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In sorting literature, comparative statics for multidimensional assignment models with general output functions and input distributions is an important open question. We provide a complete theory of comparative statics for technological…

General Economics · Economics 2025-12-12 Job Boerma , Andrea Ottolini , Aleh Tsyvinski

I study symmetric competitions in which each player chooses an arbitrary distribution over a one-dimensional performance index, subject to a convex cost. I establish existence of a symmetric equilibrium, document various properties it must…

Theoretical Economics · Economics 2026-05-07 Mark Whitmeyer

We study Cournot competition among firms in a networked marketplace that is centrally managed by a market maker. In particular, we study a situation in which a market maker facilitates trade between geographically separate markets via a…

Computer Science and Game Theory · Computer Science 2019-04-22 Desmond Cai , Subhonmesh Bose , Adam Wierman

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

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, the optimal pricing strategy in Avellande-Stoikov's for a monopolistic dealer is extended to a general situation where multiple dealers are present in a competitive market. The dealers' trading intensities, their optimal bid…

Trading and Market Microstructure · Quantitative Finance 2015-12-31 Wai-Ki Ching , Jia-Wen Gu , Qing-Qing Yang , Tak-Kuen Siu

We study N-player finite games with costs perturbed due to time-varying disturbances in the underlying system and to that end, we propose the concept of Robust Correlated Equilibrium that generalizes the definition of Correlated…

Systems and Control · Electrical Eng. & Systems 2025-07-02 Rahul Misra , Rafał Wisniewski , Carsten Skovmose Kallesøe , Manuela L. Bujorianu

This paper proposes a strategic model of pollution control. A firm, representative of the productive sector of a country, aims at maximizing its profits by expanding its production. Assuming that the output of production is proportional to…

Optimization and Control · Mathematics 2018-06-08 Giorgio Ferrari , Torben Koch

We study monopoly regulation under asymmetric information about costs when subsidies are infeasible. A monopolist with privately known marginal cost serves a single product market and sets a price. The regulator maximizes a weighted welfare…

Theoretical Economics · Economics 2026-02-09 Jiaming Wei , Dihan Zou

We study the ex-ante minimization of market inefficiency, defined in terms of minimum deviation of market prices from fundamental values, from a centralized planner's perspective. Prices are pressured from exogenous trading actions of…

Risk Management · Quantitative Finance 2021-05-13 Kerstin Awiszus , Agostino Capponi , Stefan Weber

Despite having the same basic prophet inequality setup and model of loss aversion, conclusions in our multi-dimensional model differs considerably from the one-dimensional model of Kleinberg et al. For example, Kleinberg et al. gives a…

Computer Science and Game Theory · Computer Science 2023-09-28 Linda Cai , Joshua Gardner , S. Matthew Weinberg

This paper addresses the portfolio selection problem for nonlinear law-dependent preferences in continuous time, which inherently exhibit time inconsistency. Employing the method of stochastic maximum principle, we establish verification…

Mathematical Finance · Quantitative Finance 2023-11-15 Zongxia Liang , Jianming Xia , Fengyi Yuan

This work is concerned with the dynamics of online cultural markets, namely, attention allocation of many users on a set of digital goods with infinite supply. Such dynamic is important in shaping processes and outcomes in society, from…

Social and Information Networks · Computer Science 2023-04-25 Haiqing Zhu , Yun Kuen Cheung , Lexing Xie

This paper is the continuation of "Pricing with coherent risk" and deals with further applications of coherent risk measures to problems of finance. First, we study the optimization problem. Three forms of this problem are considered.…

Probability · Mathematics 2008-12-10 Alexander S. Cherny

We study the performance of general dynamic matching models. This model is defined by a connected graph, where nodes represent the class of items and the edges the compatibilities between items. Items of different classes arrive one by one…

Computer Science and Game Theory · Computer Science 2020-09-22 Arnaud Cadas , Josu Doncel , Jean-Michel Fourneau , Ana Bušić

Personalized pricing is a business strategy to charge different prices to individual consumers based on their characteristics and behaviors. It has become common practice in many industries nowadays due to the availability of a growing…

Computers and Society · Computer Science 2022-02-22 Renzhe Xu , Xingxuan Zhang , Peng Cui , Bo Li , Zheyan Shen , Jiazheng Xu

In this paper we explore optimal liquidation in a market populated by a number of heterogeneous market makers that have limited inventory-carrying and risk-bearing capacity. We derive a reduced form model for the dynamic of their aggregated…

Trading and Market Microstructure · Quantitative Finance 2022-09-01 Marina Di Giacinto , Claudio Tebaldi , Tai-Ho Wang

This paper studies a robust portfolio optimization problem under the multi-factor volatility model introduced by Christoffersen et al. (2009). The optimal strategy is derived analytically under the worst-case scenario with or without…

Mathematical Finance · Quantitative Finance 2020-06-16 Ben-Zhang Yang , Xiaoping Lu , Guiyuan Ma , Song-Ping Zhu

In this paper, we consider microgrids that interconnect prosumers with distributed energy resources and dynamic loads. Prosumers are connected through the microgrid to trade energy and gain profit while respecting the network constraints.…

Systems and Control · Electrical Eng. & Systems 2024-02-07 Zeinab Salehi , Yijun Chen , Ian R. Petersen , Elizabeth L. Ratnam , Guodong Shi

Since 2016 the operation of insurance companies in the European Union is regulated by the Solvency II directive. According to the EU directive the capital requirement should be calculated as a 99.5\% of Value at Risk. In this study, we…

Theoretical Economics · Economics 2024-04-30 Kolos Csaba Ágoston , Veronika Varga