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We analyze the stability properties of equilibrium solutions and periodicity of orbits in a two-dimensional dynamical system whose orbits mimic the evolution of the price of an asset and the excess demand for that asset. The construction of…

Dynamical Systems · Mathematics 2009-09-29 Vladimir Belitsky , Antonio L. Pereira , Fernando P. de Almeida Prado

For incomplete preference relations that are represented by multiple priors and/or multiple -- possibly multivariate -- utility functions, we define a certainty equivalent as well as the utility buy and sell prices and indifference price…

Optimization and Control · Mathematics 2021-04-06 Birgit Rudloff , Firdevs Ulus

We formalize the paradox of an omniscient yet lazy investor - a perfectly informed agent who trades infrequently due to execution or computational frictions. Starting from a deterministic geometric construction, we derive a closed-form…

Trading and Market Microstructure · Quantitative Finance 2025-10-29 Stanisław M. S. Halkiewicz

We study the implementability of stable matchings in a two-sided market model with one-sided incomplete information. Firms' types are publicly known, whereas workers' types are private information. A mechanism generates a matching and…

Theoretical Economics · Economics 2025-12-23 Dinko Dimitrov , Dipjyoti Majumdar

Most current planners assume complete domain models and focus on generating correct plans. Unfortunately, domain modeling is a laborious and error-prone task. While domain experts cannot guarantee completeness, often they are able to…

Artificial Intelligence · Computer Science 2011-04-28 Tuan Nguyen , Subbarao Kambhampati , Minh Do

Motivated by the recent developments in artificial intelligence, we introduce linear quadratic deep structured teams in this paper. Two notions of equivariant and partially equivariant systems are defined, and it is shown that such systems…

Optimization and Control · Mathematics 2020-09-01 Jalal Arabneydi , Amir G. Aghdam

This paper develops a comprehensive theoretical framework that imports concepts from stochastic thermodynamics to model price impact and characterize the feasibility of round-trip arbitrage in financial markets. A trading cycle is treated…

Mathematical Finance · Quantitative Finance 2025-12-04 Amit Kumar Jha

A standing assumption in the literature on proportional transaction costs is efficient friction. Together with robust no free lunch with vanishing risk, it rules out strategies of infinite variation, as they usually appear in frictionless…

Mathematical Finance · Quantitative Finance 2023-06-21 Christoph Kühn , Alexander Molitor

We investigate entropy as a financial risk measure. Entropy explains the equity premium of securities and portfolios in a simpler way and, at the same time, with higher explanatory power than the beta parameter of the capital asset pricing…

Pricing of Securities · Quantitative Finance 2015-01-07 Mihaly Ormos , David Zibriczky

The agent-based model of stock price dynamics on a directed evolving complex network is suggested and studied by direct simulation. The stationary regime is maintained as a result of the balance between the extremal dynamics, adaptivity of…

Physics and Society · Physics 2009-11-13 D. Horvath , Z. Kuscsik

An informed seller designs a dynamic mechanism to sell an experience good. The seller has partial information about the product match, which affects the buyer's private consumption experience. We characterize equilibrium mechanisms of this…

Theoretical Economics · Economics 2025-06-24 Tan Gan , Nicholas Wu

We analyze multiline pricing and capital allocation in equilibrium no-arbitrage markets. Existing theories often assume a perfect complete market, but when pricing is linear, there is no diversification benefit from risk pooling and…

Risk Management · Quantitative Finance 2020-08-31 John A. Major , Stephen J. Mildenhall

We present a model for direct semi-parametric estimation of the State Price Density (SPD) implied in quoted option prices. We treat the observed prices as expected values of possible pay-offs at maturity, weighted by the unknown probability…

Applications · Statistics 2021-03-29 Gianluca Frasso , Paul H. C. Eilers

We develop a model for indifference pricing in derivatives markets where price quotes have bid-ask spreads and finite quantities. The model quantifies the dependence of the prices and hedging portfolios on an investor's beliefs, risk…

Pricing of Securities · Quantitative Finance 2018-03-08 John Armstrong , Teemu Pennanen , Udomsak Rakwongwan

Optimal B-robust estimate is constructed for multidimensional parameter in drift coefficient of diffusion type process with small noise. Optimal mean-variance robust (optimal V -robust) trading strategy is find to hedge in mean-variance…

Portfolio Management · Quantitative Finance 2008-12-10 N. Lazrieva , T. Toronjadze

This paper introduces robust differential dynamic logic (a fragment of differential dynamic logic) to specify and reason about robust hybrid systems. Practically meaningful syntactic restrictions naturally ensure that definable properties…

Logic in Computer Science · Computer Science 2026-02-27 Noah Abou El Wafa , André Platzer

We consider the linear complementarity problem with uncertain data modeled by intervals, representing the range of possible values. Many properties of the linear complementarity problem (such as solvability, uniqueness, convexity, finite…

Optimization and Control · Mathematics 2025-10-07 Milan Hladík

In a discrete-time financial market, a generalized duality is established for model-free superhedging, given marginal distributions of the underlying asset. Contrary to prior studies, we do not require contingent claims to be upper…

Pricing of Securities · Quantitative Finance 2019-09-17 Arash Fahim , Yu-Jui Huang , Saeed Khalili

We seek to deepen understanding of the micro-foundations of institutionalization while contributing to a sociological theory of markets by investigating the puzzle of price bubbles in financial markets. We find that such markets, despite…

General Finance · Quantitative Finance 2016-09-16 Sheen S. Levine , Edward J. Zajac

We study a continuous-time expected utility maximization problem in which the investor at maturity receives the value of a contingent claim in addition to the investment payoff from the financial market. The investor knows nothing about the…

Mathematical Finance · Quantitative Finance 2023-07-17 Yunhong Li , Zuo Quan Xu , Xun Yu Zhou
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