoretical Economics · Economics 2023-02-14 Mina Montazeri , Hamed Kebriaei , Babak N. Araabi

We propose a truthful-in-expectation, $(1-1/e)$-approximation mechanism for a strategic variant of the generalized assignment problem (GAP). In GAP, a set of items has to be optimally assigned to a set of bins without exceeding the capacity…

Computer Science and Game Theory · Computer Science 2016-08-17 Salman Fadaei , Martin Bichler

In many societal resource allocation domains, machine learning methods are increasingly used to either score or rank agents in order to decide which ones should receive either resources (e.g., homeless services) or scrutiny (e.g., child…

Multiagent Systems · Computer Science 2020-12-17 Andrew Estornell , Sanmay Das , Yevgeniy Vorobeychik

We introduce a dynamic mechanism design problem in which the designer wants to offer for sale an item to an agent, and another item to the same agent at some point in the future. The agent's joint distribution of valuations for the two…

Computer Science and Game Theory · Computer Science 2023-05-22 Christos Papadimitriou , George Pierrakos , Christos-Alexandros Psomas , Aviad Rubinstein

Many resource allocation problems can be formulated as an optimization problem whose constraints contain sensitive information about participating users. This paper concerns solving this kind of optimization problem in a distributed manner…

Optimization and Control · Mathematics 2016-11-17 Shuo Han , Ufuk Topcu , George J. Pappas

We study a market for private data in which a data analyst publicly releases a statistic over a database of private information. Individuals that own the data incur a cost for their loss of privacy proportional to the differential privacy…

Computer Science and Game Theory · Computer Science 2012-10-01 Pranav Dandekar , Nadia Fawaz , Stratis Ioannidis

We study the mean estimation problem under communication and local differential privacy constraints. While previous work has proposed \emph{order}-optimal algorithms for the same problem (i.e., asymptotically optimal as we spend more bits),…

Machine Learning · Computer Science 2023-10-31 Berivan Isik , Wei-Ning Chen , Ayfer Ozgur , Tsachy Weissman , Albert No

Stochastic matching is the stochastic version of the well-known matching problem, which consists in maximizing the rewards of a matching under a set of probability distributions associated with the nodes and edges. In most stochastic…

Optimization and Control · Mathematics 2024-05-01 Yuya Hikima , Yasunori Akagi , Hideaki Kim

We study resource allocation problems in which a central planner allocates resources among strategic agents with private cost functions in order to minimize a social cost, defined as an aggregate of the agents' costs. This setting poses two…

Computer Science and Game Theory · Computer Science 2026-03-19 Leo Landolt , Anna Maddux , Andreas Schlaginhaufen , Saurabh Vaishampayan , Maryam Kamgarpour

Enhancing resilience in multi-agent systems in the face of selfish agents is an important problem that requires further characterisation. This work develops a truthful mechanism that avoids self-interested and strategic agents maliciously…

Systems and Control · Electrical Eng. & Systems 2025-07-29 Tianyi Zhong , David Angeli

We consider the problem of a revenue-maximizing seller with m items for sale to n additive bidders with hard budget constraints, assuming that the seller has some prior distribution over bidder values and budgets. The prior may be…

Computer Science and Game Theory · Computer Science 2016-05-09 Constantinos Daskalakis , Nikhil R. Devanur , S. Matthew Weinberg

The design of data markets has gained importance as firms increasingly use machine learning models fueled by externally acquired training data. A key consideration is the externalities firms face when data, though inherently freely…

Computer Science and Game Theory · Computer Science 2024-10-22 Anish Agarwal , Munther Dahleh , Thibaut Horel , Maryann Rui

The notion of \emph{envy-freeness} is a natural and intuitive fairness requirement in resource allocation. With indivisible goods, such fair allocations are unfortunately not guaranteed to exist. Classical works have avoided this issue by…

Computer Science and Game Theory · Computer Science 2021-05-06 Hiromichi Goko , Ayumi Igarashi , Yasushi Kawase , Kazuhisa Makino , Hanna Sumita , Akihisa Tamura , Yu Yokoi , Makoto Yokoo

We investigate how and when to diversify capital over assets, i.e., the portfolio selection problem, from a signal processing perspective. To this end, we first construct portfolios that achieve the optimal expected growth in i.i.d.…

Portfolio Management · Quantitative Finance 2012-07-18 Sait Tunc , Mehmet A. Donmez , Suleyman S. Kozat

This study investigates an optimal consumption--investment problem in which the unobserved stock trend is modulated by a hidden Markov chain that represents different economic regimes. In the classical approach, the hidden state is…

Mathematical Finance · Quantitative Finance 2023-07-21 Kexin Chen , Hoi Ying Wong

In many shopping scenarios, e.g., in online shopping, customers have a large menu of options to choose from. However, most of the buyers do not browse all the options and make decision after considering only a small part of the menu. To…

Computer Science and Game Theory · Computer Science 2018-02-15 Nick Gravin , Zhihao Gavin Tang