Strategies for constructing a Markov decision chain approximating a continuous-time finite-horizon optimal control problem are investigated. Some simple, analytically soluble, examples are treated and low computational complexity is reported. Extensions to the method and implementation are...

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...

This paper relates recursive utility in continuous time to its discrete-time origins and provides a rigorous and intuitive alternative to a heuristic approach presented in [Duffie, Epstein 1992], who formally define recursive utility in continuous time via backward stochastic differential...

This paper describes a method for solving a class of forward-looking Markov-switching Rational Expectations models under noisy measurement, by specifying the unobservable expectations component as a general-measurable function of the observable states of the system, to be determined optimally...