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We consider the convex bilevel optimization problem, also known as simple bilevel programming. There are two challenges in solving convex bilevel optimization problems. Firstly, strong duality is not guaranteed due to the lack of Slater…

最优化与控制 · 数学 2025-09-29 Khanh-Hung Giang-Tran , Nam Ho-Nguyen , Fatma Kılınç-Karzan , Lingqing Shen

Many interesting problems in the Internet industry can be framed as a two-sided marketplace problem. Examples include search applications and recommender systems showing people, jobs, movies, products, restaurants, etc. Incorporating…

人工智能 · 计算机科学 2020-06-24 Kinjal Basu , Cyrus DiCiccio , Heloise Logan , Noureddine El Karoui

We study the power of price discrimination via an intermediary in bilateral trade, when there is a revenue-maximizing seller selling an item to a buyer with a private value drawn from a prior. Between the seller and the buyer, there is an…

计算机科学与博弈论 · 计算机科学 2023-04-28 Shao-Heng Ko , Kamesh Munagala

Given a convex optimization problem and its dual, there are many possible first-order algorithms. In this paper, we show the equivalence between mirror descent algorithms and algorithms generalizing the conditional gradient method. This is…

机器学习 · 计算机科学 2013-10-21 Francis Bach

We provide a model-free pricing-hedging duality in continuous time. For a frictionless market consisting of $d$ risky assets with continuous price trajectories, we show that the purely analytic problem of finding the minimal superhedging…

数理金融 · 定量金融 2019-07-29 Daniel Bartl , Michael Kupper , David J. Prömel , Ludovic Tangpi

Market price systems constitute a well-understood class of mechanisms that under certain conditions provide effective decentralization of decision making with minimal communication overhead. In a market-oriented programming approach to…

人工智能 · 计算机科学 2008-02-03 M. P. Wellman

How to compute (super) hedging costs in rather general fi- nancial market models with transaction costs in discrete-time ? Despite the huge literature on this topic, most of results are characterizations of the super-hedging prices while it…

概率论 · 数学 2024-05-13 Emmanuel Lepinette , Duc Thinh Vu

The linear programming (LP) approach is, together with value iteration and policy iteration, one of the three fundamental methods to solve optimal control problems in a dynamic programming setting. Despite its simple formulation,…

系统与控制 · 电气工程与系统科学 2023-10-31 Lucia Falconi , Andrea Martinelli , John Lygeros

Competition is a main tenet of economics, and the reason is that a perfectly competitive equilibrium is Pareto-efficient in the absence of externalities and public goods. Whether a product is selected in a market crucially relates to its…

经济学 · 定量金融 2015-12-09 Su Do Yi , Seung Ki Baek , Guillaume Chevereau , Eric Bertin

The design of energy markets is a subject of ongoing debate, particularly concerning the choice between the widely adopted Pay-as-Clear (PC) pricing mechanism and the alternative Pay-as-Bid (PB). These mechanisms determine how energy…

计算机科学与博弈论 · 计算机科学 2025-07-09 Ioannis Caragiannis , Zhile Jiang , Stratis Skoulakis

In this paper we consider a distributed optimization scenario in which a set of agents has to solve a convex optimization problem with separable cost function, local constraint sets and a coupling inequality constraint. We propose a novel…

系统与控制 · 计算机科学 2018-04-25 Ivano Notarnicola , Giuseppe Notarstefano

Using duality theory techniques we derive simple, closed-form formulas for bounding the optimal revenue of a monopolist selling many heterogeneous goods, in the case where the buyer's valuations for the items come i.i.d. from a uniform…

计算机科学与博弈论 · 计算机科学 2015-10-14 Yiannis Giannakopoulos

We consider a revenue maximization model, in which a company aims at designing a menu of contracts, given a population of customers. A standard approach consists in constructing an incentive-compatible continuum of contracts, i.e., a menu…

最优化与控制 · 数学 2023-03-31 Quentin Jacquet , Wim van Ackooij , Clémence Alasseur , Stéphane Gaubert

We study the problem of designing a two-sided market (double auction) to maximize the gains from trade (social welfare) under the constraints of (dominant-strategy) incentive compatibility and budget-balance. Our goal is to do so for an…

计算机科学与博弈论 · 计算机科学 2024-06-21 Moshe Babaioff , Amitai Frey , Noam Nisan

This document introduces a strategy to solve linear optimization problems. The strategy is based on the bounding condition each constraint produces on each one of the problem's dimension. The solution of a linear optimization problem is…

最优化与控制 · 数学 2018-09-24 Gerardo L. Febres

We investigate the links between various no-arbitrage conditions and the existence of pricing functionals in general markets, and prove the Fundamental Theorem of Asset Pricing therein. No-arbitrage conditions, either in this abstract…

数理金融 · 定量金融 2021-05-25 Sergey Badikov , Mark H. A. Davis , Antoine Jacquier

Currently, most ISOs adopt offer cost minimization (OCM) auction mechanism which minimizes the total offer cost, and then, a settlement rule based on either locational marginal prices (LMPs) or market clearing price (MCP) is used to…

最优化与控制 · 数学 2018-06-29 Reza Jamalzadeh , Sajjad Abedi , Masoud Rashidinejad , Mingguo Hong

Price differentiation is a common strategy in many markets. In this paper, we study a static multiproduct price optimization problem with demand given by a discrete mixed multinomial logit model. By considering a mixed logit model that…

最优化与控制 · 数学 2023-04-05 Ahmadreza Marandi , Virginie Lurkin

Motivated by the increasing integration among electricity markets, in this paper we propose two different methods to incorporate market integration in electricity price forecasting and to improve the predictive performance. First, we…

统计金融 · 定量金融 2017-12-08 Jesus Lago , Fjo De Ridder , Peter Vrancx , Bart De Schutter

A multi-product monopolist faces a buyer who is privately informed about his valuations for the goods. As is well-known, optimal mechanisms are in general complicated, while simple mechanisms -- such as pure bundling or separate sales --…

理论经济学 · 经济学 2025-09-03 Mira Frick , Ryota Iijima , Yuhta Ishii