This paper studies an optimal investing problem for a retiree facing longevity risk and living standard risk. We formulate the as portfolio choice under time-varying capacity constraint. derive investment strategy specific condition on model parameters in terms of second-order ordinary differential equations. demonstrate endogenous number that measures expected value to sustain spending post-re...

<p style='text-indent:20px;'>This study considers a seller who sells single product to strategic consumers sensitive both price and quality over two periods: advance spot. Customers' valuations are uncertain in the first period revealed time. The seller's decisions include whether offer and, if so, of product, prices periods, ration capacity period. analysis is separated into cases: unlim...