A finite-population revenue management model and a risk-ratio procedure for the joint estimation of population size and parameters

Many dynamic revenue management models divide the sale period into a finite number of periods T and assume, invoking a fine-enough grid of time, that each period sees at most one booking request. These Poisson-type assumptions restrict the variability of the demand in the model, but researchers and practitioners were willing to overlook this for the benefit of tractability of the models. In this paper, we criticize this model from another angle. Estimating the discrete finite-period model poses problems of indeterminacy and non-robustness: Arbitrarily fixing T leads to arbitrary control values and on the other hand estimating T from data adds an additional layer of indeterminacy. To counter this, we first propose an alternate finite-population model that avoids this problem of fixing T and allows a wider range of demand distributions, while retaining the useful marginal-value properties of the finite-period model. The finite-population model still requires jointly estimating market size and the parameters of the customer purchase model without observing no-purchases. Estimation of market-size when no-purchases are unobservable has rarely been attempted in the marketing or revenue management literature. Indeed, we point out that it is akin to the classical statistical problem of estimating the parameters of a binomial distribution with unknown population size and success probability, and hence likely to be challenging. However, when the purchase probabilities are given by a functional form such as a multinomial-logit model, we propose an estimation heuristic that exploits the specification of the functional form, the variety of the offer sets in a typical RM setting, and qualitative knowledge of arrival rates. Finally we perform simulations to show that the estimator is very promising in obtaining unbiased estimates of population size and the model parameters.

Tax reforms and inequality: theoretical and empirical implications

In this paper we examine the effect of tax policy on the relationship between inequality and growth in a two-sector non-scale model. With non-scale models, the longrun equilibrium growth rate is determined by technological parameters and it is independent of macroeconomic policy instruments. However, this fact does not imply that fiscal policy is unimportant for long-run economic performance. It indeed has important effects on the different levels of key economic variables such as per capita stock of capital and output. Hence, although the economy grows at the same rate across steady states, the bases for economic growth may be different.The model has three essential features. First, we explicitly model skill accumulation, second, we introduce government finance into the production function, and we introduce an income tax to mirror the fiscal events of the 1980¿s and 1990¿s in the US. The fact that the non-scale model is associated with higher order dynamics enables it to replicate the distinctly non-linear nature of inequality in the US with relative ease. The results derived in this paper attract attention to the fact that the non-scale growth model does not only fit the US data well for the long-run (Jones, 1995b) but also that it possesses unique abilities in explaining short term fluctuations of the economy. It is shown that during transition the response of the relative simulated wage to changes in the tax code is rather non-monotonic, quite in accordance to the US inequality pattern in the 1980¿s and early 1990¿s.More specifically, we have analyzed in detail the dynamics following the simulation of an isolated tax decrease and an isolated tax increase. So, after a tax decrease the skill premium follows a lower trajectory than the one it would follow without a tax decrease. Hence we are able to reduce inequality for several periods after the fiscal shock. On the contrary, following a tax increase, the evolution of the skill premium remains above the trajectory carried on by the skill premium under a situation with no tax increase. Consequently, a tax increase would imply a higher level of inequality in the economy

Is there a connection between the tax administration and the political power?

This paper offers empirical evidence from Spain of a connection between the tax administration and the political power. Firstly, the regional tax administration is not immune to the budgetary situation of regional government, and tends to exert a greater (or lesser) effort in tax collection the greater (or lower) the (expected) public deficit. At the same time, the system of unconditional grants from the central layer of government provokes an ¿income effect¿ which disincentivises the efforts of the tax administration. Secondly, these efforts also decrease when the margin to lose a parliamentary seat in an electoral district is cut, although the importance of this disincentive decreases according to the parliamentary strength of the incumbent

Aggregate shocks or vertical tax interdependence? Evidende from gasoline and cigarettes

[cat] Besley i Rosen -1998- van ser els primers autors en estimar empíricament la rellevància de les externalitats impositives verticals. Aquests autors varen fer-ho per al cas dels impostos sobre la benzina i el tabac, en concret, per al cas dels EEUU. Ara bé, no varen tenir en compte les diferències en el nivell de vida entre Estats: àrees amb un nivell elevat paguen menys en termes reals que àrees amb un nivell de vida baix, doncs l'impost unitari sobre la benzina o sobre el tabac no difereix d'acord amb l'Estat on l'impost s'aplica. En conseqüència, proposem que la competència impositiva vertical sigui estimada deflactant totes les variables monetàries utilitzant l'anomenat "House Price Index (HPI)", el qual està disponible al nivell dels Estats. Això genera una variable impositiva federal expressada en termes reals i que presenta variació entre Estats. Aquesta estratègia empírica ens permet diferenciar entre la interdependència vertical entre els tipus impositius federals i els estatals de shocks agregats al llarg del temps, utilitzant dades per als EEUU durant el període 1975 a 2006 per a benzina i tabac. Trobem una nivell significatiu de competència impositiva horitzontal, la qual és més elevada en el cas del tabac, però en cap cas reacció impositiva vertical. Els resultats són robustos al període analitzat.

Tax differentials and agglomeration economies in intraregional firm location

This paper analyses empirically how differences in local taxes affect the intraregional location of new manufacturing plants. These effects are examined within the random profit maximization framework while accounting for the presence of different types of agglomeration economies (localization/ urbanization/ Jacobs¿ economies) at the municipal level. We look at the location decision of more than 10,000 establishments locating between 1996 and 2003 across more than 400 municipalities in Catalonia, a Spanish region. It is necessary to restrict the choice set to the local labor market and, above all, to control for agglomeration economies so as to identify the effects of taxes on the location of new establishments.

Tax differentials and agglomeration economies in intraregional firm location

This paper analyses empirically how differences in local taxes affect the intraregional location of new manufacturing plants. These effects are examined within the random profit maximization framework while accounting for the presence of different types of agglomeration economies (localization/ urbanization/ Jacobs¿ economies) at the municipal level. We look at the location decision of more than 10,000 establishments locating between 1996 and 2003 across more than 400 municipalities in Catalonia, a Spanish region. It is necessary to restrict the choice set to the local labor market and, above all, to control for agglomeration economies so as to identify the effects of taxes on the location of new establishments.

Aggregate shocks or vertical tax interdependence? Evidende from gasoline and cigarettes

[cat] Besley i Rosen -1998- van ser els primers autors en estimar empíricament la rellevància de les externalitats impositives verticals. Aquests autors varen fer-ho per al cas dels impostos sobre la benzina i el tabac, en concret, per al cas dels EEUU. Ara bé, no varen tenir en compte les diferències en el nivell de vida entre Estats: àrees amb un nivell elevat paguen menys en termes reals que àrees amb un nivell de vida baix, doncs l'impost unitari sobre la benzina o sobre el tabac no difereix d'acord amb l'Estat on l'impost s'aplica. En conseqüència, proposem que la competència impositiva vertical sigui estimada deflactant totes les variables monetàries utilitzant l'anomenat "House Price Index (HPI)", el qual està disponible al nivell dels Estats. Això genera una variable impositiva federal expressada en termes reals i que presenta variació entre Estats. Aquesta estratègia empírica ens permet diferenciar entre la interdependència vertical entre els tipus impositius federals i els estatals de shocks agregats al llarg del temps, utilitzant dades per als EEUU durant el període 1975 a 2006 per a benzina i tabac. Trobem una nivell significatiu de competència impositiva horitzontal, la qual és més elevada en el cas del tabac, però en cap cas reacció impositiva vertical. Els resultats són robustos al període analitzat.

Is there a connection between the tax administration and the political power?

This paper offers empirical evidence from Spain of a connection between the tax administration and the political power. Firstly, the regional tax administration is not immune to the budgetary situation of regional government, and tends to exert a greater (or lesser) effort in tax collection the greater (or lower) the (expected) public deficit. At the same time, the system of unconditional grants from the central layer of government provokes an ¿income effect¿ which disincentivises the efforts of the tax administration. Secondly, these efforts also decrease when the margin to lose a parliamentary seat in an electoral district is cut, although the importance of this disincentive decreases according to the parliamentary strength of the incumbent

Tax reforms and inequality: theoretical and empirical implications

In this paper we examine the effect of tax policy on the relationship between inequality and growth in a two-sector non-scale model. With non-scale models, the longrun equilibrium growth rate is determined by technological parameters and it is independent of macroeconomic policy instruments. However, this fact does not imply that fiscal policy is unimportant for long-run economic performance. It indeed has important effects on the different levels of key economic variables such as per capita stock of capital and output. Hence, although the economy grows at the same rate across steady states, the bases for economic growth may be different.The model has three essential features. First, we explicitly model skill accumulation, second, we introduce government finance into the production function, and we introduce an income tax to mirror the fiscal events of the 1980¿s and 1990¿s in the US. The fact that the non-scale model is associated with higher order dynamics enables it to replicate the distinctly non-linear nature of inequality in the US with relative ease. The results derived in this paper attract attention to the fact that the non-scale growth model does not only fit the US data well for the long-run (Jones, 1995b) but also that it possesses unique abilities in explaining short term fluctuations of the economy. It is shown that during transition the response of the relative simulated wage to changes in the tax code is rather non-monotonic, quite in accordance to the US inequality pattern in the 1980¿s and early 1990¿s.More specifically, we have analyzed in detail the dynamics following the simulation of an isolated tax decrease and an isolated tax increase. So, after a tax decrease the skill premium follows a lower trajectory than the one it would follow without a tax decrease. Hence we are able to reduce inequality for several periods after the fiscal shock. On the contrary, following a tax increase, the evolution of the skill premium remains above the trajectory carried on by the skill premium under a situation with no tax increase. Consequently, a tax increase would imply a higher level of inequality in the economy

The effect of tax enforcement on tax elasticities: Evidence from charitable contributions in France

Optimal tax formulas expressed in "sufficient statistics" are usually calibrated under the assumptionthat the relevant tax elasticities are unaffected by other available policy instruments.In practice though, tax authorities have many more instruments than the mere tax rates andtax elasticities are functions of all these policy instruments. In this paper we provide evidencethat tax elasticities are extremely sensitive to a particular policy instrument: the level of taxenforcement. We exploit a natural experiment that took place in France in 1983, when the taxadministration tightened the requirements to claim charitable deductions. The reform led to asubstantial drop in the amount of contributions reported to the administration, which can becredibly attributed to overreporting of charitable contributions before the reform, rather thanto a real change in giving behaviours. We show that the reform was also associated with asubstantial decline in the absolute value of the elasticity of reported contributions. This findingallows us to partially identify the elasticity of overreporting contributions, which is shown tobe large and inferior to -2 in the lax enforcement regime. We further show using bunching oftaxpayers at kink-points of the tax schedule that the elasticity of taxable income also experienceda significant decline after the reform. Our results suggest that optimizing the tax rate fora given tax elasticity when other policy instruments are not optimized can lead to misleadingconclusions when tax authorities have another instrument that could set the tax elasticity itselfat its optimal level as in Kopczuk and Slemrod [2002].

The Conservativeness of the Central Bank when Institutional Quality is Poor

We propose an extension of Alesina and Tabellini 's model (1987) to include corruption, which is understood as the presence of weak institutions collecting revenue through formal tax channels. This paper analyses how conservative should an independent central bank be when the institutional quality is poor. When there are no political distortions, we show that the central bank has to be more conservative than the government, except with complete corruption. In this particular case, the central bank should be as conservative as the government. Further, we obtain that the relationship between the optimal relative degree of conservativeness of the central bank and the degree of corruption is affected by supply shocks. Concretely, when these shocks are not important, the central bank should be less conservative if the degree of corruption increases. However, this result may not hold when the shocks are relevant. JEL classi fication: D6, D73, E52, E58, E62, E63. Keywords: Central Bank Conservativeness; Corruption; Fiscal Policy; Monetary Policy; Seigniorage.

On the tractability of the piecewise-linear approximation for general discrete-choice network revenue management

The choice network revenue management (RM) model incorporates customer purchase behavioras customers purchasing products with certain probabilities that are a function of the offeredassortment of products, and is the appropriate model for airline and hotel network revenuemanagement, dynamic sales of bundles, and dynamic assortment optimization. The underlyingstochastic dynamic program is intractable and even its certainty-equivalence approximation, inthe form of a linear program called Choice Deterministic Linear Program (CDLP) is difficultto solve in most cases. The separation problem for CDLP is NP-complete for MNL with justtwo segments when their consideration sets overlap; the affine approximation of the dynamicprogram is NP-complete for even a single-segment MNL. This is in contrast to the independentclass(perfect-segmentation) case where even the piecewise-linear approximation has been shownto be tractable. In this paper we investigate the piecewise-linear approximation for network RMunder a general discrete-choice model of demand. We show that the gap between the CDLP andthe piecewise-linear bounds is within a factor of at most 2. We then show that the piecewiselinearapproximation is polynomially-time solvable for a fixed consideration set size, bringing itinto the realm of tractability for small consideration sets; small consideration sets are a reasonablemodeling tradeoff in many practical applications. Our solution relies on showing that forany discrete-choice model the separation problem for the linear program of the piecewise-linearapproximation can be solved exactly by a Lagrangian relaxation. We give modeling extensionsand show by numerical experiments the improvements from using piecewise-linear approximationfunctions.

Procedimientos de recaudación en los Estados Unidos

El objetivo del presente trabajo es analizar el procedimiento base de recaudación aplicado por el Internal Revenue Service, la Administración federal de los Estados Unidos de Norteamérica, y alguno de los procedimientos especiales que en el mismo se pueden insertar, con el objetivo de contrastarlo con los procedimientos vigentes en España y destacar sus más señaladas divergencias. Se ha prescindido, pues, de todo lo relativo a las peculiaridades estatales y locales.

Economic ideas and economists in the Parliament in the liberal age: The attempt to implement a tax on incomes in Spain in 1868-1869

[spa] El estudio de la presencia de ideas económicas en los debates parlamentarios se ha convertido recientemente en un objeto importante dentro de la investigación sobre el proceso de institucionalización de la economía política en Europa Occidental en la llamada era liberal. En este marco general, este artículo se centra en el análisis de un caso de particular interés: La relevancia del pensamiento económico y el papel jugado por los economistas en los debates parlamentarios que siguieron a la creación de un nuevo impuesto que trataba de captar la renta personal, que fue lanzado por el ministro de Hacienda Laureano Figuerola en 1868. El artículo intenta demostrar, en primer lugar, que las ideas económicas jugaron efectivamente un papel relevante en las discusiones sobre el impuesto sobre la renta y que la presencia e influencia de los economistas en el Legislativo en este tiempo fue notable. En segundo lugar, que este fue un intento serio de modernizar la estructura fiscal española llevado a cabo por el Gobierno Provisional, el cual trató de diseñar un sistema impositivo capaz de fomentar el crecimiento económico del país.

The reform of the European Energy Tax Directive reform : effect on prices

[spa] Para hacer frente a los riesgos relacionados con la contaminación atmosférica, es ampliamente aceptada la necesidad de instrumentos de política encaminados a reducir las emisiones. La intervención tiene por objeto reducir las conductas contaminantes y incentivar una conducta más respetuosa y el uso de tecnologías más eficientes. La Unión Europea cuenta con dos importantes mecanismos económicos para el control de emisiones a escala europea: la directiva sobre los impuestos energéticos, un instrumento de fiscalidad ambiental aprobado en 2003 que afecta el precio de los productos energéticos, y el sistema de comercio de los derechos de emisiones, introducido en 2005, que afecta directamente a la cantidad de emisiones de CO2. En 2011, la Comisión Europea propuso una nueva versión de la directiva sobre los impuestos energéticos. El objetivo principal de la propuesta es aumentar la eficacia del instrumento a través de una mayor presión fiscal sobre los productos energéticos y de coordinar este instrumento de fiscalidad medioambiental con el sistema de comercio de los derechos de emisiones, para establecer una señal de precio de CO2 coherente para todos los sectores. Sin embargo, en mayo de 2012 el Parlamento Europeo bloqueó la propuesta de la nueva versión del impuesto, y el proceso de actualización se detuvo. La preocupación principal parecía ser el efecto de dicha propuesta en la competitividad, en particular para los sectores que serían los más afectados dado el uso intensivo de los productos energéticos, como el sector del transporte. El objetivo de este estudio es analizar el efecto que la reforma de la directiva sobre los impuestos energéticos podría tener sobre el nivel de precios, en particular en los países de la Unión Europea donde esta reforma implicaría un aumento de los impuestos energéticos. Utilizando datos del proyecto “World Input-Output Database”, la principal conclusión es que el nuevo sistema de impuestos energéticos tendría un impacto muy bajo sobre los precios. Por lo tanto, dado que los precios no serían fuertemente afectados por la reforma, no habrá inconvenientes para la competitividad y implicaciones en términos de distribución, pero, por otro lado, este resultado también implica una baja capacidad de esta reforma para provocar cambios en el consumo y la producción hacia menos presiones ambientales.