Maintaining the security of critical infrastructure networks is vital for a modern economy. This paper examines a game-theoretic model of attack and defense of a network in which the defender's objective is to maintain network connectivity and the attacker's objective is to destroy a set of...

Theoretical and experimental studies of noncooperative games increasingly recognize Nash equilibrium as a limiting outcome of players repeated interaction. This note, while sharing that view, illustrates and advocates combined use of convex optimization and differential equations, the purpose...

We study adaptation to climate change in a federalist setting. To protect themselves against an increase in flood risk, regional governments choose among adaptation measures that vary with respect to their costs, the level of protection they offer, and the presence and nature of spillovers to...

This paper explores the reluctance of men (women) to acknowledge or recognise the work, comments, and claims of new ideas by other men (women) via widespread and intense demonstrations of indifference. Instances like desk rejections by journals by not allowing papers to reach a review stage,...

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...

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...

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...

I consider a contest in which the quantity of output is rewarded and another in which the quality of output is rewarded. The output in the quality contest plays a dual role. It counts in the quality contest but it is also converted into quantity-equivalent output to obtain total output in the...

This study shows the uniqueness of Nash equilibrium in the model of multiple voluntarily supplied public goods with potential contributors possessing different Cobb-Douglas preferences. This study provides a sufficient condition for uniqueness using graph theory. This sufficient condition allows...

The purpose of this paper is to model the influence of Kantian moral scruples in a dynamic environment. Our objectives are two-fold. Firstly, we investigate how a Nash equilibrium among agents who have moral scruples may ensure that the exploitation of a common property renewable resource is...