One invariant measure and different Poisson brackets for two nonholonomic systems

We discuss the nonholonomic Chaplygin and the Borisov-Mamaev-Fedorov systems, for which symplectic forms are different deformations of the square root from the corresponding invariant volume form. In both cases second Poisson bivectors are determined by $L$-tensors with non-zero torsion on the configurational space, in contrast with the well known Eisenhart-Benenti and Turiel constructions.Comment: 18 pages, LaTeX with AMSfont

Le triangle de Weber : une solution geometrique

Available at INIST (FR), Document Supply Service, under shelf-number : DO 1654 / INIST-CNRS - Institut de l'Information Scientifique et TechniqueSIGLEFRFranc

TAXATION AND CENTRALISED WAGE SETTING: THE CASE OF ENDOGENOUS LABOUR SUPPLY

The implications of centralised wage setting for the relationship between taxation, wages and employment are studied allowing for endogenous adjustment in work hours. We show that centralisation promotes wage moderation, makes wages and employment less sensitive to changes in wage taxation and reduces the hours worked. With an individual supply of working hours, a wage tax can even improve employment if wage setting is centralised and marginal utility from a public good is sufficiently high. Moreover, if a profit tax is used to finance public expenditure, higher tax reduces wages and improves employment. Copyright (c) Scottish Economic Society 2005.