Debt stabilization games in the presence of risk premia

As a result of the recent financial crisis and the ensuing economic recession, fiscal deficits have soared in many OECD countries. As a consequence, government debt has been on the rise again after a period of stable or declining government debt. In this paper we analyze debt stabilization in a country that features endogenous risk premia, imposed by financial markets that evaluate the probability of debt default by governments. Endogenous risk premia arise by assuming, e.g., simple linear relations between risk premia and the level of debt. As a result the real interest rate on government debt can be written as a constant (measuring the risk-free real interest rate corrected for real output growth) plus an endogenous risk premium that depends on the debt level. We bring such an endogenous risk premium into Tabellini (1986) model and analyze the impact of it. This gives rise to a non-linear differential game. We solve this game for both a cooperative setting and a non-cooperative setting. The non-cooperative game is solved under an open-loop information structure. We present a bifurcation analysis w.r.t. the risk premium parameter.     

Alternative utility functions: review,analysis and comparison

The paper reviews the development of von Neumann and Morgenstern (vNM) utility theory. Kahneman and Tversky’s (KT’s) prospect theory is introduced. The vNM utility function is compared and contrasted with KT’s value function. We prove the uniqueness of two popular utility functions. First, we show that all power utility functions possess constant RRA. And, we show that all exponential utility functions have constant ARA. The paper concludes by discussing applications, strengths and weaknesses of various utility functions.     

Project Valuation With Time-Varying Cash Flows: A Bayesian Approach

This article investigates the valuation of a project when the distributions of cash flows vary over time. The decision maker is assumed to be a Bayesian decision maker under uncertainty. Using the dynamic programming principle of backward induction and assuming that the capital asset pricing model is valid in each time period, we derive the project's valuation formulas and systematic risks, and investigate their characteristics. Our valuation formulas embed a Bayesian learning effect and differ from the traditional textbook capital budgeting formulas.     

Operationalising a resilience approach to adapting an urban delta to uncertain climate changes

Climate change may pose considerable challenges to coastal cities, particularly in low-lying urban deltas. Impacts are, however, associated with substantial uncertainties. This paper studies an uncertainty-robust adaptation strategy: strengthening the resilience of the impacted system. This approach is operationalised for the city of Rotterdam, using literature study, interviews, and a workshop. Potential impacts have been explored using national climate statistics and scenarios and a set of ‘wildcards’ (imaginable surprises). Sea level rise, particularly in combination with storm surge, and enduring heat and drought are the most relevant potential stresses in the area. These can lead to damage, loss of image, and societal disruption. Unclear responsibilities enhance disruption. ‘Resilience principles’ made the concept of resilience sufficiently operational for local actors to explore policy options. Useful principles for urban resilience include: homeostasis, omnivory, high flux, flatness, buffering, redundancy, foresight and preparedness/planning, compartmentalisation, and flexible planning/design. A resilience approach makes the system less prone to disturbances, enables quick and flexible responses, and is better capable of dealing with surprises than traditional predictive approaches. Local actors frame resilience as a flexible approach to adaptation that would be more suitable and tailored to local situations than rigid top-down regulations. In addition to a change in policy, it would require a more pro-active mentality among the population.