How should governmental policy be adjusted to guarantee a positive account for each generation, taking into account welfare and equity across age classes? Such a contract depends on the dynamic maintenance of a positive account for every present and future generation and can be achieved by...

When the dependency ratio inactive/active increases to intolerable proportions, the question arises as to how and when pay-as-you-go social security systems can be controlled so as to safeguard a decent way of life to everyone. Between uncertainty linked to wages and the interest rate, and room...

Co-variates are incorporated into a general model of non-linear structured population dynamics. The proof of the existence and uniqueness of the solutions results from those of a special set, the invariance envelope. It is also valid in presence of state constraints, and solutions need only to...

The “Montagnes Russes” algorithm for finding the global minima of a lower semi-continuous function (thus involving state constraints) is a descent algorithm applied to an auxiliary function whose local and global minima are the global minima of the original function. Although this auxiliary...

The “Montagnes Russes” algorithm for finding the global minima of a lower semi-continuous function (thus involving state constraints) is a descent algorithm applied to an auxiliary function whose local and global minima are the global minima of the original function. Although this auxiliary...

This study reconsiders the problem of hedging a liability by a portfolio made of a riskless asset and an underlying (underlying).