A note on Ramsey and Corlett-Hague rules

Ramsey-type results dictate that an optimal pattern of taxes must tax more heavily those goods which have a more inelastic(compensated)demand. Corlett and Hague (1953) investigated the optimal revenue-neutral movements from an initial uniform tax. They obtained that the goods (relatively) more complementary to the untaxed good (leisure)should see their taxes increased-which in a revenue-neutral seeting implies that the other goods see their taxes disminished. In a three-good economy (with only two goods being subject to taxation) the Ramsey-type rule and the Corlett-Hague result can be easily related

Lie Algebroids in Classical Mechanics and Optimal Control

We review some recent results on the theory of Lagrangian systems on Lie algebroids. In particular we consider the symplectic and variational formalism and we study reduction. Finally we also consider optimal control systems on Lie algebroids and we show how to reduce Pontryagin maximum principle.Comment: This is a contribution to the Proc. of workshop on Geometric Aspects of Integrable Systems (July 17-19, 2006; Coimbra, Portugal), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA