Results 81 to 90 of about 3,173,574 (293)
The Minkowski-Bellman Equation
, 2020 This manuscript studies the Minkowski-Bellman equation, which is the Bellman equation arising from finite or infinite horizon optimal control of unconstrained linear discrete time systems with stage and terminal cost functions specified as Minkowski functions of proper C-sets.
openaire +2 more sources
"Itô's Lemma" and the Bellman equation: An applied view [PDF]
Rare and randomly occurring events are important features of the economic world. In continuous time they can easily be modeled by Poisson processes. Analyzing optimal behavior in such a setup requires the appropriate version of the change of variables ...
Sennewald, Ken, Wälde, Klaus
core
, 2012 We study a two-player zero-sum stochastic differential game with both players adopting impulse controls, on a finite time horizon. The Hamilton-Jacobi-Bellman-Isaacs (HJBI) partial differential equation of the game turns out to be a double-obstacle quasi-
Cosso, Andrea
core +1 more source
From gateway to value ladder—The curious case of online mutual aid in China
Journal of Risk and Insurance, EarlyView.Abstract This study examines how InsurTech‐enabled information provision, specifically the disclosure of claimant information previously unavailable in conventional insurance, influences individuals' insurance uptake. We leverage Mutual Aid (MA) platforms as a natural context to examine how socially framed loss information, peer influence, and salience
Ze Chen +3 more
wiley +1 more source
Optimal execution strategy in liquidity framework
Cogent Economics & Finance, 2017 A trader wishes to execute a given number of shares of an illiquid asset. Since the asset price also depends on the trading behaviour, the trader main aim is to find the execution strategy that minimizes the related expected costs.
Chiara Benazzoli, Luca Di Persio
doaj +1 more source
Tackling nonlinear price impact with linear strategies
Mathematical Finance, Volume 35, Issue 2, Page 422-440, April 2025.Abstract Empirical studies in various contexts find that the price impact of large trades approximately follows a power law with exponent between 0.4 and 0.7. Yet, tractable formulas for the portfolios that trade off predictive trading signals, risk, and trading costs in an optimal manner are only available for quadratic costs corresponding to linear ...
Xavier Brokmann +3 more
wiley +1 more source
Controlled Stochastic Differential Equations under Poisson Uncertainty and with Unbounded Utility [PDF]
The present paper is concerned with the optimal control of stochastic differential equations, where uncertainty stems from one or more independent Poisson processes.
Sennewald, Ken
core
Agents' Behavior and Interest Rate Model Optimization in DeFi Lending
Mathematical Finance, EarlyView.ABSTRACT Contrasting sharply with traditional money, bond, and bond futures markets, where interest rates emerge organically from participant interactions, DeFi lending platforms employ rule‐based interest rates that are algorithmically set. Thus, the selection of an effective interest rate model (IRM) is paramount for the success of a lending protocol.
Charles Bertucci +4 more
wiley +1 more source
Macroscopic Market Making Games
Mathematical Finance, EarlyView.ABSTRACT Building on the macroscopic market making framework as a control problem, this paper investigates its extension to stochastic games. In the context of price competition, each agent is benchmarked against the best quote offered by the others. We begin with the linear case.
Ivan Guo, Shijia Jin
wiley +1 more source
Journal of Function Spaces, 2018 Some new discrete Gronwall-Bellman type inequalities with three independent variables which generalize some existing results and can be used as handy tools in the study of qualitative and quantitative properties of solutions of certain classes of ...
Weihua Liu, Haisong Huang
doaj +1 more source