Do firms plan?

The late F. A. Hayek is remembered for the argument that the decentralized price system has enormous advantages over planned systems in the critical areas of information transmission and the use of knowledge. In many minds, the recent fall of the Soviet-style economies in Eastern Europe has decisively made that case. But not all are persuaded. The model of central planning that originally impressed Lenin—the modern business corporation—remains in many minds a formidable piece of empirical evidence in favor of the possibility and desirability of centralized administrative control. This paper argues that Hayek's theory of spontaneous order can in fact include the case of such apparently purposive and extramarket forms as the business firm. It picks up a number of suggestions in Hayek's evolutionary theory of social institutions and uses them to draw a picture of the firm that is somewhat different from what one finds on the easel of neoclassical transaction-cost analysis. In the Hayekian picture, firms and markets are both systems of rules of conduct. And both are systems for economizing on knowledge in the face of economic change, albeit quite different kinds of knowledge and change. In the end, the firm is not a model for political planning for one very simple reason: the firm does not plan.When uncertainty is present and the task of deciding what to do and how to do it takes the ascendancy over that of execution, the internal organization of the productive group is no longer a matter of indifference or a mechanical detail. Centralization of this deciding and controlling function is imperative, a process of cephalization, such as has taken place in the evolution of organic life, is inevitable, and for the same reasons as in the case of biological evolution.There is no reason why a polycentric order in which each element is guided only by rules and receives no orders from a centre should not be capable of bringing about as complex and apparently as purposive an adaptation to circumstances as could be produced in a system where a part is set aside to preform such an order on an analogue or model before it is put into execution by the larger structure. In so far as the self-organizing forces of a structure as a whole lead at once to the right kind of action (or to tentative actions which can be retracted before too much harm is done) such a single-state order need not be inferior to a hierarchic one in which the whole merely carries out what has first been tried out in a part. Such a non-hierarchic order dispenses with the necessity of first communicating all the information on which its several elements act to a common centre and conceivably may make the use of more information possible than could be transmitted to, and digested by, a centre.     

Procedurally fair and stable matching

Summary. We motivate procedural fairness for matching mechanisms and study two procedurally fair and stable mechanisms: employment by lotto (Aldershof et al. , 1999) and the random order mechanism (Roth and Vande Vate, 1990, Ma, 1996). For both mechanisms we give various examples of probability distributions on the set of stable matchings and discuss properties that differentiate employment by lotto and the random order mechanism. Finally, we consider an adjustment of the random order mechanism, the equitable random order mechanism, that combines aspects of procedural and endstate fairness.Received: 9 September 2003, Revised: 12 December 2004, JEL Classification Numbers: C78, D63. Correspondence to: Flip KlijnWe thank two referees and a co-editor for helpful comments and suggestions. B. Klauss and F. Klijns research has been supported by Ramón y Cajal contracts of the Spanish Ministerio de Ciencia y Tecnología. The work of the authors has also been partially supported by Research Grant BEC2002-02130 from the Spanish Ministerio de Ciencia y Tecnología and by the Barcelona Economics Program of CREA. This paper is part of the Polarization and Conflict Project CIT-2-CT-2004-506084 funded by the European Commission-DG Research Sixth Framework Programme. This article reflects only the authors views and the Community is not liable for any use that may be made of the information contained therein.     

A term structure model with preferences for the timing of resolution of uncertainty

Summary In this paper we present a model of the term structure of interest rates with imperfect information and stochastic differential utility, a form of non-additive recursive utility. A principal feature of recursive utility, that distinguishes it from time-separable expected utility, is its dependence on the timing of resolution of uncertainty. In our model, we parametrize the nonlinearity of recursive utility in a way that corresponds to preferences for the timing of resolution. This way we show explicitly the dependence of prices on the rate of information, as a consequence of the nature of utilities. State prices and the term structure of interest rates are obtained in closed form, and are shown to have a form in which derivative asset pricing is tractable. Comparative statics relating to the dependence of the term structure on the rate of information are also discussed.We thank Bob Hodrick and Matt Jackson for their comments. Darrell Duffie is grateful for support from the National Science Foundation under NSF SBR-9409567. This paper presents the first model of an earlier, preliminary working paper titled: Two models of price dependence on the timing of resolution of uncertainty.     

Sector-specific capital, “Bang-bang” investment,and the Filippov solution

Bang-bang investment in a two-sector growth model with immobile capital is rational and leads to a unique and globally stable long-run equilibrium along a sliding trajectory. This steady state coincides with the stationary equilibrium in the traditional model with non-sector-specific capital.This article was written while the authors were visiting scholars at Cornell University. We gratefully acknowledge financial assistance from the Erasmus University Trust Fund and the Netherlands Scientific Organization. We would like to thank, without implicating, two anonymous referees, Martijn Herrmann, Jean-Marie Viaene, Claus Weddepohl, and the participants of seminars at the University of Maryland, the University of Montreal, and Erasmus University Rotterdam for perceptive remarks and useful comments. Jeroen Hinloopen and Rien Wagenvoort provided able graphical assistance. The views expressed in this article are those of the authors and not necessarily those of the World Bank.     

Vertical and Horizontal Trust Networks in Bureaucracies: Evidence from the Third Reich

In a seminal contribution to the literature on bureaucracy, Breton and Wintrobe (The Logic of Bureaucratic Conduct: An Economic Analysis of Competition, Exchange, and Efficiency in Private and Public Organization. New York, NY: Cambridge University Press, 1982) develop a model wherein subordinates and superiors in a bureaucratic structure trade with each other to advance the objectives of the superiors. The success of such an organizational arrangement (for superiors) is based upon the development of vertical trust networks in a way that facilitates the promise of informal payments by superiors in return for informal services provided by their subordinates. Breton and Wintrobe [Journal of Political Economy 94 (1986) 905] also provide a theoretical application of their model by describing the Nazi bureaucracy as a conglomeration of competing agencies that zealously carried out the Final Solution to the Jewish question. As an extension, this note develops two compelling empirical examples of vertical and horizontal trust networks within the Nazi regime: Einsatzgruppen As (Special Action Detachments) attempt to liquidate all Lithuanian Jews after the German invasion of the U.S.S.R. in 1941 and the 20 July 1944 attempt to assassinate Adolf Hitler.JEL Classification: D23, D73.     

Monetary policy and price level determinacy in a cash-in-advance economy

Summary The paper considers the determinacy of the equilibrium price level in the cash-in-advance monetary economy of Lucas and Stokey (1983, 1987), in the case of deterministic fundamentals. The possibilities both of a multiplicity of perfect foresight equilibria and of sunspot equilibria are considered. Two types of monetary policy regimes are considered and compared, one in which the money supply grows at a given exogenous rate (that may be positive or negative), and one in which the nominal interest rate on one-period government debt is pegged at a given non-negative level. In the case of constant money growth rate regimes, it is shown that one can easily have both indeterminacy of perfect foresight equilibrium and existence of sunspot equilibria; indeed, in the case of negative rates of money growth (as called for by Friedman (1969)), both types of indeterminacy necessarily occur. On the other hand, sufficient conditions for uniqueness of equilibrium (and non-existence of equilibria other than a deterministic steady state) are also given, and a class of cases is identified in which a sufficiently high rate of money growth guarantees this. Thus there may be a conflict between the aims of choosing a rate of money growth that results in a high level of welfare in the steady state equilibrium and choosing a rate that makes this steady state the unique equilibrium.) In the case of the interest rate pegging regimes, sufficient conditions are given for uniqueness of equilibrium (and impossibility of sunspot equilibria), and it is shown that these necessarily hold in the case of any low enough nominal interest rate. Thus the nominal interest rate peg allows simultaneous achievement of price level determinacy and a high level of welfare in the unique (steady state) equilibrium.In this paper I consider the consequences of alternative choices of the monetary policy regime for the determinacy of the rational expectations equilibrium value of money, and in particular for the existence or not of sunspot equilibria, i.e., rational expectations equilibria in which fluctuations in the price level occur in response to random events that represent no change in economic fundamentals, simply due to self-fulfilling revisions of people's expectations. I am interested in particular in making the point that a consideration of the complete set of possible equilibria associated with a given policy regime may alter one's evaluation of the relative desirability of alternative policies, relative to the conclusion that one might reach if one considered only a single possible equilibrium associated with each policy regime (perhaps a unique equilibrium involving a minimum set of state variables). In view of this I give particular attention to policy regimes of types that have sometimes been advocated as ways of reducing the inefficiency associated with a rate of return differential between money and other financial assets, and show that policies that might otherwise be desirable (policies that make possible a more desirable equilibrium than would otherwise be possible) can have the unfortunate consequence of rendering equilibrium indeterminate and making possible equilibrium fluctuations in response to sunspot events.Two classes of policy regimes are considered in particular: on the one hand, alternative constant rates of growth or contraction of the money supply, financed through lump sum taxes or transfers, with zero net government assets at all times; and on the other, alternative constant nominal interest rate pegs, to be maintained through open market operations between money and interest-bearing debt, with an exogenously fixed level of net transfer payments. The first class of policies is considered because of Friedman's (1969) well-known proposal that a constant contraction of the money supply of this sort would be welfare improving. I find that while thestationary equilibrium associated with the Friedman regime achieves the maximum possible level of utility for the representative consumer, and while the level of utility associated with stationary equilibrium may be monotonically decreasing in the rate of money growth, lower rates of money growth (in particular, rates near that called for by Friedman) are associated with indeterminacy of equilibrium and the existence of sunspot equilibria, while these problems need not arise in the case of higher rates of money growth.The second class of policies is considered because they represent an obvious alternative approach to the elimination of the same rate of return differential with which Friedman is concerned. Achievement of permanently low nominal interest rates through a simple interest rate peg is not often advocated; one reason is that it is often asserted that such a policy must result in price level indeterminacy. In fact, I find that if the interest rate pegging regime is properly specified, it results in aunique rational expectations equilibrium, regardless of the level at which interest rates are to be pegged. Thus not only does the interest rate peg not result in price level indeterminacy but it allows nominal interest rates to be maintained permanently at a level lower than that which can be obtained through a policy regime of the first sort without creating price level indeterminacy. It would hence appear, at least in the case of the kind of economy modeled here, that interest rate pegging is a more reliable way of trying to reduce the inefficiency associated with consumers being forced to economize on liquidity.This paper represents a revision of Woodford (1988). I would like to thank Leonardo Auernheimer, Buz Brock, Willem Buiter, Peter Howitt, Teh-Ming Huo, David Laidler, David Levine, Bennett McCallum, and an anonymous referee for helpful comments, and the National Science Foundation for research support.     

Labour market institutions and the industry wage distribution

The paper studies the industry wage structures of Austria, Norway, the union sector of the U. S. as well as the non-union sector of the U. S. We make comparable regressions for each country, and are thus able to compare the sectoral earnings patterns controlling for the usual individual characteristics. Our results confirm the hypothesis that the pattern of the inter-industry pay structure is largely independent of labour market institutions: High paying industries in a non-union environment tend to pay high wages also in regimes where bargaining is very centralised and coordinated.This, however, does not mean that collective bargaining does not matter. The influence is mainly on the amount of wage dispersion: We find considerably lower industry pay gaps in centralised Austria and Norway than in decentralised U. S. Within the U. S., pay differentials within the union sector slightly exceed those of the non-union sector.The results give support to non-competitive explanations of the labour market. If efficiency wage mechanisms are the reason for wage differentials we expect central bargainers to internalise these effects. Competitive explanations, on the other hand, would predict no difference between the non-union outcome and a central agreement aiming at achieving full employment.This work was conducted while we were both affiliated with the University of California at Berkeley, and we thank the Institute of Industrial Relations at the University of California, Berkeley, for its support and hospitality. The research was supported by the Austrian Fonds zur Förderung der wissenschaftlichen Forschung under the project JO548-SOZ (Zweimüller) and the Norwegian NORAS under the LOS program (Barth). A preliminary version of the paper was presented at the Labour Seminar at the University of California, Berkeley. We thank the participants, especially Bill Dickens and Jonathan Leonard for valuable comments. We are indebted to Bill Dickens also for giving us access to the U. S. data set CPS 1983. Thanks also to Herbert Walther for useful comments.     

The joint exploitation of a productive asset: a game-theoretic approach

Summary In the present paper we explore the set of equilibria in a game-theoretic model in which players can jointly exploit a productive asset. As in repeated games, we find that under certain circumstances there may be efficient as well as inefficient equilibria. In the model we study, efficient trigger-strategy equilibria may exist from some starting states (stocks of assets) but not others. More precisely, there is a stock level, sayy, such that an efficient trigger-strategy equilibrium exists from starting stocks greater than or equal toy, but not from those strictly less thany. (This statement is meant to include the cases in whichy is zero or infinite.) Under some circumstances, there may exist a new kind of equilibrium, which we call aswitching equilibrium. We show that, in our model, whenever y is positive (and finite), there is an open intervalI with upper endpoint y such that, from any starting stock inI there is an equilibrium of the dynamic game with the following structure: the players follow an inefficient but growing path until the stock reaches the levely, and then follow an (efficient) trigger strategy after that. The use of a continuous-time model enables us to conveniently decouple the delay of information from the time interval between decisions.We thank the C. V. Starr Center at New York University for research support. The views expressed here are those of the authors, and not necessarily those of AT&T Bell Laboratories.     

Transformation or Transmogrification? Ackerman, Hobbes (as in Calvin and Hobbes), and the Puzzle of Changing Constitutional Identity

In this article, I argue that Ackerman's approach to constitutional change is unable to distinguish between changes of degree and changes in kind, or between changes that transform and changes that transmogrify. As a consequence, the model Ackerman proposes fails at its most elemental purpose of illuminating questions of constitutional identity. Transformations fails to tell us who We the People really are or about what we are constituted.     

Convergence and approximation results for non-cooperative Bayesian games: Learning theorems

Summary LetT denote a continuous time horizon and {G ^t :tT} be a net (generalized sequence) of Bayesian games. We show that: (i) if {x ^t : tT} is a net of Bayesian Nash Equilibrium (BNE) strategies for G^t we can extract a subsequence which converges to a limit full information BNE strategy for a one shot limit full information Bayesian game, (ii) If {x ^t : tT} is a net of approximate or _t-BNE strategies for the game G^t we can still extract a subsequence which converges to the one shot limit full information equilibrium BNE strategy, (iii) Given a limit full information BNE strategy of a one shot limit full information Bayesian game, we can find a net of _t-BNE strategies {x ^t : tT} in {G ^t :tT} which converges to the limit full information BNE strategy of the one shot game.We wish to thank Larry Blume, Mark Feldman, Jim Jordan, Charlie Kahn, Stefan Krasa, Gregory Michalopoulos, Wayne Shafer, Bart Taub, and Anne Villamil for several useful discussions. The financial support of the University of Illinois at Urbana-Champaign Campus Research Board is gratefully acknowledged.     

Competitive equilibria in overlapping generations Experiments

Summary The paper presents the results of four overlapping generations experiments performed at the California Institute of Technology. Overlapping generations markets were created in which each agent had a two period life span. With the exception of the first period, there were eight agents trading in each period; four buyers (two young and two old) and four sellers (two young and two old). Parameters were selected so that a small set of equilibria existed. The markets were open for twenty-nine periods with a demand shift occurring at the fifteenth and sixteenth periods.This work provides a method of computing all competitive equilibria for a class of environments—called the opposing shift environments. The main conclusion of the experiments is that the experimental price data converge to near the stationary portions of the competitive equilibria. Demographic dynamics are also explored as part of the price adjustment process. Dynamic features found in non-overlapping environments are also observed in the overlapping generations case.We thank E. J. Nanale, a Caltech undergraduate student, who helped design and conduct the experiments. Special thanks are due to Hsing Yang Lee for his help in adapting the Multiple Unit Double Auction Program to accomodate the overlapping generations environment and for his help with the data processing. We also thank David Grether who found a serious problem with the statistical analysis in an early draft. The research assistance of Kay-Yut Chen was also very valuable to the completion of this work. The comments and suggestions of P. Rangazas were very helpful. The research of the second author was supported in part by a National Science Foundation Grant and the California Institute of Technology Laboratory for Experimental Economics and Political Science.     

Sunspots and incomplete financial markets: The general case

Summary This paper examines the effects of extrinsic uncertainty or sunspots on competitive equilibrium when financial markets are incomplete. For the canonical two-period, pure-exchange model with bonds (or so-called nominal assets, yielding fixed overall returns specified in units of account, and including pure inside money), the following result is established: Generically in endowments, if there areS sunspot states in the second period, but only 0<I<S distinct types of bonds, then — corresponding to the inherent deficiency in the financial markets — sunspots will generateD=S–I dimensions of consumption allocation or real (as well as spot price or nominal) indeterminacy.     

Voting in assemblies of shareholders and incomplete markets

Summary. An economy with two dates is considered, one state at the first date and a finite number of states at the last date. Shareholders determine production plans by voting - one share, one vote - and at -majority stable stock market equilibria, alternative production plans are supported by at most percent of the shareholders. It is shown that a -majority stable stock market equilibrium exists if where S is the number of states at the last date and J is the number of firms. Moreover, an example shows that -majority stable stock market equilibria need not exist for smaller s.Received: 23 December 2002, Revised: 14 June 2004, JEL Classification Numbers: D21, D52, D71, G39. Correspondence to: Hervé CrésThe authors are grateful to an anonymous referee for helpful comments and suggestions. Financial support from the Danish Research Councils and hospitality of HEC is gratefully acknowledged by Mich Tvede and support from Fondation HEC is gratefully acknowledged by Hervé Crés.     

Satisficing behavior, Brouwer’s Fixed Point Theorem and Nash Equilibrium

Summary. We show that Nash Equilibrium points can be obtained by using response maps or reply functions that simply use better responses rather than best responses. We demonstrate the existence of a Nash Equilibrium as the fixed point of a better response map and since the better response map is continuous the fixed point can be established by simply using Brouwers fixed point theorem. The proof applies to games with a finite number of strategies as well as to games with a continuum of strategies. In case the games have a continuum of strategies the payoff functions have to be continuous on the action sets and quasi concave on the players action set.Received: 22 September 2003, Revised: 31 March 2004, JEL Classification Numbers: C72, D00, D40. Correspondence to: Robert A. BeckerWe have benefited from comments on an earlier draft made by participants at Indiana Universitys Microeconomics workshop (October 2002) and the Midwest Economic Theory Conference held at the University of Pittsburgh (May 2003). We also thank Roy Gardner for comments on earlier versions. We thank the Associate Editor, Mark Machina, for his detailed comments and suggestions. This project began when Subir Chakrabarti was a visitor in the Department of Economics, Indiana University, Bloomington in the Spring of 2002. He thanks that department for its support.     

The equilibrium manifold keeps the memory of individual demand functions

Summary. It is shown that the property that the equilibrium manifold keeps the memory of the individual demand functions holds true if every individual demand function satisfies the following three properties: 1) It is a function of commodity prices and of consumers income; 2) Consumption belongs to the nonnegative orthant of the commodity space; 3) Walras law. Neither differentiability nor continuity are necessary. In addition, the demand functions do not have to be utility maximizing subject to budget constraints.Received: 2 September 2003, Revised: 26 January 2004, JEL Classification Numbers: D50, D51.A preliminary version of this paper was released in October 1999 under the title Deriving individual demand functions from the equilibrium manifold. I wish to thank an anonymous referee for thoughtful comments.     

Cross-country catch-up in the manufacturing sector: Impacts of heterogeneity on convergence and technology adoption

We analyze how technology transfer from a leading economy affects followers productivity growth in manufacturing sectors and Gross Domestic Product. Allowing for heterogeneous technology levels we explore how this impacts rates of catch-up in labor productivity across manufacturing sectors and GDP for 16 OECD nations. Our results indicate that aggregate studies bias downward the estimated rates of catch-up. These rates of catch-up, as well as efficiency levels, also differ across countries. We find that institutional factors such as bureaucratic efficiency are important determinants of the estimated catch-up rates.First version received:October 2001/Final version received:September 2003Earlier versions of this paper have been presented under the titles of Cross-Country Catch-up in Manufacturing and Heterogeneous Rates of Catch-up in Manufacturing Industries. The authors would like to thank participants of the North American Productivity Conference, June 2000, at Union College, N, Y., and the Associate Editor for helpful comments and criticisms.     

Information processing for a finite resource allocation mechanism

Summary deal with an organization havingm individual agents (the agents) and one central agent or agency (the coordinator), and the problem of allocating a fixed supply ofn commodities among the agents. The coordinator wishes to distribute the commodities in such a way as to maximize an objective function whose arguments are functions known (implicitly) to the individual agents, but not to the coordinator. The more information the coordinator obtains about the individual agents' functions, the better the allocation decision he or she can make; however, gaining such information is costly, so that the coordinator must balance the potential gain against the cost of acquiring additional information. We find a satisficing solution to this problem which is computable and which terminates in a finite number of steps.We would like to thank Leo Hurwicz, Ken Matheny, Shailendra Mehta, Bill Novshek, Roy Radner, Stan Reiter, Vernon Smith, Mark Walker, and, especially, John Ledyard and Tom Marschak, for helpful comments and suggestions. We must, of course, however reluctantly, accept responsibility for any remaining defects.     

Price rigidities and institutional variations in markets with posted prices

Summary An exchange economy with price rigidities and rationing is considered. The rationing systems allowed are very general. Several characterizations of the set of constrained equilibria are given, and new equilibrium existence results are provided. More specifically, well-known properties like the existence of equilibria without rationing of the numeraire commodity, and the existence of supply and demand constrained equilibria without rationing on the market of at least one commodity follow as special cases from the theorems proved. Finally it is shown that the equilibrium correspondence is upper semi-continuous, while it is continuous on a residual set of points. In order to prove these results a new continuity result for the budget correspondence is given.The author would like to thank Dolf Talman, Gerard van der Laan, Jan van Geldrop, and an anonymous referee for their valuable comments on previous drafts of this paper. The author is financially supported by the Cooperation Centre Tilburg and Eindhoven Universities, The Netherlands. This research is part of the VF-program Competition and Cooperation.     

Estimation of the value of the marginal product of emission in a country where emissions output is regulated — an empirical study

Emissions resulting from the production process can be characterized as use of the elimination and disposal services of the ecological system. Hence, they are use of natural resources and thus an input to production. The present paper discusses an approach to evaluate the returns of these kind of services as a production factor.First, four main types of industrial emission are chosen —SO ₂,CO ₂,NO _xandparticulate matter — and integrated in a Cobb-Douglas production function. With this approach, the production elasticities and the marginal product of these types of emission can be estimated.Based on these results and assuming that marginal product equals price, the demand curve for emission is estimated. With this demand curve the consequences of different kinds of environmental policy are considered. Under further assumptions of optimal behaviour it can be shown that the demand curve for emission is equal to the curve of marginal costs of avoidance (MCA). Thus, the estimates of the demand curves can be considered as estimates of the MCA-curves. Furthermore the price elasticities of these four types of emission are estimated with this approach. The method used in the paper is suggested for calibration of CGE models.     

From “tax state” to “debt state”

The paper is motivated by Joseph A. Schumpeter's The Crisis of the Tax State. It inquires whether the buildup of government debt in peacetimeprosperity is a threat to the stability, existence or creation of viable tax states. The paper begins by setting out Schumpeter's conception of the tax state and the nature of recent political-economic events which have reinvigorated the concept. Next the paper sets out some simple debt dynamics and sketches a debt-induced business cycle arising from heavy reliance on debt finance in peacetimeprosperity. Finally, the paper assesses threats to the tax state in light of recent work on path dependence and positive feedback. An attempt is made to throw some light on whether the plethora of new, and often small, states spawned by the demise of communism can be viable tax states.Essay on Government, the Tax State and Economic Dynamics submitted to the Third Schumpeter Prize Competition.