In this note we present as well necessary as sufficient conditions for existence of a Pareto optimum for general non-convex differential games. The obtained results are used to analyze the non-convex regular indefinite linear quadratic differential game. For the scalar case an algorithm is...

We survey some recent research results in the field of dynamic cooperative differential games with non-transferable utilities. Problems which fit into this framework occur for instance if a person has more than one objective he likes to optimize or if several persons decide to combine efforts in...

We study the efficient computation of power indices for weighted voting games with precoalitions amongst subsets of players (reflecting, e.g., ideological proximity) using the paradigm of dynamic programming. Starting from the state-of-the-art algorithms for computing the Banzhaf and...

A review of the basic theory of optimal open-source software contributions points to three keyfactors affecting supply: non-pecuniary benefits, future expected monetary returns, and opensourcelicence type...

Real options present a wide topic in investment litterature nowadays. However, despite bigadvances in the single asset investment pricing, the theory is miser of informations aboutproblems involving more than one asset. We show in this paper that using dynamic programming,one can find an...

We develop and solve analytically an investment model with fixed adjust-ment costs and complete irreversibility that reproduces observed investment dynamics at the micro-level. We impose a minimal set of restrictions on technology and uncertainty. Most of the results duplicate or generalize...

This paper estimates a structural dynamic life-cycle model of outmigration where, in each period, immigrants choose whether to work in the host country, not to work but remain in the host country, or outmigrate. The model incorporates several features of existing life-cycle theories of...

The Pessimists and the Optimists disagree whether the US external deficits and the associated buildup of US net foreign liabilities are problems that require urgent attention. A warning signal should be that the debt ratio deviates significantly from the optimal ratio. The optimal debt ratio or...

Banks should evaluate whether a borrower is likely to default. I apply several techniques in the extensive mathematical literature of stochastic optimal control/dynamic programming to derive an optimal debt in an environment where there are risks on both the asset and liabilities sides. The...

Despite favourable ecological and economic results, many developing countries have not yet adopted an integrated pesticide management (IPM). Given rising marginal costs and diminishing marginal benefits from IPM technology transfer, an optimal control framework is used to identify optimal rates...