Dynamic price competition with fixed capacities

Many revenue management (RM) industries are characterized by (a) fixed capacities in theshort term (e.g., hotel rooms, seats on an airline flight), (b) homogeneous products (e.g., twoairline flights between the same cities at similar times), and (c) customer purchasing decisionslargely influenced by price. Competition in these industries is also very high even with just twoor three direct competitors in a market. However, RM competition is not well understood andpractically all known implementations of RM software and most published models of RM donot explicitly model competition. For this reason, there has been considerable recent interestand research activity to understand RM competition. In this paper we study price competitionfor an oligopoly in a dynamic setting, where each of the sellers has a fixed number of unitsavailable for sale over a fixed number of periods. Demand is stochastic, and depending on howit evolves, sellers may change their prices at any time. This reflects the fact that firms constantly,and almost costlessly, change their prices (alternately, allocations at a price in quantity-basedRM), reacting either to updates in their estimates of market demand, competitor prices, orinventory levels. We first prove existence of a unique subgame-perfect equilibrium for a duopoly.In equilibrium, in each state sellers engage in Bertrand competition, so that the seller withthe lowest reservation value ends up selling a unit at a price that is equal to the equilibriumreservation value of the competitor. This structure hence extends the marginal-value conceptof bid-price control, used in many RM implementations, to a competitive model. In addition,we show that the seller with the lowest capacity sells all its units first. Furthermore, we extendthe results transparently to n firms and perform a number of numerical comparative staticsexploiting the uniqueness of the subgame-perfect equilibrium.

The effect of unemployment spells on subsequent wages in Spain

In our analysis we try and recover the wage loss from unemploymentin Spain and see how it is affected by previous unemploymentexperience, unemployment duration, eligibility for unemploymentbenefits, and previous wages. We also study its variations acrossgroups. Our main conclusion is that while there is some evidencethat labour market rigidities tend to lower it, the wage loss ofdisplaced workers is remarkably high: more than 30%, that is,twice the equivalent figure for the US and France. Wages in Spainsuffer from a serious mismeasurement problems that we do our best tocontrol, so that our results are less robust than the ones thatwould be obtained with better data sets. However, they indicate a large level of wage flexibility in Spain.

Employment consequences of restrictive permanent contracts: Evidence from Spanish labor market reforms

Temporary employment contracts allowing unrestricted dismissals wereintroduced in Spain in 1984 and quickly came to account for most new jobs.As a result, temporary employment increased from around 10% in themid-eighties to more than 30% in the early nineties. In 1997, however,the Spanish government attempted to reduce the incidence of temporaryemployment by reducing payroll taxes and dismissal costs for permanentcontracts. In this paper, we use individual data from the Spanish LaborForce Survey to estimate the effects of reduced payroll taxes anddismissal costs on the distribution of employment and worker flows. Weexploit the fact that recent reforms apply only to certain demographicgroups to set up a natural experiment research design that can be usedto study the effects of contract regulations. Our results show that thereduction of payroll taxes and dismissal costs increased the employmentof young workers on permanent contracts, although the effects for youngwomen are not always significant. Results for older workers showinsignificant effects. The results suggest a moderately elastic responseof permanent employment to non-wage labor costs for young men. We alsofind positive effects on the transitions from unemployment and temporaryemployment into permanent employment for young and older workers, althoughthe effects for older workers are not always significant. On the otherhand, transitions from permanent employment to non-employment increasedonly for older men, suggesting that the reform had little effect ondismissals.

The optimum quantity of money: Theory and evidence

In this paper we propose a simple and general model for computing the Ramsey optimal inflation tax, which includes several models from the previous literature as special cases. We show that it cannot be claimed that the Friedman rule is always optimal (or always non--optimal) on theoretical grounds. The Friedman rule is optimal or not, depending on conditions related to the shape of various relevant functions. One contribution of this paper is to relate these conditions to {\it measurable} variables such as the interest rate or the consumption elasticity of money demand. We find that it tends to be optimal to tax money when there are economies of scale in the demand for money (the scale elasticity is smaller than one) and/or when money is required for the payment of consumption or wage taxes. We find that it tends to be optimal to tax money more heavily when the interest elasticity of money demand is small. We present empirical evidence on the parameters that determine the optimal inflation tax. Calibrating the model to a variety of empirical studies yields a optimal nominal interest rate of less than 1\%/year, although that finding is sensitive to the calibration.

Employee referrals and efficiency wages

Many workers believe that personal contacts are crucial for obtainingjobs in high-wage sectors. On the other hand, firms in high-wage sectorsreport using employee referrals because they help provide screening andmonitoring of new employees. This paper develops a matching model thatcan explain the link between inter-industry wage differentials and useof employee referrals. Referrals lower monitoring costs because high-effortreferees can exert peer pressure on co-workers, allowing firms to pay lowerefficiency wages. On the other hand, informal search provides fewer job andapplicant contacts than formal methods (e.g., newspaper ads). In equilibrium,the matching process generates segmentation in the labor market becauseof heterogeneity in the size of referral networks. Referrals match good high-paying jobs to well-connected workers, while formal methods matchless attractive jobs to less-connected workers. Industry-level data show apositive correlation between industry wage premia and use of employeereferrals. Moreover, evidence using the NLSY shows similar positive andsignificant OLS and fixed-effects estimates of the returns to employeereferrals, but insignificant effects once sector of employment is controlledfor. This evidence suggests referred workers earn higher wages not becauseof higher unobserved ability or better matches but rather because theyare hired in high-wage sectors.

Supply side interventions and redistribution

In this paper we study the welfare impact of alternative tax schemes on laborand capital. We evaluate the e_ect of lowering capital income taxes on thedistribution of wealth in a model with heterogeneous agents, restricting ourattention to policies with constant tax rates.We calibrate and simulate the economy; we find that lowering capital taxeshas two effects: i) it increases effciency in terms of aggregate production, andii) it redistributes wealth in favor of those agents with a low wage/wealth ratio.We find that the redistributive effect dominates, and that agents with a lowwage wealth ratio would experience a large loss in utility if capital income taxeswere eliminated.

Product market deregulation and labor market outcomes

We consider the dynamic relationship between product market entry regulationand equilibrium unemployment. The main theoretical contribution is combininga Mortensen-Pissarides model with monopolistic competition in the goods marketand individual wage bargaining. Product market competition affects unemploymentvia two channels: the output expansion effect and a countervailing effect dueto a hiring externality. Competition is then linked to barriers to entry. Acalibrated model compares a high-regulation European regime to a low-regulationAnglo-American one. Our quantitative analysis suggests that under individualbargaining, no more than half a percentage point of European unemployment ratescan be attributed to entry regulation.

Labor markets and monetary policy: A new-Keynesian model with unemployement

We construct a utility-based model of fluctuations, with nominal rigidities andunemployment, and draw its implications for the unemployment-inflation trade-off and for the conduct of monetary policy.We proceed in two steps. We first leave nominal rigidities aside. We show that,under a standard utility specification, productivity shocks have no effect onunemployment in the constrained efficient allocation. We then focus on theimplications of alternative real wage setting mechanisms for fluctuations in un-employment. We show the role of labor market frictions and real wage rigiditiesin determining the effects of productivity shocks on unemployment.We then introduce nominal rigidities in the form of staggered price setting byfirms. We derive the relation between inflation and unemployment and discusshow it is influenced by the presence of labor market frictions and real wagerigidities. We show the nature of the tradeoff between inflation and unemployment stabilization, and its dependence on labor market characteristics. We draw the implications for optimal monetary policy.

Globalization and the provision of incentives inside the firm: The effect of foreign competition

This paper studies the effect of changes in foreign competition on the structureof compensation and incentives of U.S. executives. We measure foreign competitionas import penetration and use tariffs and exchange rates as instrumental variables toestimate its causal effect on pay. We find that higher foreign competition leads tomore incentive provision in a variety of ways. First, it increases the sensitivity of payto performance. Second, it increases whithin-firm pay differentials between executivelevels, with CEOs typically experiencing the largest wage increases, partly becausethey receive the steepest incentive contracts. Finally, higher foreign competition is alsoassociated with a higher demand for talent. These results indicate that increased foreigncompetition can explain some of the recent trends in compensation structures.

Relying on the agent in charge of production for project evaluation

I study the optimal project choice when the principal relies on the agent in charge of production for project evaluation. The principal has to choose between a safe project generating a fixed revenue and a risky project generating an uncertain revenue. The agent has private information about the production cost under each project but also about the signal regarding the profitability of the risky project. If the signal favoring the adoption of the risky project is goods news to the agent, integrating production and project evaluation tasks does not generate any loss compared to the benchmark in which the principal herself receives the signal. By contrast, if it is bad news, task integration creates an endogenous reservation utility which is type-dependent and thereby generates countervailing incentives, which can make a bias toward either project optimal. Our results can offer an explanation for why good firms can go bad and a rationale for the separation of day-to-day operating decisions from long-term strategic decisions stressed by Williamson.

Technology diffusion and the spatial distribution of wages in the US

What explains the spatial distribution of wages across US counties? I find that two of the most important factors are spatial technology diffusion and externalities due to the aggregate scale of production. One empirical finding supporting the importance of spatial technology diffusion is that average wages in a county decrease with the average level of schooling in neighboring counties when employment in the county and average wages in neighboring counties are held constant. All empirical results are obtained using anovel instrument for (endogenous) employment at the county-leveland take into account other factors (e.g. productivity-differencesacross states, climate) that may determine wages.

The survival of the welfare state

This paper provides an analytical characterization of Markov perfectequilibria in a politico-economic model with repeated voting, whereagents vote over distortionary income redistribution. The key featureof the theory is that the future constituency of redistributive policiesdepends positively on the current level of redistribution, since thisaffects both private investments and the future distribution of voters.Agents vote rationally and fullly anticipate the effects of their politicalchoice on both private incentives and future voting outcomes. The modelfeatures multiple equilibria. In "pro-welfare" equilibria, both welfarestate policies and their effects on distribution persist forever. In"anti-welfare equilibria", even a majority of beneficiaries ofredistributive policies vote strategically so as to induce the formationof a future majority that will vote for zero redistribution.

Unemployment vs. mismatch of talents: Reconsidering unemployment benefits

We develop an equilibrium search-matching model with risk-neutral agentsand two-sided ex-ante heterogeneity. Unemployment insurance has thestandard effect of reducing employment, but also helps workers to get a suitable job. The predictions of our simple modelare consistent with the contrasting performance of the labor market in Europeand US in terms of unemployment, productivity growth and wage inequality.To show this, we construct two fictitious economies with calibratedparameters which only differ by the degree of unemployment insurance andassume that they are hit by a common technological shock which enhancesthe importance of mismatch. This shock reduces the proportion of jobs whichworkers regards as acceptable in the economy with unemployment insurance(Europe). As a result, unemployment doubles in this economy.In the laissez-faire economy (US), unemployment remains constant,but wage inequality increases more and productivity grows less due to largermismatch. The model can be used to address a number of normative issues.

Revenue management under general discrete choice model of consumer behavior

Customer choice behavior, such as 'buy-up' and 'buy-down', is an importantphe-nomenon in a wide range of industries. Yet there are few models ormethodologies available to exploit this phenomenon within yield managementsystems. We make some progress on filling this void. Specifically, wedevelop a model of yield management in which the buyers' behavior ismodeled explicitly using a multi-nomial logit model of demand. Thecontrol problem is to decide which subset of fare classes to offer ateach point in time. The set of open fare classes then affects the purchaseprobabilities for each class. We formulate a dynamic program todetermine the optimal control policy and show that it reduces to a dynamicnested allocation policy. Thus, the optimal choice-based policy caneasily be implemented in reservation systems that use nested allocationcontrols. We also develop an estimation procedure for our model based onthe expectation-maximization (EM) method that jointly estimates arrivalrates and choice model parameters when no-purchase outcomes areunobservable. Numerical results show that this combined optimization-estimation approach may significantly improve revenue performancerelative to traditional leg-based models that do not account for choicebehavior.

The rise and decline of children's labour participation levels during the early stages of industrialisation. Catalonia (1850-1925)

This article aims to analyse the reasons for the intensive use of childlabour in the 19th century and its subsequent decline in the first thirdof the 20th century in the context of an economy with a highly flexiblelabour supply like that of Catalonia. During the second half of the 19thcentury,factors relating to family economies, such as numerous familiesand low wages for adults, along with the technologies of the time thatrequired manual labour resources, would appear to explain the intensiveuse of child labour to the detriment of schooling. The technologicalchanges that occurred during the first third of the 20th century, thedemographic transition and adult wage increase (for both men and women)explain the schooling of children up to the age of 15 and theconsequent practical abolition of child labour in that new era ofeconomic modernisation.