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This paper studies a monopolist selling multiple goods to a consumer with one-dimensional private types. I provide a sufficient condition under which the monopolist's problem is equivalent to finding the upper envelope of the marginal…

Theoretical Economics · Economics 2025-10-28 Zhiming Feng

Assortment optimization refers to the problem of designing a slate of products to offer potential customers, such as stocking the shelves in a convenience store. The price of each product is fixed in advance, and a probabilistic choice…

Computer Science and Game Theory · Computer Science 2017-11-09 Nicole Immorlica , Brendan Lucier , Jieming Mao , Vasilis Syrgkanis , Christos Tzamos

Generative model ecosystems increasingly operate as competitive multi-platform markets, where platforms strategically select models from a shared pool and users with heterogeneous preferences choose among them. Understanding how platforms…

Computer Science and Game Theory · Computer Science 2026-02-23 Xiukun Wei , Min Shi , Xueru Zhang

A drawdown constraint forces the current wealth to remain above a given function of its maximum to date. We consider the portfolio optimisation problem of maximising the long-term growth rate of the expected utility of wealth subject to a…

Portfolio Management · Quantitative Finance 2013-04-23 Vladimir Cherny , Jan Obloj

Economic-wise, a common goal for companies conducting marketing is to maximize the return revenue/profit by utilizing the various effective marketing strategies. Consumer behavior is crucially important in economy and targeted marketing, in…

Artificial Intelligence · Computer Science 2022-03-01 Wensheng Gan , Guoting Chen , Hongzhi Yin , Philippe Fournier-Viger , Chien-Ming Chen , Philip S. Yu

Algorithmic recommender systems such as Spotify and Netflix affect not only consumer behavior but also producer incentives. Producers seek to create content that will be shown by the recommendation algorithm, which can impact both the…

Computer Science and Game Theory · Computer Science 2023-12-12 Meena Jagadeesan , Nikhil Garg , Jacob Steinhardt

This paper studies an optimal investing problem for a retiree facing longevity risk and living standard risk. We formulate the investing problem as a portfolio choice problem under a time-varying risk capacity constraint. We derive the…

Portfolio Management · Quantitative Finance 2022-02-16 Weidong Tian , Zimu Zhu

Today's cloud infrastructure landscape offers a broad range of services to build and operate software applications. The myriad of options, however, has also brought along a new layer of complexity. When it comes to procuring cloud computing…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-06-16 Maximilian Kiessler , Valentin Haag , Benedikt Pittl , Erich Schikuta

We consider a principal seller with $m$ heterogeneous products to sell to an additive buyer over independent items. The principal can offer an arbitrary menu of product bundles, but faces competition from smaller and more agile single-item…

Computer Science and Game Theory · Computer Science 2024-06-21 Moshe Babaioff , Linda Cai , Brendan Lucier

We study the Merton problem of optimal consumption-investment for the case of two investors sharing a final wealth. The typical example would be a husband and wife sharing a portfolio looking to optimize the expected utility of consumption…

Portfolio Management · Quantitative Finance 2019-01-03 Adrien Nguyen Huu , Oumar Mbodji , A Nguyen-Huu , Traian A. Pirvu

While single-purchase choice models have been widely studied in assortment optimization, customers in modern retail and e-commerce environments often purchase multiple items across distinct product categories, exhibiting both substitution…

Optimization and Control · Mathematics 2025-10-03 Omar El Housni , Shuo Sun , Rajan Udwani

Market power behaviour often occurs in modern wholesale electricity markets. Mixed Complementarity Problems (MCPs) have been typically used for computational modelling of market power when it is characterised by an oligopoly with…

Optimization and Control · Mathematics 2020-01-13 Mel T. Devine , Sauleh Siddiqui

In this paper, we solve the multiple product price optimization problem under interval uncertainties of the price sensitivity parameters in the demand function. The objective of the price optimization problem is to maximize the overall…

Optimization and Control · Mathematics 2021-07-01 Mahdi Hamzeei , Alvin Lim , Jiefeng Xu

In this paper, we propose a new class of optimization problems, which maximize the terminal wealth and accumulated consumption utility subject to a mean variance criterion controlling the final risk of the portfolio. The multiple-objective…

Mathematical Finance · Quantitative Finance 2020-11-30 Ben-Zhang Yang , Xin-Jiang He , Song-Ping Zhu

Optimal reinsurance when Value at Risk and expected surplus is balanced through their ratio is studied, and it is demonstrated how results for risk-adjusted surplus can be utilized. Simplifications for large portfolios are derived, and this…

Applications · Statistics 2019-12-10 Erik Bølviken , Yinzhi Wang

Sustainable Investing identifies the approach of investors whose aim is twofold: on the one hand, they want to achieve the best compromise between portfolio risk and return, but they also want to take into account the sustainability of…

Portfolio Management · Quantitative Finance 2023-12-19 Francesco Cesarone , Manuel Luis Martino , Federica Ricca , Andrea Scozzari

We introduce a general model of resource allocation with customer choice. In this model, there are multiple resources that are available over a finite horizon. The resources are non-replenishable and perishable. Each unit of a resource can…

Optimization and Control · Mathematics 2015-11-06 Guillermo Gallego , Anran Li , Van-Anh Truong , Xinshang Wang

Motivated by practical applications, we explore the constrained multi-period mean-variance portfolio selection problem within a market characterized by a dynamic factor model. This model captures predictability in asset returns driven by…

Portfolio Management · Quantitative Finance 2025-02-26 Jianjun Gao , Chengneng Jin , Yun Shi , Xiangyu Cui

In this paper, we study a strategic model of marketing and product consumption in social networks. We consider two firms in a market competing to maximize the consumption of their products. Firms have a limited budget which can be either…

Computer Science and Game Theory · Computer Science 2015-03-05 Arastoo Fazeli , Amir Ajorlou , Ali Jadbabaie

We consider an intermediary's problem of dynamically matching demand and supply of heterogeneous types in a periodic-review fashion. More specifically, there are two disjoint sets of demand and supply types, and a reward associated with…

Optimization and Control · Mathematics 2018-11-20 Ming Hu , Yun Zhou
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