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...

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...

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...

This paper develops and empirically implements an arbitrage-free, dynamic term structure model with "priced" factor and regime-shift risks. The risk factors are assumed to follow a discrete-time Gaussian process, and regime shifts are governed by a discrete-time Markov process with...

An integrated optimization simulation model has been developed based on an input-output approach to mitigate water pollution and water scarcity through embedding environmental economic policies and applicable technologies into a complex environ-economic system to obtain an optimal set of...

In fast-paced markets, the speed of action is critical to gaining competitive advantage. Yet, who will act quickest to rise to emergent challenges and opportunities? We investigate this question of competitive dynamics by combining behavioral and resource-based theories of the firm to explore...

This study reports on new projections of discharge to the Baltic Sea given possible realisations of future climate and uncertainties regarding these projections. A high-resolution, pan-Baltic application of the Hydrological Predictions for the Environment (HYPE) model was used to make transient...

Since the electricity market reforms of 2002, two large-scale power shortages, one occurring in 2004 and one in 2011, exerted a tremendous impact on the economic development of China and also gave rise to a fierce discussion regarding electricity system reforms. In this paper, the background and...

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...