This paper is concernedwith a leader–follower stochastic differential gamewith asymmetric information, where the information available to the follower is based on some sub-σ -algebra of that available to the leader. Such kind of game problem has wide applications in finance, economics and management engineering such as newsvendor problems, cooperative advertising and pricing problems. Stochasti...

Game theory is an efficient tool to represent and conceptualize the problems concerning conflict and competition. In recent years and especially for durable products, competition between domestic and foreign brands for gaining market share has received a considerable attention. This paper study electronic commerce concepts by differential game theory and introduce a novel and comprehensive mode...

The increasing development of combined heat and power (CHP) plants is exacerbating the wind power curtailment problem in regional power grids during the winter heating season. Electric boilers (EBs) were proposed to be employed within CHP plants to relieve this problem. However, CHP plants usually have no incentive for investing in EBs. Therefore, CHP plants must be incentivized to make such in...

This paper extends the Adaptively Rational Equilibrium Dynamics (ARED) of (Brock and Hommes 1997) by introducing a generalized version of the replicator dynamic of (Sethi and Franke 1995). The Replicator Equilibrium Dynamics (RED) couples the price dynamics of a cobweb model with predictor selection governed by an evolutionary replicator dynamic. We show that the RED supports the main conclusio...

The increasing public attention on green products prompted firms and government to focus on the design and manufacturing of these products. This study focuses on a supply chain system that consists of three members, namely, supplier, manufacturer, and government, and then investigates the effects of government subsidies on social welfare and the profits of supply chain members. We utilize game ...

Continuum limits in the form of stochastic differential equations are typically used theoretical population genetics to account for genetic drift or more generally, inherent randomness model. In evolutionary game theory and ecology, however, this method is less frequently study demographic stochasticity. Here, we review use continuum ecology evolution. Starting with an individual-based model, d...

Understanding if and how mutants reach fixation in populations is an important question in evolutionary biology. We study the impact of population growth has on the success of mutants. To systematically understand the effects of growth we decouple competition from reproduction; competition follows a birth-death process and is governed by an evolutionary game, while growth is determined by an ex...