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This paper studies dynamic monopoly pricing for a broad class of settings that allow for multiple durable, multiple rental, or a mix of varieties. We show that the driving force behind pricing dynamics is the existence of trading-up…

General Economics · Economics 2025-07-09 Stefan Buehler , Nicolas Eschenbaum , Severin Lenhard

This paper investigates the efficiency loss in social cost caused by strategic bidding behavior of individual participants in a supply-demand balancing market, and proposes a mechanism to fully recover equilibrium social optimum via…

Optimization and Control · Mathematics 2021-06-22 Kaiying Lin , Beibei Wang , Pengcheng You

In a multi-unit market, a seller brings multiple units of a good and tries to sell them to a set of buyers that have monetary endowments. While a Walrasian equilibrium does not always exist in this model, natural relaxations of the concept…

Computer Science and Game Theory · Computer Science 2018-09-28 Simina Brânzei , Aris Filos-Ratsikas

A pricing principle is introduced for non-attainable $q$-exponential bounded contingent claims in an incomplete Brownian motion market setting. The buyer evaluates the contingent claim under the ``distorted Radon-Nikodym derivative'' and…

Mathematical Finance · Quantitative Finance 2022-10-11 Dejian Tian

We consider a periodical equilibrium pricing problem for multiple firms over a planning horizon of T periods. At each period, firms set their selling prices and receive stochastic demand from consumers. Firms do not know their underlying…

Computer Science and Game Theory · Computer Science 2024-06-07 Yongge Yang , Yu-Ching Lee , Po-An Chen

We study competitive equilibria in the classic Shapley-Shubik assignment model with indivisible goods and unit-demand buyers, with budget constraints: buyers can specify a maximum price they are willing to pay for each item, beyond which…

Computer Science and Game Theory · Computer Science 2010-04-19 Ning Chen , Xiaotie Deng , Arpita Ghosh

In this work, we study a generalized Fisher market model that incorporates social influence. In this extended model, a buyer's utility depends not only on their own resource allocation but also on the allocations received by their…

Computer Science and Game Theory · Computer Science 2025-01-14 Mandar Datar

In this paper, we study the Nash dynamics of strategic interplays of n buyers in a matching market setup by a seller, the market maker. Taking the standard market equilibrium approach, upon receiving submitted bid vectors from the buyers,…

Computer Science and Game Theory · Computer Science 2011-03-23 Ning Chen , Xiaotie Deng

We study a finite-horizon dynamic wholesale-price contract between a manufacturer and a retailer, both of whom observe only sales, rather than the true demand. When the retailer stocks out, unmet demand is unobserved, so both parties update…

Computer Science and Game Theory · Computer Science 2026-03-17 Michalis Deligiannis , Marco Scarsini , Xavier Venel

In this paper we present a duality theory for the robust utility maximisation problem in continuous time for utility functions defined on the positive real axis. Our results are inspired by -- and can be seen as the robust analogues of --…

Mathematical Finance · Quantitative Finance 2021-06-15 Daniel Bartl , Michael Kupper , Ariel Neufeld

We propose a model in which dividend payments occur at regular, deterministic intervals in an otherwise continuous model. This contrasts traditional models where either the payment of continuous dividends is controlled or the dynamics are…

Optimization and Control · Mathematics 2019-07-24 Jussi Keppo , Max Reppen , H. Mete Soner

We study a class of robust assortment optimization problems that was proposed by Farias, Jagabathula, and Shah (2013). The goal in these problems is to find an assortment that maximizes a firm's worst-case expected revenue under all…

Optimization and Control · Mathematics 2024-02-28 Bradley Sturt

Reinforcement learning (RL) policies often fail under dynamics that differ from training, a gap not fully addressed by domain randomization or existing adversarial RL methods. Distributionally robust RL provides a formal remedy but still…

Machine Learning · Computer Science 2026-04-16 Mintae Kim , Koushil Sreenath

This paper focuses on the coordination of a large population of dynamic agents with private information over multiple periods. Each agent maximizes the individual utility, while the coordinator determines the market rule to achieve group…

Systems and Control · Computer Science 2015-10-05 Sen Li , Wei Zhang

We study deterministic monopoly pricing under partial knowledge of the market, where the seller has access only to summary statistics of the valuation distribution, such as the mean, dispersion, and maximum value. Using tools from…

Optimization and Control · Mathematics 2025-09-09 Tim S. G. van Eck , Pieter Kleer , Johan S. H. van Leeuwaarden

We consider the problem in which n items arrive to a market sequentially over time, where two agents compete to choose the best possible item. When an agent selects an item, he leaves the market and obtains a payoff given by the value of…

Computer Science and Game Theory · Computer Science 2022-04-12 Fabien Gensbittel , Dana Pizarro , Jérôme Renault

In this paper, we consider the classic stochastic (dynamic) knapsack problem, a fundamental mathematical model in revenue management, with general time-varying random demand. Our main goal is to study the optimal policies, which can be…

Optimization and Control · Mathematics 2018-07-19 Yingdong Lu

Continuous time financial market models are often motivated as scaling limits of discrete time models. The objective of this paper is to establish such a connection for a robust framework. More specifically, we consider discrete time models…

Probability · Mathematics 2024-10-17 David Criens

In many realistic problems of allocating resources, economy efficiency must be taken into consideration together with social equality, and price rigidities are often made according to some economic and social needs. We study the…

Computer Science and Game Theory · Computer Science 2014-05-27 Wei Huang , Jian Lou , Zhonghua Wen

This paper develops algorithms to solve strong-substitutes product-mix auctions. That is, it finds competitive equilibrium prices and quantities for agents who use this auction's bidding language to truthfully express their…

Computer Science and Game Theory · Computer Science 2023-07-11 Elizabeth Baldwin , Paul W. Goldberg , Paul Klemperer , Edwin Lock
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