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We study indifference pricing of exotic derivatives by using hedging strategies that take static positions in quoted derivatives but trade the underlying and cash dynamically over time. We use real quotes that come with bid-ask spreads and…

Pricing of Securities · Quantitative Finance 2020-08-05 Teemu Pennanen , Udomsak Rakwongwan

We suggest that the analysis of incomplete contracting developed by law and economics researchers can provide a useful framework for understanding the AI alignment problem and help to generate a systematic approach to finding solutions. We…

Artificial Intelligence · Computer Science 2018-04-13 Dylan Hadfield-Menell , Gillian Hadfield

We consider a competitive market with risk-averse participants. We assume that agents' risks are measured by coherent risk measures introduced by Artzner et al. (1999). Fundamental theorems of welfare economics have long established the…

Optimization and Control · Mathematics 2025-04-28 Iman Khajepour , Geoffrey Pritchard , Danny Ralph , Golbon Zakeri

We study the problem of fairly allocating a set of indivisible items among a set of agents. We consider the notion of (approximate) maximin share (MMS) and we provide an improved lower bound of $1/2$ (which is tight) for the case of…

Computer Science and Game Theory · Computer Science 2025-02-10 George Christodoulou , Vasilis Christoforidis , Symeon Mastrakoulis , Alkmini Sgouritsa

We consider a discrete time financial market with proportional transaction costs under model uncertainty, and study a num\'eraire-based semi-static utility maximization problem with an exponential utility preference. The randomization…

Mathematical Finance · Quantitative Finance 2019-08-02 Shuoqing Deng , Xiaolu Tan , Xiang Yu

A derivative is a financial security whose value is a function of underlying traded assets and market outcomes. Pricing a financial derivative involves setting up a market model, finding a martingale (``fair game") probability measure for…

Quantum Physics · Physics 2022-09-20 Patrick Rebentrost , Alessandro Luongo , Samuel Bosch , Seth Lloyd

We investigate a market without money in which agents can offer certain goods (or multiple copies of an agent-specific good) in exchange for goods of other agents. The exchange must be balanced in the sense that each agent should receive a…

Discrete Mathematics · Computer Science 2021-04-02 Pavlos Eirinakis , Ioannis Mourtos , Michalis Samaris

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

This thesis develops equilibrium asset pricing models in incomplete markets with a large number of heterogeneous agents using mean field game theory. The market equilibrium is characterized by a novel form of mean field backward stochastic…

Mathematical Finance · Quantitative Finance 2026-03-24 Masashi Sekine

This paper considers the optimal portfolio selection problem in a dynamic multi-period stochastic framework with regime switching. The risk preferences are of exponential (CARA) type with an absolute coefficient of risk aversion which…

Optimization and Control · Mathematics 2011-02-25 Traian A Pirvu , Huayue Zhang

We consider the problem of maximizing portfolio value when an agent has a subjective view on asset value which differs from the traded market price. The agent's trades will have a price impact which affect the price at which the asset is…

Mathematical Finance · Quantitative Finance 2020-10-13 Ryan Donnelly , Matthew Lorig

We study an equilibrium-based continuous asset pricing problem for the securities market. In the previous work [16], we have shown that a certain price process, which is given by the solution to a forward backward stochastic differential…

Mathematical Finance · Quantitative Finance 2021-12-13 Masaaki Fujii , Akihiko Takahashi

This research investigates liquidity dynamics in fractional ownership markets, focusing on illiquid alternative investments traded on a FinTech platform. By leveraging empirical data and employing agent-based modeling (ABM), the study…

Trading and Market Microstructure · Quantitative Finance 2024-12-05 Lars Fluri , A. Ege Yilmaz , Denis Bieri , Thomas Ankenbrand , Aurelio Perucca

We study the upper hedging price for contingent claims in market models with strong types of arbitrage: increasing profit, strong arbitrage, and arbitrage of the first kind. The existence of arbitrage may make the price smaller than if it…

Mathematical Finance · Quantitative Finance 2026-03-31 Yukihiro Tsuzuki

The determination of acceptability prices of contingent claims requires the choice of a stochastic model for the underlying asset price dynamics. Given this model, optimal bid and ask prices can be found by stochastic optimization. However,…

Pricing of Securities · Quantitative Finance 2019-01-31 Martin Glanzer , Georg Ch. Pflug , Alois Pichler

This paper studies contracting in the presence of externalities with a non-contractible outsider. Multiple equilibria arise from strategic symmetry between the insider agent and the outsider. To address strategic uncertainty, the principal…

Theoretical Economics · Economics 2025-09-09 Hongcheng Li

We consider the fair allocation of indivisible items to several agents and add a graph theoretical perspective to this classical problem. Namely, we introduce an incompatibility relation between pairs of items described in terms of a…

Discrete Mathematics · Computer Science 2022-11-29 Nina Chiarelli , Matjaž Krnc , Martin Milanič , Ulrich Pferschy , Nevena Pivač , Joachim Schauer

We derive the arbitrage gains or, equivalently, Loss Versus Rebalancing (LVR) for arbitrage between \textit{two imperfectly liquid} markets, extending prior work that assumes the existence of an infinitely liquid reference market. Our…

Mathematical Finance · Quantitative Finance 2025-12-03 Christoph Schlegel , Quintus Kilbourn

We study multi-agent contracts, in which a principal delegates a task to multiple agents and incentivizes them to exert effort. Prior research has mostly focused on maximizing the principal's utility, often resulting in highly disparate…

Computer Science and Game Theory · Computer Science 2026-01-26 Ke Ding , Bo Li , Ankang Sun

In order to find a way of measuring the degree of incompleteness of an incomplete financial market, the rank of the vector price process of the traded assets and the dimension of the associated acceptance set are introduced. We show that…

Mathematical Finance · Quantitative Finance 2018-11-20 Abdelkarem Berkaoui