Perceiving Prospects Properly

When an agent chooses between prospects, noise in information processing generates an effect akin to the winner’s curse. Statistically unbiased perception systematically overvalues the chosen action because it fails to account for the possibility that noise is responsible for making the preferred action appear to be optimal. The optimal perception patterns share key features with prospect theory, namely, overweighting of small probability events (and corresponding underweighting of high probability events), status quo bias, and reference-dependent S-shaped valuations. These biases arise to correct for the winner’s curse effect.

The Extent and Cyclicality of Career Changes: Evidence for the UK

Using quarterly data for the U.K. from 1993 through 2012, we document that in economic downturns a smaller fraction of unemployed workers change their career when starting a new job. Moreover, the proportion of total hires that involves a career change for the worker also drops in recessions. Together with a simultaneous drop in overall turnover, this implies that the number of career changes declines during recessions. These results indicate that recessions are times of subdued reallocation rather than of accelerated and involuntary structural transformation. We back this interpretation up with evidence on who changes careers, which industries and occupations they come from and go to, and at which wage gains.

Tractable valuations under uncertainty

I put forward a concise and intuitive formula for the calculation of the valuation for a good in the presence of the expectation that further, related, goods will soon become available. This valuation is tractable in the sense that it does not require the explicit resolution of the consumerís life-time problem.

Money Cycles

Operating overheads are widespread and lead to concentrated bursts of activity. To transfer resources between active and idle spells, agents demand financial assets. Futures contracts and lotteries are unsuitable, as they have substantial overheads of their own.We show that money – under efficient monetary policy – is a liquid asset that leads to efficient allocations. Under all other policies, agents follow inefficient “money cycle” patterns of saving, activity, and inactivity. Agents spend their money too quickly – a “hot potato effect of inflation”. We show that inflation can stimulate inefficiently high aggregate output.

A General and Intuitive Envelope Theorem

We present an envelope theorem for establishing first-order conditions in decision problems involving continuous and discrete choices. Our theorem accommodates general dynamic programming problems, even with unbounded marginal utilities. And, unlike classical envelope theorems that focus only on differentiating value functions, we accommodate other endogenous functions such as default probabilities and interest rates. Our main technical ingredient is how we establish the differentiability of a function at a point: we sandwich the function between two differentiable functions from above and below. Our theory is widely applicable. In unsecured credit models, neither interest rates nor continuation values are globally differentiable. Nevertheless, we establish an Euler equation involving marginal prices and values. In adjustment cost models, we show that first-order conditions apply universally, even if optimal policies are not (S,s). Finally, we incorporate indivisible choices into a classic dynamic insurance analysis.

Out of sight, out of mind? Educational outcomes of children with parents working abroad.

Impact of parental emigration on educational outcomes of children is theoretically ambiguous. Using novel data I collected on migration experience and its timing, family background and school performance of lower secondary pupils in Poland, I analyse the question empirically. Migration is mostly temporary in nature, with one parent engaging in employment abroad. As many as 63% of migrant parents have vocational qualifications, 29% graduated from high school, 4% have no qualifications and the remaining 4% graduated from university. Almost 18% of children are affected by parental migration. Perhaps surprisingly, estimates suggest that parental employment abroad has a positive immediate impact on a pupil’s grade. Parental education appears pivotal; children of high school graduates benefit most. Longer term effects appear more negative, however, suggesting that a prolonged migration significantly lowers a child’s grade. Interestingly, siblings’ foreign experiences exert a large, positive impact on pupils’ grades.

Educational spillovers and parental migration

Impacts of parental emigration on educational outcomes of children and, in turn, the children’s influence on peers are theoretically ambiguous. Using novel data I collected on migration experiences and timing, family background and school performance of lower secondary pupils in Poland, I analyse empirically whether children with parents working abroad (PWA) influence school performance of their classmates. Migration is mostly temporary in nature, with one parent engaging in employment abroad. As many as 63% of migrant parents have vocational qualifications, 29% graduated from high school, 4% have no qualifications and the remaining 4% graduated from university. Almost 18% of all children are affected by parental migration and, on average, 6.5% of pupils in a class have a parent abroad. Perhaps surprisingly, estimates suggest that pupils benefit from the presence of PWA classmates. PWA pupils whose parents graduated from high school exert the biggest positive impact on their classroom peers. Further, classmates are differently affected by PWA children; those who themselves experienced migration within the family benefit most. This positive effect is likely driven by the student level interactions or increased teachers’ commitment to classes with students from migrant families.

Dynamic Relational Contracts under Complete Information

This paper considers a long-term relationship between two agents who both undertake a costly action or investment that together produces a joint benefit. Agents have an opportunity to expropriate some of the joint benefit for their own use. Two cases are considered: (i) where agents are risk neutral and are subject to limited liability constraints and (ii) where agents are risk averse, have quasi-linear preferences in consumption and actions but where limited liability constraints do not bind. The question asked is how to structure the investments and division of the surplus over time so as to avoid expropriation. In the risk-neutral case, there may be an initial phase in which one agent overinvests and the other underinvests. However, both actions and surplus converge monotonically to a stationary state in which there is no overinvestment and surplus is at its maximum subject to the constraints. In the risk-averse case, there is no overinvestment. For this case, we establish that dynamics may or may not be monotonic depending on whether or not it is possible to sustain a first-best allocation. If the first-best allocation is not sustainable, then there is a trade-off between risk sharing and surplus maximization. In general, surplus will not be at its constrained maximum even in the long run.

Directed Search over the Life Cycle

We develop a life-cycle model of the labor market in which different worker-firm matches have different quality and the assignment of the right workers to the right firms is time consuming because of search and learning frictions. The rate at which workers move between unemployment, employment and across different firms is endogenous because search is directed and, hence, workers can choose whether to seek low-wage jobs that are easy to find or high-wage jobs that are hard to find. We calibrate our theory using data on labor market transitions aggregated across workers of different ages. We validate our theory by showing that it predicts quite well the pattern of labor market transitions for workers of different ages. Finally, we use our theory to decompose the age profiles of transition rates, wages and productivity into the effects of age variation in work-life expectancy, human capital and match quality.

An axiomatization of difference-form contest success functions

This paper presents an axiomatic characterization of difference-form group contests, that is, contests fought among groups and where their probability of victory depends on the difference of their effective efforts. This axiomatization rests on the property of Equalizing Consistency, stating that the difference between winning probabilities in the grand contest and in the smaller contest should be identical across all participants in the smaller contest. This property overcomes some of the drawbacks of the widely-used ratio-form contest success functions. Our characterization shows that the criticisms commonly-held against difference-form contests success functions, such as lack of scale invariance and zero elasticity of augmentation, are unfounded.By clarifying the properties of this family of contest success functions, this axiomatization can help researchers to find the functional form better suited to their application of interest.

Information Design

There are two ways of creating incentives for interacting agents to behave in a desired way. One is by providing appropriate payoff incentives, which is the subject of mechanism design. The other is by choosing the information that agents observe, which we refer to as information design. We consider a model of symmetric information where a designer chooses and announces the information structure about a payoff relevant state. The interacting agents observe the signal realizations and take actions which affect the welfare of both the designer and the agents. We characterize the general finite approach to deriving the optimal information structure for the designer - the one that maximizes the designer's ex ante expected utility subject to agents playing a Bayes Nash equilibrium. We then apply the general approach to a symmetric two state, two agent, and two actions environment in a parameterized underlying game and fully characterize the optimal information structure: it is never strictly optimal for the designer to use conditionally independent private signals; the optimal information structure may be a public signal or may consist of correlated private signals. Finally, we examine how changes in the underlying game affect the designer's maximum payoff. This exercise provides a joint mechanism/information design perspective.

Competing with Asking Prices

In many markets, sellers advertise their good with an asking price. This is a price at which the seller will take his good off the market and trade immediately, though it is understood that a buyer can submit an offer below the asking price and that this offer may be accepted if the seller receives no better offers. Despite their prevalence in a variety of real world markets, asking prices have received little attention in the academic literature. We construct an environment with a few simple, realistic ingredients and demonstrate that using an asking price is optimal: it is the pricing mechanism that maximizes sellers' revenues and it implements the efficient outcome in equilibrium. We provide a complete characterization of this equilibrium and use it to explore the implications of this pricing mechanism for transaction prices and allocations.

The Extent and Cyclicality of Career Changes: Evidence for the UK

Using quarterly data for the U.K. from 1993 through 2012, we document that the extent of worker reallocation across occupations or industries (a career change, in the parlance of this paper) is high and procyclical. This holds true after controlling for workers' previous labour market status and for changes in the composition of who gets hired over the business cycle. Our evidence suggests that a large part of this reallocation reflect excess churning in the labour market. We also find that the majority of career changes come with wage increases. During the economic expansion wage increases were typically larger for those who change careers than for those who do not. During the recession this is not true for career changers who were hired from unemployment. Our evidence suggests that understanding career changes over the business cycle is important for explaining labour market ows and the cyclicality of wage growth.

Human Capital in Economic Development: From Labour Productivity to Macroeconomic Impact

Micro-econometric evidence reveals high private returns to education, most prominently in low-income countries. However, it is disputed to what extent this translates into a macro-economic impact. This paper projects the increase in human capital from higher education in Malawi and uses a dynamic applied general equilibrium model to estimate the resulting macroeconomics impact. This is contingent upon endogenous adjustments, in particular how labour productivity affects competitiveness and if this in turn stimulates exports. Choice among commonly applied labour market assumptions and trade elasticities results in widely different outcomes. Appraisal of such policies should consider not only the impact on human capital stocks, but also adjustments outside the labour market.

Debunking Mill’s “Fourth Fundamental Proposition on Capital”

J S Mill’s enigmatic "Fourth Proposition on Capital" has been brought to our notice by Steven Kates (2015). Kates takes a positive view of the proposition. Our focus is not, however, on Kates, but on the aforesaid proposition. The purpose of this paper is to demonstrate, via close examination of Mill’s explanatory examples, just how unsatisfactory are its foundations. We conclude that the doubters are justified: Mill’s Fourth Proposition is, demonstrably, a muddle.