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Recent empirical studies indicate that improvements in product conformance quality exhibit learning-by-doing patterns. We address quality improvement in a competitive duopoly market for partially substitutable products characterized by levels of quality that are not necessarily identical. The products’ quality is described with a hazard rate that can be improved both by accumulating production experience (autonomous learning) and quality improvement efforts (induced learning). Given that defective items are fully reimbursable and the demands exhibit increasing returns to scale, we derive Nash equilibrium pricing and induced learning effort dynamic policies. We show that when the effectiveness of autonomous learning prevails over the effectiveness of efforts in induced learning, equilibrium prices gradually grow over time; the trend is quite the opposite when autonomous learning is less effective than induced learning.

We explore the economic and environmental impacts of market structures (competition or integration at vertical and horizontal levels). We consider a bilateral duopoly consisting of two manufacturers and two retailers in which each manufacturer offers a wholesale price contract to the respective retailer. The manufacturers decide on wholesale prices and abatement efforts concerning pollution emissions related to manufacturing processes, whereas the retailers compete in quantities in the consumer market. To understand the comprehensive effects of market structures on economic competitiveness and environmental sustainability, we examine a measure of eco‐friendly social welfare, which is the ratio of social welfare and environmental pollution. Interestingly, we find that the market structures that have been believed to be more efficient are less efficient from a broader perspective: (1) double marginalization can generate higher eco‐friendly social welfare, and (2) horizontal competition between firms can result in lower eco‐friendly social welfare. Although vertical integration and horizontal competition yield greater social welfare by facilitating more production activities, these market structures often fail to induce sufficient abatement efforts to balance the polluting effect of the large volume, resulting in more significant environmental degradation. We also show that, despite the pollution‐curbing effect, higher emission penalties can result in less eco‐friendly social welfare. They can even curtail the abatement efforts of firms under particular circumstances. When products become more substitutable, the eco‐friendly social welfare can decrease depending upon the market structure.

This research investigates the impact of both horizontal and vertical competition, on the one hand, and strategy types (commitment-based versus contingent-based equilibrium strategies), on the other hand, on the pollution accumulated by two supply chains over time. We consider a two-stage game model where two manufacturers and two retailers are involved in a wholesale price contract, in order to supply the demand over a finite time horizon. In the first stage of the game, the manufacturers set their respective optimal transfer prices. During the second stage, polluting emissions are created over time in proportion with demand, which is controlled by the retailers’ respective consumer prices. In this stage, the manufacturers are involved in emissions abatement. In this setup, we seek to identify the combination of market structure and strategy type that leads the two supply chains to generate the lowest pollution intensity and the highest level of abatement intensity.

This paper investigates how current and future generations are affected by commitment-based Nash equilibrium environmental strategies when the environmental absorption efficiency is susceptible to switch from a pollution sink to a source. We formulate a two-player differential game model of transboundary pollution that includes the environmental absorption efficiency as a state variable that can be enhanced thanks to restoration efforts. Based on a logarithmic specification for the instantaneous revenue function, we characterize the cooperative solution and the commitment-based Nash equilibrium strategy, and examine their differences in terms of steady state and transient behavior. We notably show that a commitment-based Nash equilibrium strategy makes it possible to prevent a definitive switching of the environmental absorption efficiency from a pollution sink to a source but imposes greater economic sacrifices on current generations than on future generations. In comparison, the cooperative solution imposes greater sacrifices on current generations in terms of revenues but it imposes lower environmental costs on both current and future generations than commitment-based Nash equilibrium strategy.

It has been shown that learning-by-doing enables firms to reduce marginal production costs, but that this effect weakens due to organizational forgetting. In order to assess the impact of both learning and forgetting on long-term competitiveness and a firm’s profitability, we model an experience accumulation process with depreciation and consider two competing firms that produce fully substitutable products. In this model, unit production costs decrease with the firm’s experience due to the proprietary learning process as well as the spillover of experience from the competing firm. Firms can either share or hide from each other their information about the state of their respective experience throughout the game. We found that in an equilibrium steady state, if the organizational forgetting is sufficiently large (larger than the spillover rate value), then information sharing, compared to information hiding, results both in less competitiveness and increased profits for firms. Conversely, if the organizational forgetting is small and the spillover opportunities are relatively large, then information sharing promotes both long term competitiveness and firm profits. Accordingly, firms are better off in the long term by deliberately limiting (expanding) their experience accumulation process whenever organizational forgetting is relatively large (small). A high ability of proprietary learning, however, can interfere in this relationship so that limiting the firms’ experience process will always be compatible with higher profitability.

The primary issue in this paper is to determine whether mobility restrictions or securing social interactions is most effective in countering an epidemic disease that spreads also via asymptomatic transmission. We develop an optimal control policy model wherein i) treatment capabilities are endogenous, ii) the social loss due to disease-related deaths is part of the tradeoff in terms of health and social welfare perspectives, iii) the policymaker's inability to counter the disease gives rise to growing popular discontent over time, and iv) non-therapeutic intervention policy engenders social fatigue over time. We also allow for partial immunity upon recovery. In many ways, our model applies to the recent pandemic caused by the SARS-CoV-2 virus. In this setup, we identify which non-therapeutic policy option between mobility restrictions or securing social interactions most effectively minimizes both the impact of policymaker’s inability and the ensuing popular discontent and social fatigue.

The objective of this chapter is to study how wholesale price and revenue sharing contracts affect operations and marketing decisions in a supply chain under different dynamic informational structures.We suggest a differential game model of a supply chain consisting of a manufacturer and a single retailer that agree on the contract parameters at the outset of the game. The model includes key operational and marketing activities related to a single product in the supply chain. The manufacturer sets a production rate and the rate of advertising efforts while the retailer chooses a purchase rate and the consumer price. The state of the game is summarized in the firms' backlogs and the manufacturer's advertising goodwill. Depending on whether the supply chain members have and share state information, they may either make decisions contingent on the current state of the game (feedback Nash strategy), or precommit to a plan of action during the whole game (open-loop Nash strategy). Given a contract type, the impact of the availability of information regarding the state of the game on the firms' decisions and payoffs is investigated. It is shown that double marginalization can be better mitigated if the supply chain members adopt a contingent strategy under a wholesale price contract and a commitment strategy under a revenue sharing contract.

We consider an industry consisting of a large number of firms producing substitutable products and engaged in a dynamic Cournot-type competition. The firms are able to reduce their marginal production costs by accumulating their own experience as well as the experience spillovers from other firms. In particular, firms accumulate production experience through proprietary learning, which, however, depreciates over time. We determine steady-state Nash equilibrium policies that are based on the assumption that the firms do not have precise information about each competitor and therefore are unable to respond to a specific firm’s dynamics. The firms, however, do react to overall industry trends. We show that in such a case, though the information used for production control is incomplete, in the long run the firms tend to the output they would converge to under complete information. We also find that industry growth due to more firms entering the market results in decreasing long-run equilibrium output of each firm when the depreciation of experience is higher than the rate of spillovers. Otherwise, the opposite result can emerge, i.e., the steady-state output will grow.

We investigate how the relationship between economic growth and pollution is affected by the source of pollution: production or consumption. We are interested in polluting waste that cannot be naturally absorbed, but for which recycling efforts aim to avoid massive pollution accumulation with harmful consequences in the long run. We distinguish the cases where recycling efforts are capital-improving or capital-neutral. Based on both environmental and social welfare perspectives, we determine how the interaction between growth and polluting waste accumulation is affected by the source of pollution, i.e., either consumption or production, and by the fact that recycling may or may not act as an income generator, i.e., either capital-improving or capital-neutral recycling efforts. Several new results are extracted regarding optimal recycling policy and the Environmental Kuznets Curve. Beside the latter concern, we show both analytically and numerically that the optimal control of waste through recycling allows to reaching larger (resp., lower) consumption and capital stock levels under consumption-based waste compared to production-based waste while the latter permits to reach lower stocks of waste through lower recycling efforts.

In the literature on marketing models, the assumption of mixed word-of-mouth has been limited to the Bass diffusion model. Yet explicit leveraging of the originating factors of such assumption is lacking. Apart from that example, mixed word-of-mouth has been disregarded in contagion sales models. This paper bridges the gap by suggesting a sales model, where both positive and negative word-of-mouth affect the attraction rate of new customers, along with advertising. The difference between positive and negative word-of-mouth is based on the distinction between satisfied and dissatisfied current customers, which is supposed to depend on conformance quality. A primary issue in this paper is to determine how a firm should determine the optimal intertemporal trade-off between investing in advertising-dependent word-of-mouth and quality-dependent word-of-mouth. To address this issue, a contagion sales model is suggested where mixed autonomous word-of-mouth alone can lead to either commercial success or failure of a given brand.

OS; International audience; We study an optimal AK-like model of capital accumulation and growth in the presence of a negative environmental externality in the tradition of Stokey (Int Econ Rev 39(1):1–31, 1998). Both production and consumption activities generate polluting waste. The economy exerts a recycling effort to reduce the stock of waste. Recycling also generates income, which is fully devoted to capital accumulation. The whole problem amounts to choosing the optimal control paths for consumption and recycling to maximize a social welfare function that notably includes the waste stock and disutility from the recycling effort. We provide a mathematical analysis of both the asymptotic behavior of the optimal trajectories and the shape of transition dynamics. Numerical exercises are performed to illustrate the analysis and to highlight some of the economic implications of the model. The results suggest that when recycling acts as an income generator, (1) a contraction of both the consumption and capital stock is observed in the long run after an expansion phase; (2) whether polluting waste is predominantly due to production or consumption, greater consumption and lower capital stock are obtained in the long run compared with the situation when recycling does not create additional income; (3) greater recycling effort and lower stock of waste are resulted in the long run.