There is now a very large literature on dynamic models in marketing. In a narrow sense, dynamics can be understood as a mechanism whereby past product purchases affect a person's current evaluation of the utility he/she will obtain from buying a product. Most of the prior literature has focussed...

Empirical studies show that years of schooling are positively correlated with good health. The implication may go from education to health, from health to education, or from factors that influence both variables. We formalize a model that determines an individual's demand for knowledge and...

The dependence of benefit on the retirement age (the schedule) is an important feature in any public pension system. The nonfinancial defined contribution (NDC) pension system has recently become popular mainly because of its allegedly actuarial fairness. Using the framework of mechanism design...

Hyperbolic discounting with naiveté is widely believed to provide a better explanation than exponential discounting of why people borrow so much and why they wait so long to save for retirement. We reach a different set of conclusions. We show that if financial planning is enriched to include...

In this paper I extend the well known result that a hyperbolically discounting agent postpones costs into the future. If society has hyperbolic inter-temporal preferences, it may be optimal from an ex ante point of view to postpone structural change from a polluting to a non polluting production...

Creditors, banks and bank regulators 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...

Banks should evaluate whether a borrower is likely to default. The author applies 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...

In an incomplete market we study the optimal consumption-portfolio decision of an investor with recursive preferences of Epstein-Zin type. Applying a classical dynamic programming approach, we formulate the associated Hamilton-Jacobi-Bellman equation and provide a suitable verification theorem....

Dybvig [1995] finds optimal spending and investment strategies for a perpetual endowment that has no tolerance for spending declines. His spending rule is a ratchet --- spending never decreases, but has a substantial chance of increasing. We find the ratchet consumption rule for an investor with...

We establish a connection between continuous-time recursive utility and the notion of consistency studied, in particular, in connection with the non-linear objective mean-variance. We propose a time-global optimization problem and show that the optimal time-consistent solution to this...