In this paper, we investigate the mean field games of N agents who are weakly coupled via the empirical measures. The underlying dynamics of the representative agent is assumed to be a controlled nonlinear diffusion process with variable coefficients. We show that individual optimal strategies...

This paper has a two-fold purpose. First, we attempt to outline the development of the turnpike theorems in the last several decades. Second, we study turnpike theorems in finite-horizon two-person zero-sum Markov games on a general Borel state space. Utilising the Bellman (or Shapley) operator...

Prompted by a real-life observation in the UK retail market, a two-player Prisoners’ Dilemma model of an alliance between two firms is adapted to include the response of a rival firm, resulting in a version of a three-player Prisoners’ Dilemma. We use this to analyse the impact on the...

Toward the late 1990s, several research groups independently began developing new, related theories in mathematical finance. These theories did away with the standard stochastic geometric diffusion "Samuelson" market model (also known as the Black-Scholes model because it is used in that most...

In 2003, the New Rural Cooperative Medical Scheme (NCMS) was initiated in China to provide rural inhabitants with financial protection against health risks. The benefit package was extended to outpatient care in 2007. Using the China Health and Nutrition Survey of 2009, this paper examines the...

Existing studies on the economic impact of wildfire smoke have focused either on single fire events or entire fire seasons without distinguishing between individual occurrences. Neither approach allows for an examination of the marginal effects of fire attributes, such as distance and fuel type,...

Fractional management companies (FMCs) that provide on-demand air travel services experience frequent changes in aircraft availability and flight requests. We propose scheduling heuristics which are both cost-effective and persistent (i.e., close to the original schedule) to address the...

Durable consumption growth is persistent and predicted by the price-dividend ratio. This provides strong and direct evidence for the existence of a highly persistent expected component. Durable consumption growth is left-skewed and exhibits time-varying volatility. I model durable consumption...

This paper proposes using an interactive fuzzy satisfying method to solve multi-objective optimization problems in integrated water management of the Yellow River Delta, China. The approach involves economic, social and ecological objectives represented by net returns, water deficiency and...