This paper considers the tax treatment of marriage implied by the Tax Reform Act of 1986. It is shown, first, that the maximum marriage subsidy varies erratically and widely over a range comparable to that in the prereform tax system. Second, the maximum marriage penalty varies erratically, but...

In linear-quadratic control (LQC) problems with singular control cost matrix and/or singular transition matrix, we derive a reduction of the dimension of the Riccati matrix, simplifying iteration and solution. Employing a novel transformation, we show that, under a certain rank condition, the...