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We present and analyze a life cycle model of a scientific career to investigate how the budget available for research related activities affects a scientist’s long run success in academia. Recognizing that reputation has a positive impact on obtaining research funds as well as on producing scientific output, we determine the optimal efforts of a scientist with respect to applying for research grants and costly science related activities to improve reputation, such as networking and inviting guest researchers, under the assumption that the total extent of these activities is limited by a time budget. We find that the optimal solution is history-dependent and study four different career paths which differ with respect to the initial reputation and the initial financial means to identify the determinants of success and failure in academia. It is shown that the extent to which a scientist finds the results of his or her work rewarding, has a substantial impact on whether the scientist will build up a successful career.

This paper addresses the spatial evolution of countries accounting for economics, geography and (military) force. Economic activity is spatially distributed following the AK model with the output being split into consumption, investment, transport costs and military (for defense and expansion). The emperor controls the military force subject to the constraints imposed by the economy but also the geography (transport costs, border length) and the necessity to satisfy the needs of the population. The border changes depending on how much pressure the emperor can muster to counter the pressure of neighboring countries. The resulting dynamic process determines a country’s size over time. The model leads to multiple steady states, large empires and small countries being separated by a threshold and collapse. The resulting patterns can be linked to historical observations.

Flooding events can affect businesses close to rivers, lakes or coasts. This paper provides an economic partial equilibrium model, which helps to understand the optimal location choice for a firm in flood risk areas and its investment strategies. How often, when and how much are firms willing to invest in flood risk protection measures? We apply Impulse Control Theory and develop a continuation algorithm to solve the model numerically. We find that, the higher the flood risk and the more the firm values the future, i.e. the more sustainable the firm plans, the more the firm will invest in flood defense. Investments in productive capital follow a similar path. Hence, planning in a sustainable way leads to economic growth. Sociohydrological feedbacks are crucial for the location choice of the firm, whereas different economic settings have an impact on investment strategies. If flood defense is already present, e.g. built up by the government, firms move closer to the water and invest less in flood defense, which allows firms to generate higher expected profits. Firms with a large initial productive capital surprisingly try not to keep their market advantage, but rather reduce flood risk by reducing exposed productive capital.