Overcoming Time Inconsistency with a Matched Bet: Theory and Evidence from Exercising

2021 ◽  
Author(s):  
Andrej Woerner
Keyword(s):  
Time Inconsistency ◽  
Bet Theory

On closed-loop equilibrium strategies for mean-field stochastic linear quadratic problems

2020 ◽  
Vol 26 ◽  
pp. 41
Author(s):  
Tianxiao Wang
Keyword(s):  
Optimal Control ◽  
Closed Loop ◽  
Optimal Control Problems ◽  
Mean Field ◽  
Open Loop ◽  
Time Inconsistency ◽  
Control Problems ◽  
Linear Quadratic ◽  
Linear Quadratic Optimal Control ◽  
Equilibrium Strategies

This article is concerned with linear quadratic optimal control problems of mean-field stochastic differential equations (MF-SDE) with deterministic coefficients. To treat the time inconsistency of the optimal control problems, linear closed-loop equilibrium strategies are introduced and characterized by variational approach. Our developed methodology drops the delicate convergence procedures in Yong [Trans. Amer. Math. Soc. 369 (2017) 5467–5523]. When the MF-SDE reduces to SDE, our Riccati system coincides with the analogue in Yong [Trans. Amer. Math. Soc. 369 (2017) 5467–5523]. However, these two systems are in general different from each other due to the conditional mean-field terms in the MF-SDE. Eventually, the comparisons with pre-committed optimal strategies, open-loop equilibrium strategies are given in details.

Investigation of materials and convection for lithium sulfur batteries

2015 ◽  
Author(s):  
◽  
Donald A. Dornbusch
Keyword(s):  
Active Material ◽  
Lithium Ion ◽  
Metal Electrode ◽  
University Of Missouri ◽  
Lithium Sulfur Batteries ◽  
Before And After ◽  
Bet Theory ◽  
Comsol Simulation ◽  
The University ◽  
Lithium Sulfur

[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT REQUEST OF AUTHOR.] The following dissertation investigates different aspects of lithium-sulfur batteries. Lithium-sulfur batteries have a higher theoretical capacity than current lithium-ion chemistries. First, a study on the lithium-metal electrode and the formation of dendrites investigates how flow impacts the failure from dendrites of these electrodes. Second, a study relying on charging to avoid the soluble intermediates generated through charge/discharge of sulfur-cathodes which are the primary cause of capacity fade in these systems. Third, sulfur is polymerized through radical polymerization with diene comonomers in order to reduce the solubility and mobility of the intermediates generated during cycling. Using Brunauer-Emmett-Teller (BET) theory, the surface area and pore volume can be observed before and after cycling demonstrating the amount of mobility the active material has during cycling. Finally, a study on the conduction phenomena in convection batteries is studied through a literature review and COMSOL simulation.

Sign in / Sign up

Export Citation Format

Share Document