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The main objective of this paper is to develop a martingale-type solution to optimal consumption--investment choice problems ([Merton, 1969] and [Merton, 1971]) under time-varying incomplete preferences driven by externalities such as…

Mathematical Finance · Quantitative Finance 2025-01-14 Weixuan Xia

We give a new predictive mathematical model for macroeconomics, which deals specifically with asset prices and earnings fluctuations, in the presence of a dynamic economy involving mergers, acquisitions, and hostile takeovers. Consider a…

Other Condensed Matter · Physics 2007-05-23 William Gordon Ritter

A retailer is purchasing goods in bundles from suppliers and then selling these goods in bundles to customers; her goal is to maximize profit, which is the revenue obtained from selling goods minus the cost of purchasing those goods. In…

Data Structures and Algorithms · Computer Science 2025-08-01 Yossi Azar , Niv Buchbinder , Roie Levin , Or Vardi

We focus on online second price auctions, where bids are made sequentially, and the winning bidder pays the maximum of the second-highest bid and a seller specified starting price. For many such auctions, the seller does not see all the…

Methodology · Statistics 2026-02-23 Sourav Mukherjee , Ziqian Yang , Rohit K Patra , Kshitij Khare

Developing technology and changing lifestyles have made online grocery delivery applications an indispensable part of urban life. Since the beginning of the COVID-19 pandemic, the demand for such applications has dramatically increased,…

Machine Learning · Computer Science 2022-04-19 Aysun Bozanta , Sean Berry , Mucahit Cevik , Beste Bulut , Deniz Yigit , Fahrettin F. Gonen , Ayşe Başar

In contextual dynamic pricing, a seller sequentially prices goods based on contextual information. Buyers will purchase products only if the prices are below their valuations. The goal of the seller is to design a pricing strategy that…

Machine Learning · Statistics 2025-02-14 Matilde Tullii , Solenne Gaucher , Nadav Merlis , Vianney Perchet

Reducing wealth inequality and increasing utility are critical issues. This study reveals the effects of redistribution and consumption morals on wealth inequality and utility. To this end, we present a novel approach that couples the…

General Economics · Economics 2025-04-21 Takeshi Kato , Yosuke Tanabe , Mohammad Rezoanul Hoque

We consider the problem of designing auctions which maximize consumer surplus (i.e., the social welfare minus the payments charged to the buyers). In the consumer surplus maximization problem, a seller with a set of goods faces a set of…

Computer Science and Game Theory · Computer Science 2025-03-18 Tomer Ezra , Daniel Schoepflin , Ariel Shaulker

In consumer search, there is a set of items. An agent has a prior over her value for each item and can pay a cost to learn the instantiation of her value. After exploring a subset of items, the agent chooses one and obtains a payoff equal…

Computer Science and Game Theory · Computer Science 2019-05-15 Nicole Immorlica , Jieming Mao , Christos Tzamos

We propose a projected gradient dynamical system as a model for a bargaining scheme for an asset for which the two interested agents have personal valuations which do not initially coincide. The personal valuations are formed using…

Trading and Market Microstructure · Quantitative Finance 2011-09-15 D. Pinheiro , A. A. Pinto , S. Z. Xanthopoulos , A. N. Yannacopoulos

People often face trade-offs between costs and benefits occurring at various points in time. The predominant discounting approach is to use the exponential form. Central to this approach is the discount rate, a unique parameter that…

Theoretical Economics · Economics 2024-08-13 Bach Dong-Xuan , Philippe Bich

We address the challenging problem of dynamically pricing complementary items that are sequentially displayed to customers. An illustrative example is the online sale of flight tickets, where customers navigate through multiple web pages.…

We consider markets consisting of a set of indivisible items, and buyers that have {\em sharp} multi-unit demand. This means that each buyer $i$ wants a specific number $d_i$ of items; a bundle of size less than $d_i$ has no value, while a…

Computer Science and Game Theory · Computer Science 2015-03-13 Ning Chen , Xiaotie Deng , Paul. W. Goldberg , Jinshan Zhang

We consider an auction of identical digital goods to customers whose valuations are drawn independently from known distributions. Myerson's classic result identifies the truthful mechanism that maximizes the seller's expected profit. Under…

Computer Science and Game Theory · Computer Science 2012-04-05 Elchanan Mossel , Omer Tamuz

In digital goods auctions, there is an auctioneer who sells an item with unlimited supply to a set of potential buyers, and the objective is to design truthful auction to maximize the total profit of the auctioneer. Motivated from an…

Computer Science and Game Theory · Computer Science 2011-07-27 Nick Gravin , Pinyan Lu

Traditional pricing paradigms, once dominated by static models and rule-based heuristics, are increasingly being replaced by dynamic, data-driven approaches powered by machine learning algorithms. Despite their growing sophistication, most…

Machine Learning · Computer Science 2025-12-01 Marco Mussi , Marcello Restelli

A ubiquitous learning problem in today's digital market is, during repeated interactions between a seller and a buyer, how a seller can gradually learn optimal pricing decisions based on the buyer's past purchase responses. A fundamental…

Computer Science and Game Theory · Computer Science 2021-10-06 Quinlan Dawkins , Minbiao Han , Haifeng Xu

Consumer credit services offered by e-commerce platforms provide customers with convenient loan access during shopping and have the potential to stimulate sales. To understand the causal impact of credit lines on spending, previous studies…

We consider a dynamic pricing problem where customer response to the current price is impacted by the customer price expectation, aka reference price. We study a simple and novel reference price mechanism where reference price is the…

Machine Learning · Computer Science 2024-07-23 Shipra Agrawal , Wei Tang

Retailers have significant potential to improve recommendations through strategic bundling and pricing. By taking into account different types of customers and their purchasing decisions, retailers can better accommodate customer…

Optimization and Control · Mathematics 2024-09-06 Maxime Bouscary , Mazen Danaf , Saurabh Amin