Introduction to monetary policy and capital accumulation

The papers in this symposium address the issue of multiple equilibria that can be induced by monetary policy in models with capital accumulation. In particular they examine how the “Taylor Principle”, under which interest rates respond more than proportionately to increases in inflation, can generate multiple equilibria. They also explore the design of policies to avoid the problem of multiple equilibria and indeterminacy.     

Crime and punishment in the “American Dream”

We observe that countries where belief in the “American dream”(i.e., effort pays) prevails also set harsher punishment for criminals. We know that beliefs are also correlated with several features of the economic system (taxation, social insurance, etc). Our objective is to study the joint determination of these three features (beliefs, punitiveness and economic system) in a way that replicates the observed empirical patterns. We present a model where beliefs determine the types of contracts that firms offer and whether workers exert effort. Some workers become criminals, depending on their luck in the labor market, the expected punishment, and an individual shock that we call “meanness”. It is this meanness level that a penal system based on “retribution” tries to detect when deciding the severity of the punishment. We find that when initial beliefs differ, two equilibria can emerge out of identical fundamentals. In the “American” (as opposed to the “French”) equilibrium, belief in the “American dream” is commonplace, workers exert effort, there are high powered contracts (and income is unequally distributed) and punishments are harsh. Economists who believe that deterrence (rather than retribution) shapes punishment can interpret the meanness parameter as pessimism about future economic opportunities and verify that two similar equilibria emerge.     

Skills, agglomeration and segmentation

This paper studies the role of skill heterogeneity in “new economic geography” models of location. In our setting, products are both horizontally and vertically differentiated, and producing higher quality goods requires workers with higher skills. Selling to customers based in a different location entails iceberg-type transport costs and additional “communication costs” consisting of a fixed quality loss. We show that the presence of pecuniary externalities creates a mechanism which always promotes spatial sorting of workers according to their skill levels. In particular, in all stable equilibria, workers with higher skill choose to stay in the location where aggregate skill and income is higher, while the less skilled stay in the other.     

Intergenerational transmission of preferences

We propose a perfect empathy model of cultural transmission to capture the evolution of preferences in a population. Unlike existing imperfect empathy models, focusing on stable interior equilibria, we demonstrate that a corner outcome will eventuate. However, which corner outcome emerges is unknown, and depends on the interplay of “history” and “expectations”.     

Asymmetry, stability and growth in a step-by-step R&D-race

We define a notion of stability of equilibrium in an infinitely repeated step-by-step R&D race. The unique symmetric equilibrium is shown to be unstable, and stable asymmetric equilibria arise, if product market competition is intense, firms are patient, imitation is difficult and innovations are large. Some predictions based on symmetric equilibria, e.g. that less patient firms always invest less in research, or that more intensive competition leads to higher economic growth, are reversed for “realistic” values of the underlying parameters.     

Financial development,institutional quality and maximizing-growth trade-off in government finance

This paper studies monetary and fiscal policies in an endogenous growth model with transaction costs. We show that the relation between long-run economic growth and both monetary and fiscal policies is subject to threshold effects, a result that gives account of a number of recent empirical findings. Furthermore, the model shows that, to finance public expenditures, growth-maximizing governments must choose relatively high seigniorage (respectively income taxation), if “institutional quality” and “financial development” indicators are low (respectively high). Thus, our model may explain why some governments resort to seigniorage and inflationary finance, and others rather resort to high tax rates, as a result of growth-maximizing strategies in different structural environments (notably concerning institutional and financial development contexts). In addition, the model allows examining how the optimal mix of government finance changes in response to different public debt contexts. A short empirical section confirms our theoretical results.     

Uniqueness of stationary equilibria in a one-dimensional model of bargaining

We prove uniqueness of stationary equilibria in a one-dimensional model of bargaining with quadratic utilities, for an arbitrary common discount factor. For general concave utilities, we prove existence and uniqueness of a “minimal” stationary equilibrium and of a “maximal” stationary equilibrium. We provide an example of multiple stationary equilibria with concave (nonquadratic) utilities.     

Buyer investment, export variety, and intrafirm trade

This paper studies a model of buyer investment and its effect on the variety and vertical structure of international trade. A distinction is made between two types of buyer investment: “Flexible” and “specific”, which differ in the ability of a buyer to match with a seller. The interaction of buyer investment with the entry and pricing incentives of suppliers are analyzed. It is shown that (i) there can be multiple equilibria in the variety of products traded, and (ii) less product variety is associated with more intrafirm trade. The possibility of multiple equilibria is consistent with the observation that some similar economies, such as Taiwan and South Korea, differ substantially in their export varieties to the U.S. A cross-country empirical analysis confirms the negative correlation between export variety and intrafirm trade.     

Minimum wage,on-the-job search and employment: On the sectoral and aggregate equilibrium effect of the mandatory minimum wage

We study the impact of a minimum wage in a segmented labor market in which workers are at different stages of their careers. At the end of a learning-by-doing period, workers paid the minimum wage quit “bad jobs” for better-paying “good jobs”, following an on-the-job search process with endogenous search intensity. A rise in the minimum wage reduces “bad jobs” creation and prompts workers to keep their “bad jobs” by reducing on-the-job search intensity. The ambiguous impact on unqualified employment replicates and explains the findings of several empirical studies. However, a minimum wage rise reduces overall employment and output.     

The Nash-threats folk theorem with communication and approximate common knowledge in two player games

We show that the use of communications to coordinate equilibria generates a Nash-threats folk theorem in two-player games with “almost public” information. The results generalize to the n-person case. However, the two-person case is more difficult because it is not possible to sustain equilibria by comparing the reports of different players, and using these “third parties” to effectively enforce contracts.     

Bubble-free policy feedback rules

We consider a broad class of linear dynamic stochastic rational-expectations models made of a finite number N of structural equations for N+1 endogenous variables and to be closed by one policy feedback rule. We design, for any model of this class and any stationary VARMA solution of that model, a “bubble-free” policy feedback rule ensuring that this solution is not only the unique stationary solution of the closed model, but also its unique solution. We apply these results to locally linearisable models of the monetary transmission mechanism and obtain interest-rate rules that not only ensure the local determinacy of the targeted equilibrium in the neighbourhood of the steady state considered, but also prevent the economy from gradually leaving this neighbourhood.     

Strategic analysis of petty corruption: Entrepreneurs and bureaucrats

This paper develops a game-theoretic model of “petty corruption” by government officials. Such corruption is widespread, especially (but not only) in developing and transition economies. The model goes beyond the previously published studies in the way it describes the structure of bureaucratic “tracks,” and the information among the participants. Entrepreneurs apply, in sequence, to a “track” of two or more bureaucrats in a prescribed order for approval of their projects. Our first result establishes that in a one-shot situation no project ever gets approved. This result leads us to consider a repeated interaction setting. In that context we characterize in more detail the trigger-strategy equilibria that minimize the social loss due to the system of bribes, and those that maximize the expected total bribe income of the bureaucrats. The results are used to shed some light on two much advocated anti-corruption policies: the single window policy and rotation of bureaucrats.     

Robust control and central banking behaviour

This paper seeks to explain the recent behaviour of the two main central banks in the recent financial crisis, applying a robust control tool through a Neo-Keynesian monetary policy model. The direct forbearer of this paper is the Giordani and Söderlind (2004) study. It begins with the origin, purpose and theoretical grounds of robust control, indicating that it is one way to face model uncertainty, as an alternative to the Bayesian approach. In the middle section, we seek to obtain the course of the model's main variables: interest rates, inflation and output. The model constructor also wants the participating agents to have the same doubts that he has regarding its validity; therefore, robust control is considered as a “fine-tuning” of the rational expectations approach. The impulse-response functions are obtained, with the monetary authority acting as a Stackelberg-type leader, affected by a perturbation on the supply side. The two relevant equilibria are obtained and compared in robust control with dynamic economy (the reference equilibrium and the worst possible case equilibrium) with that obtained when operating with rational expectations. The alternative course for the reference model set forth in the paper by Dennis (2008) is also analysed. We mainly find that the different results depend on the behaviour of the law of motion of the state variables, specifically the shadow prices that influence the private sector's expectations. Lastly, the paper relates the recent monetary policy performance when facing the financial crisis that began in the summer of 2007.     

Equilibrium selection and the dynamic evolution of preferences

A population of fully rational agents plays a symmetric 2-player game in biological fitnesses, but each agent?s play is determined by his payoffs, which are free to evolve according to “survival of the fittest” pressures. An equilibrium-selection mechanism is assumed to exist, and deliver a unique outcome for any given profile of payoffs; this allows the evolution of payoffs to be modeled as a well-defined replicator dynamics. The existing static stability results that “efficient strict Nash implies stability” and “stability implies efficiency” are translated to this dynamic context, although the latter gives way to indeterminacy in the absence of a specific equilibrium-selection mechanism. A strong form of stability is established for the efficient outcome of games with common interests, whilst a weaker stability result is provided for efficient mixed-strategy equilibria of doubly symmetric games. The results are illustrated using the equilibrium-selection mechanism provided by global games.     

Wage/tenure contracts with heterogeneous firms

This paper investigates equilibria where firms post wage/tenure contracts and risk averse workers search for new job opportunities whether employed or unemployed. We generalize previous work by assuming firms have different productivities. Equilibrium implies more productive firms always offer more desirable contracts. Thus workers never quit from more productive firms for less productive firms. Nevertheless turnover is inefficient as employees with long tenures at low productivity firms may reject outside job offers from more productive firms. A worker who quits to a more productive firm may accept a wage cut. Such wage cuts are compensated by faster “promotion” rates to higher wage levels in the future. We also generalize previous arguments by showing equilibria exist where the distribution of offers contains interior mass points and find equilibrium wage/tenure contracts need not be smooth.     

On characterizing equilibria of economies with externalities and taxes as solutions to optimization problems

Summary We characterize equilibria of general equilibrium models with externalities and taxes as solutions to optimization problems. This characterization is similar to Negishi's characterization of equilibria of economies without externalities or taxes as solutions to social planning problems. It is often useful for computing equilibria or deriving their properties. Frequently, however, finding the optimization problem that a particular equilibrium solves is difficult. This is especially true in economies with multiple equilibria. In a dynamic economy with externalities or taxes there may be a robust continuum of equilibria even if there is a representative consumer. This indeterminacy of equilibria is closely related to that in overlapping generations economies.An earlier version of this paper, entitled Externalities and Taxes in General Equilibrium, was presented at the North American meetings of the Econometric Society, June 1988, at the University of Minnesota. We are grateful to David Backus, Kenneth Judd, Patrick Kehoe, and Rodolfo Manuelli for helpful conversations. National Science Foundation grants SES 86-18325 and SES 87-08616 provided financial support.The views expressed herein are those of the authors and not necessarily those of the Federal Reserve Bank of Minneapolis or the Federal Reserve System.     

Monetary policy and heterogeneous expectations

This paper studies the implications for monetary policy of heterogeneous expectations in a New Keynesian model. The assumption of rational expectations is replaced with parsimonious forecasting models where agents select between predictors that are underparameterized. In a Misspecification Equilibrium agents only select the best-performing statistical models. We demonstrate that, even when monetary policy rules satisfy the Taylor principle by adjusting nominal interest rates more than one for one with inflation, there may exist equilibria with Intrinsic Heterogeneity. Under certain conditions, there may exist multiple misspecification equilibria. We show that these findings have important implications for business cycle dynamics and for the design of monetary policy.     

AN ON‐THE‐JOB SEARCH MODEL OF CRIME,INEQUALITY, AND UNEMPLOYMENT*

We extend simple search models of crime, unemployment, and inequality to incorporate on‐the‐job search. This is valuable because, although simple models are useful, on‐the‐job search models are more interesting theoretically and more relevant empirically. We characterize the wage distribution, unemployment rate, and crime rate theoretically, and use quantitative methods to illustrate key results. For example, we find that increasing the unemployment insurance replacement rate from 53 to 65 percent increases unemployment and crime rates from 10 and 2.7 percent to 14 and 5.2 percent. We show multiple equilibria arise for some fairly reasonable parameters; in one case, unemployment can be 6 or 23 percent, and crime 0 or 10 percent, depending on the equilibrium.     

Asymmetric English auctions

This paper studies equilibria of the n-bidder single-object English, or open ascending price, auction in a setting with interdependent values and asymmetric bidders. Maskin (in: H. Siebert (Ed.), Privatization, Institut fur Weltwirtschaften der Universität Kiel, Kiel, 1992, pp. 115-136.) showed that if the values satisfy a “single crossing” condition, then the two-bidder English auction has an efficient equilibrium. In this paper, two extensions of the single crossing condition, the “average crossing” condition and the “cyclical crossing” condition, are introduced. The main result is that under either of these conditions the n-bidder English auction has an efficient equilibrium.     

The sources of protectionist drift in representative democracies

We analyze a two country-two good model of international trade in which citizens in each country differ by their specific factor endowments. The trade policy in each country is set by the politician who has been elected by the citizens in a previous stage. Due to a delegation effect citizens generally favor candidates who are more protectionist than they are. The one-candidate-per-country equilibria exhibit a “protectionist drift” owing to this delegation effect. In addition, we find an additional source of protectionist drift that we call the “abstention effect”. Not only do candidates wish to delegate to more protectionist colleagues, but these more protectionist colleagues who can win election, prefer still more protectionist candidates than themselves. Therefore, they have an incentive to abstain, that is, not run for election. We show that because of this abstention effect there exists a range of electable citizens all of whom are more protectionist than the median voter's most preferred candidate. We extend the analysis allowing two-candidate equilibria and the possibility that there are costs and benefits of holding office.