We investigate the possibility of using public firms to regulate polluting emissions in a Cournot oligopoly where production takes place at constant returns to scale and entails a negative environmental externality. We model the problem as a differential game and investigate (i) the Cournot-Nash...

We propose a simple method for characterising analytically the feedback solution of oligopoly games with capital accumulation à la Solow-Swan. As a result, it becomes possible to contrast the feedback equilibrium against the corresponding one generated by open-loop information. Our method...

We analyze an Open Innovation process in a Cournot duopoly using a differential game approach where knowledge spillovers are endogenously determined via the R&D process. The game produces multiple steady states, allowing for an asymmetric solution where a firm may trade off the R&D investment...

We revisit the debate on the optimal number of firms in the commons in a differential oligopoly game in which firms are either quantity-or price-setting agents. Production exploits a natural resource and involves a negative externality. We calculate the number of firms maximising industry...

We characterise the subgame perfect equilibrium of a differential market game with hyperbolic inverse demand where firms are quantity-setters and accumulate capacity over time à la Ramsey. The related Hamilton-Jacobi-Bellman are solved in closed form both on infinite and on finite horizon...

A differential oligopoly game with advertising is investigated, where different dynamics occur between two groups of agents, the former playing a competitive Nash game and the latter cooperating as a cartel. Sufficient conditions for stability and a qualitative analysis of the profit ratio and...

The established view on oligopolistic competition with environmental externalities has it that, since firms neglect the external effect, their incentive to invest in R&D for pollution abatement is nil unless they are subject to some form of environmental taxation. We take a dynamic approach to...

In recent years Open Innovation (OI) processes have been receiving growing attention from the empirical and theoretical economic literature, where a debate is taking place on the aspects of complementarity or substitutability between internal R&D and OI spillover. By means of a differential game...

We investigate a linear state dfferential game describing an asymmetric Cournot duopoly with capacity accumulation à la Ramsey and a negative environmental externality (pollution), in which one of the firms has adopted corporate social responsibility (CSR) in its statute, and therefore includes...

A class of state-redundant differential games games is detected, where players can be partitioned into two groups, so that the state dynamics and the payoff functions of all players are additively separable w.r.t. controls and states of any two players belonging to different groups. We prove...