Rigorous construction and classification of solitary-waves and exact soliton configurations in the nonlinear coupled Maccari system. [PDF]
Hussain A +6 more
europepmc +1 more source
Reinforcement Learning for Jump‐Diffusions, With Financial Applications
ABSTRACT We study continuous‐time reinforcement learning (RL) for stochastic control in which system dynamics are governed by jump‐diffusion processes. We formulate an entropy‐regularized exploratory control problem with stochastic policies to capture the exploration–exploitation balance essential for RL.
Xuefeng Gao, Lingfei Li, Xun Yu Zhou
wiley +1 more source
Deterministic, stochastic, and mean-field PDE models in neuroscience. [PDF]
Çetin C +5 more
europepmc +1 more source
Equilibrium Reward for Liquidity Providers in Automated Market Makers
ABSTRACT We find the equilibrium contract that an automated market maker (AMM) offers to their strategic liquidity providers (LPs) in order to maximize the order flow that gets processed by the venue. Our model is formulated as a leader–follower stochastic game, where the venue is the leader and a representative LP is the follower.
Alif Aqsha +2 more
wiley +1 more source
Parameter identification for PDEs using sparse interior data and a recurrent neural network. [PDF]
Long J, Khaliq A, Furati KM.
europepmc +1 more source
Relative Arbitrage Opportunities With Interactions Among N Investors
ABSTRACT The relative arbitrage portfolio outperforms a benchmark portfolio over a given time‐horizon with probability one. With market price of risk processes depending on the market portfolio and investors, this paper analyzes the multi‐agent optimization of relative arbitrage opportunities in the coupled system of market and wealth dynamics.
Tomoyuki Ichiba, Nicole Tianjiao Yang
wiley +1 more source
The Emergence of Turing Instability and Pattern Formation in a Nonlinear Stochastic Spatiotemporal Epidemic Model with Reinfections. [PDF]
Singh AK +3 more
europepmc +1 more source
Market Making With Fads, Informed, and Uninformed Traders
ABSTRACT We characterize the solution to a continuous‐time optimal liquidity provision problem in a market populated by informed and uninformed traders. In our model, the asset price exhibits fads —these are short‐term deviations from the fundamental value of the asset.
Emilio Barucci +2 more
wiley +1 more source
New analytical wave solutions for the gardner equation via the Riccati-modified extended simple equation method. [PDF]
Jawarneh Y +5 more
europepmc +1 more source
Information‐Theoretic Approach to Financial Market Modeling
ABSTRACT The paper treats the financial market as a communication system, using four information‐theoretic assumptions to derive an idealized model with only one parameter. State variables are scalar stationary diffusions. The model maximizes the surprisal of the market and minimizes the Kullback–Leibler divergence between the benchmark‐neutral pricing
Eckhard Platen
wiley +1 more source

