Tipping of a natural system, entailing a loss of ecosystem services, may be prevented by stable partial cooperation. The presence of tipping points reverses the grim story that a high level of cooperation is hard to achieve and leaves large possible gains of cooperation. We investigate a tipping...

We define a differential game of public investment with a discontinuous Markovian strategy space. The best response correspondence for the game is well-behaved: a best response exists and uniquely maps almost all profiles of opponents’ strategies back to the strategy space. Our chosen strategy...

We characterise the entire set of symmetric stationary Markov-perfect Nash equilibria (MPE) in a differential game of public good investment, using the canonical problem of climate change as an example. We provide a sufficient and necessary condition for MPE and show how the entire set of MPE is...

Tipping of a natural system, entailing a loss of ecosystem services, may be prevented by stable partial cooperation. The presence of tipping points reverses the grim story that a high level of cooperation is hard to achieve and leaves large possible gains of cooperation. We investigate a tipping...

We define a differential game of public investment with a discontinuous Markovian strategy space. The best response correspondence for the game is well-behaved: a best response exists and uniquely maps almost all profiles of opponents' strategies back to the strategy space. Our chosen strategy...

We analyze how the threat of a potential future regime shift affects optimal management. We use a simple general growth model to analyze four cases that involve combinations of stock collapse versus changes in system dynamics, and exogenous versus endogenous probabilities of regime shift. Prior...