We consider a zero-sum stochastic differential controller-and-stopper game in which the state process is a controlled diffusion evolving in a multi-dimensional Euclidean space. In this game, the controller affects both the drift and the volatility terms of the state process. Under appropriate conditions, we show that the game has a value and the value function is the unique viscosity solution t...

This paper combines a search model and signaling game to analyze the interrelationship between labor market outcome and educational choices as well as relevant policy implications, featuring endogenous educational requirement for job application. It explains more than 60% of the unemployment rate difference between college and high school graduates. It predicts that higher unemployment benefit ...

Many firms find it challenging to develop innovations, evidenced by the ever-mounting number of university-industry research alliances. This study examines strategic choices actors who participate in collaborative innovation alliances involving partnerships between industry and universities (U-I) based on a stochastic evolutionary game model. White noise was introduced reflect uncertainty inter...

groundwater is one of the common resources in varamin plain, but due to over extraction it has been exposed to ruin. this phenomenon will lead to economic and environmental problems. on the other hand, the world is expected to face with more stochastic events of water supply. furthermore, incorporating stochastic consideration of water supply becomes more acute in designing water facilities. th...

we focus on the use of two stable and accurate explicit finite difference schemes in order to approximate the solution of stochastic partial differential equations of it¨o type, in particular, parabolic equations. the main properties of these deterministic difference methods, i.e., convergence, consistency, and stability, are separately developed for the stochastic cases.

The paper is concerned with the approximation of value function zero-sum differential game minimal cost, i.e., payoff functional determined by minimization some quantity along trajectory solutions continuous-time stochastic games stopping governed one player. Notice that auxiliary described Isaacs–Bellman equation additional inequality constraints. a parabolic PDE for case and it takes form sys...

We consider the interior Hölder regularity of spatial gradient viscosity solution to parabolic normalized p ( x , t ) -Laplace equation u = ? i j + ? 2 | D with some suitable assumptions on which arises naturally from a two-player zero-sum stochastic differential game probabilities depending space and time.

The emergence of corona virus (COVID-19) has create a great public concern as the outbreak is still ongoing and government are taking actions such as holiday extension, travel restriction, temporary closure of public work place, borders, schools, quarantine/isolation, social distancing and so on. To mitigate the spread, we proposed and analyzed a stochastic model for the continue spread of coro...

we focus on the use of two stable and accurate explicit finite difference schemes in order to approximate the solution of stochastic partial differential equations of it¨o type, in particular, parabolic equations. the main properties of these deterministic difference methods, i.e., convergence, consistency, and stability, are separately developed for the stochastic cases.

SPATIAL EVOLUTIONARY GAME THEORY: DETERMINISTIC APPROXIMATIONS, DECOMPOSITIONS, AND HIERARCHICAL MULTI-SCALE MODELS SEPTEMBER 2011 SUNGHA HWANG, B.A., SEOUL NATIONAL UNIVERSITY M.A., SEOUL NATIONAL UNIVERSITY Ph.D., UNIVERSITY OF MASSACHUSETTS AMHERST Directed by: Professor Luc Rey-Bellet Evolutionary game theory has recently emerged as a key paradigm in various behavioral science disciplines. ...