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This paper studies the optimal investment behavior of renewable electricity producers in a competitive market, where both prices and installation costs are influenced by aggregate industry activity. We model the resulting crowding effects…

Optimization and Control · Mathematics 2025-07-16 Emma Hubert , Dimitrios Lolas , Ronnie Sircar

We study utility maximization problem for general utility functions using dynamic programming approach. We consider an incomplete financial market model, where the dynamics of asset prices are described by an $R^d$-valued continuous…

Probability · Mathematics 2008-12-10 M. Mania , R. Tevzadze

We formulate an equilibrium model of intraday trading in electricity markets. Agents face balancing constraints between their customers consumption plus intraday sales and their production plus intraday purchases. They have continuously…

Computational Finance · Quantitative Finance 2020-10-20 René Aid , Andrea Cosso , Huyên Pham

We construct Nash-equilibria in mean-field portfolio games of optimal investment and hedging under relative performance concerns with exponential (CARA) utility preferences. Common noise dynamics are modeled by integer-valued random…

Optimization and Control · Mathematics 2026-01-08 Dirk Becherer , Stefanie Hesse

We introduce an equilibrium asset pricing model, which we build on the relationship between a novel risk measure, the Expected Downside Risk (EDR) and the expected return. On the one hand, our proposed risk measure uses a nonparametric…

Pricing of Securities · Quantitative Finance 2015-12-08 Mihaly Ormos , Dusan Timotity

We study optimal control for mean-field forward backward stochastic differential equations with payoff functionals of mean-field type. Sufficient and necessary optimality conditions in terms of a stochastic maximum principle are derived. As…

Optimization and Control · Mathematics 2019-05-14 Nacira Agram , Salah Eddine Choutri

In this paper, we investigate the robustness of stationary mean-field equilibria in the presence of model uncertainties, specifically focusing on infinite-horizon discounted cost functions. To achieve this, we initially establish…

Systems and Control · Electrical Eng. & Systems 2026-04-10 Uğur Aydın , Naci Saldi

This paper studies the dynamic pricing mechanism for data products in demand-driven markets through a game-theoretic framework. We develop a three-tier Stackelberg game model to capture the hierarchical strategic interactions among key…

Optimization and Control · Mathematics 2025-12-29 Lijun Bo , Dongfang Yang , Shihua Wang

We analyze a market impact game between $n$ risk averse agents who compete for liquidity in a market impact model with permanent price impact and additional slippage. Most market parameters, including volatility and drift, are allowed to…

Trading and Market Microstructure · Quantitative Finance 2020-01-06 Samuel Drapeau , Peng Luo , Alexander Schied , Dewen Xiong

The problem of robust utility maximization in an incomplete market with volatility uncertainty is considered, in the sense that the volatility of the market is only assumed to lie between two given bounds. The set of all possible models…

Probability · Mathematics 2015-04-07 Anis Matoussi , Dylan Possamaï , Chao Zhou

We study existence and uniqueness of continuous-time stochastic Radner equilibria in an incomplete market model among a group of agents whose preference is characterized by cash invariant time-consistent monetary utilities. An assumption of…

Probability · Mathematics 2017-02-07 Constantinos Kardaras , Hao Xing , Gordan Žitković

In this paper, we prove the global risk optimality of the hedging strategy of contingent claim, which is explicitly (or called semi-explicitly) constructed for an incomplete financial market with external risk factors of non-Gaussian…

Probability · Mathematics 2015-08-28 Wanyang Dai

We investigate an optimal prevention and insurance problem in a general risk setting, where a representative agent is exposed to potential losses. The agent adopts a strategy that combines self-protection, aimed at reducing the frequency of…

Optimization and Control · Mathematics 2025-07-29 Claudia Ceci , Alessandra Cretarola

This article studies quadratic semimartingale BSDEs arising in power utility maximization when the market price of risk is of BMO type. In a Brownian setting we provide a necessary and sufficient condition for the existence of a solution…

Probability · Mathematics 2012-05-10 Christoph Frei , Markus Mocha , Nicholas Westray

We provide closed-form market equilibrium formula consolidating informational imperfections and investors beliefs. Based on Merton's model, we characterize the equilibrium expected excess returns vector with incomplete information. We then…

Pricing of Securities · Quantitative Finance 2025-02-14 Hafid Lalioui , Amine Ben Amar , Makram Bellalah

This paper studies dynamic mean-variance (MV) asset allocation problems in general incomplete markets. Besides of the conventional MV objective on portfolio's terminal wealth, our framework can accommodate running MV objectives with general…

Mathematical Finance · Quantitative Finance 2024-12-25 Qian Lei , Chi Seng Pun , Jingxiang Tang

The classical mean-variance portfolio selection problem induces time-inconsistent (precommited) strategies (see Zhou and Li (2000)). To overcome this time-inconsistency, Basak and Chabakauri (2010) introduce the game theoretical approach…

Mathematical Finance · Quantitative Finance 2023-05-26 Mengge Li , Shuaijie Qian , Chao Zhou

We propose an optimal portfolio problem in the incomplete market where the underlying assets depend on economic factors with delayed effects, such models can describe the short term forecasting and the interaction with time lag among…

Mathematical Finance · Quantitative Finance 2018-05-04 Shuenn-Jyi Sheu , Li-Hsien Sun , Zheng Zhang

This paper investigates portfolio selection within a continuous-time financial market with regime-switching and beliefs-dependent utilities. The market coefficients and the investor's utility function both depend on the market regime, which…

Optimization and Control · Mathematics 2024-10-23 Xiaochen Chen , Guohui Guan , Zongxia Liang

We propose a stochastic game modelling the strategic interaction between market makers and traders of optimal execution type. For traders, the permanent price impact commonly attributed to them is replaced by quoting strategies implemented…

Trading and Market Microstructure · Quantitative Finance 2025-04-10 Ivan Guo , Shijia Jin