Integrability and the demand for monetary assets: an alternative approach to an old problem

This note provides necessary and su¢cient conditions for some speci…c multidimensional consumer’s surplus welfare measures to be well posed (path independent). We motivate the problem by investigating partial-equilibrium measures of the welfare costs of in‡ation. The results can also be used for checking path independence of alternative de…nitions of Divisia indexes of monetary services. Consumer theory classically approaches the integrability problem by considering compensated demands, homothetic preferences or quasi-linear utility functions. Here, instead, we consider demands of monetary assets generated from a shopping-time perspective. Paralleling the above mentioned procedure, of …nding special classes of utility functions that satisfy the integrability conditions, we try to infer what particular properties of the transacting technology could assure path independence of multidimensional welfare measures. We show that the integrability conditions are satis…ed if and only if the transacting technology is blockwise weakly separable. We use two examples to clarify the point.

Contratações Públicas no Setor de Resíduos Sólidos: Um estudo sobre as formas de contratação, delegação e gestão das atividades econômicas e serviços públicos relacionados ao setor de resíduos sólidos

Existem diversas formas no ordenamento jurídico brasileiro mediante as quais o poder público pode contratar, delegar ou gerir a prestação de serviços que envolvam entes privados. São elas os contratos de mera prestação de serviços regidos pela Lei 8.666/93 ou pela Lei 10.520/02; os convênios; as concessões comuns de serviço público regidas pela Lei nº 8.987/95; as parcerias público-privadas tuteladas pela Lei 11.079/04 e os consórcios públicos regidos pela Lei nº 11.107/05. O presente trabalho visa explorar como as contratações públicas ocorrem no setor de resíduos sólidos. Para isso, em um primeiro momento foi analisada a natureza jurídica dos serviços relacionados ao manejo de resíduos. Em um segundo momento, foi traçado um panorama sobre as modelagens contratuais disponíveis ao poder público para realizar essas contratações, bem como os possíveis problemas levantados pela doutrina no uso desses moldes. Por último, foram analisados casos concretos com o fim de averiguar se os referidos problemas são levados em consideração pelo Administrador Público ao elaborar os editais e contratos para prestação desses serviços pela iniciativa privada.

Joint dynamic probabilistic constraints with projected linear decision rules

We consider multistage stochastic linear optimization problems combining joint dynamic probabilistic constraints with hard constraints. We develop a method for projecting decision rules onto hard constraints of wait-and-see type. We establish the relation between the original (in nite dimensional) problem and approximating problems working with projections from di erent subclasses of decision policies. Considering the subclass of linear decision rules and a generalized linear model for the underlying stochastic process with noises that are Gaussian or truncated Gaussian, we show that the value and gradient of the objective and constraint functions of the approximating problems can be computed analytically.

Non-asymptotic confidence bounds for the optimal value of a stochastic program

We discuss a general approach to building non-asymptotic confidence bounds for stochastic optimization problems. Our principal contribution is the observation that a Sample Average Approximation of a problem supplies upper and lower bounds for the optimal value of the problem which are essentially better than the quality of the corresponding optimal solutions. At the same time, such bounds are more reliable than “standard” confidence bounds obtained through the asymptotic approach. We also discuss bounding the optimal value of MinMax Stochastic Optimization and stochastically constrained problems. We conclude with a small simulation study illustrating the numerical behavior of the proposed bounds.