dynamic price competition with fixed capacities in this paper we study price competition for an oligopoly in a dynamic setting where each of the sellers has a fixed number of units available for sale over a fixed number of periods demand is stochastic and depending on how it evolves sellers may change their prices at any time this reflects the fact that firms constantly and almost costlessly change their prices reacting to updates in their estimates of market demand competitor prices or inventory levels in a setting with demand uncertainty we show that there is a unique subgame perfect equilibrium for a duopoly in which all states sellers engage in bertrand competition and the seller with the lower equilibrium reservation value sells a unit at a price equal to the competitor s equilibrium reservation value this structure therefore extends the marginal value concept of bid price control used in many revenue management implementations to a competitive model we give a closed form solution to the equilibrium price paths for a duopoly and extend all the results to an n firm oligopoly we then study extensions to multiple customer types uncertain valuations and differentiated products this paper was accepted by martin lariviere operations management

the solution to the tullock rent seeking game when r 2 mixed strategy equilibria and mean dissipation rates in tullock s rent seeking model the probability a player wins the game depends on expenditures raised to the power r we show that a symmetric mixed strategy nash equilibrium exists when r 2 and that overdissipation of rents does not arise in any nash equilibrium we derive a tight lower bound on the level of rent dissipation that arises in a symmetric equilibrium when the strategy space is discrete and show that full rent dissipation occurs when the strategy space is continuous our results are shown to be consistent with recent experimental evidence on the dissipation of rents

a note on distribution in a vote bidding game with general interest and single issue voters abstract this paper explores the strategies of candidates bidding for votes from a population made up of single issue voters and voters who respond in a probabilistic manner

expectations capital gains and income i introduction this article argues that the distinction between expected and unexpected capital gains losses is fundamental to the measurement of income the way capital gains are treated can have a significant impact on major macroeconomic statistics such as national income and saving the balance of payments government income and saving and depreciation see gale and sabelhaus 1999 joisce and wright 2001 the recent sale of spectrum licenses is a case in point the spectrum a natural asset over which governments enforce property rights became unexpectedly valuable as a result of the development of mobile telephones in 2000 and 2001 some governments realized gains of 30 billion or more in a day by auctioning licenses to use sections of the spectrum see un statistics division 2000 the concept of income although widely used remains vague it is necessary to inquire why the concept of income is needed and what use it serves the main purpose of income is to provide guidance to households or other economic units including government on the rate at which they can afford to consume when there is uncertainty about future resources the more successfully measured income meets this requirement the greater its power as an explanatory variable for the analysis of consumer behavior the treatment of expected and unexpected capital gains in income measurement is a continuing source of controversy 1 even in a perfect foresight setting the concept of income is not straightforward hicks 1946 considered a number of definitions two in particular command support in the literature hicksian income no 1 is the maximum amount that can be consumed while maintaining wealth intact 2 hicksian income no 2 is the maximum sustainable level of consumption the general consensus that emerges from the literature is that with perfect foresight all capital gains are included in hicksian income no 1 however asheim 1996 shows that some capital gains are excluded from hicksian income no 2 when the interest rate varies over time both income concepts coincide when the interest rate is fixed when the perfect foresight assumption is relaxed a distinction must be drawn between expected and unexpected capital gains it is important that we move beyond a perfect foresight setting because the concept of income has been developed primarily to assist decision taking under uncertainty if income is meant to act as a budget constraint indicating the resources available for consumption each period the important question is how should a rational consumer react to unexpected capital gains this article develops a general theoretical framework for the measurement of hicksian income no 1 under uncertainty that is capable of handling all kinds of capital gains on all kinds of assets ranging from money market assets to mineral deposits 3 first the concept of income with perfect foresight is developed and analyzed in the following section uncertainty is introduced income depends on expectations of future receipts that are liable to be revised with the passage of time the time at which income in a particular period is measured is therefore crucial income can be measured at any time but attention has tended to focus on the beginning and end of the period hicks 1946 178 79 described income as measured at these times as ex ante and ex post income ex ante income as noted by eisner 1990 p 1180 is essentially the same as friedman s 1957 concept of permanent income ex post income as defined by hicks now usually described as haig simons income after two earlier proponents of the concept is a widely used objective measure familiar to most economists however it is conceptually flawed because it utilizes two different and generally inconsistent set of expectations those held at the beginning and end of the period we define a family of conceptually consistent income measures each based only on the expectations held at the time of measurement that we describe as generalized hicksian income

capacity investment under postponement strategies market competition and demand uncertainty we consider duopoly models where firms make decisions on capacity production and price under demand uncertainty capacity and price decisions are made respectively ex ante and ex post demand realizations the interplay between the timings of demand realization and production decision endows firms with different capabilities flexible firms can postpone production decisions until the actual demand curve is observed but inflexible firms cannot under general demand structures and cost functions we characterize the equilibrium for a symmetric duopoly and establish the strategic equivalence of price and quantity competitions when firms are flexible we investigate the stochastic order properties of capacity and profit and show that they both increase for a flexible firm when the market is more volatile we find that flexibility allows a firm to increase investment in capacity and earn a higher profit while benefiting customers by keeping the price in a narrower range strategic equivalence implies that

output input and productivity measurement in u s agriculture 1948 79 tornqvist theil indexes of outputs and inputs are constructed these data are used to construct indexes of productivity growth over the postwar period the productivity indexes can be derived from a flexible multioutput multifactor representation of the structure of production constrained to constant returns to scale total factor productivity grew at an average annual rate of 1 75 compared with 1 70 per year estimated by the u s department of agriculture the similar estimates of productivity growth overshadow some important differences in measurement of individual inputs the major effort in measuring agricultural productivity is undertaken by the u s department of agriculture usda an american agricultural economics association task force on measuring productivity has examined the sources and procedures used in constructing the official statistics see loomis and barton lambert barton and durost the task force recommended that the usda adopt a series of specific improvements for constructing certain inputs and use an indexing procedure that does not impose a priori restrictions on the structure of production 1 this paper presents revised indexes of outputs and inputs the data are used to construct indexes of productivity growth over the postwar period the productivity indexes can be derived from a flexible multioutput multifactor representation of the structure of production the translog transformation function constrained to constant returns to scale 2 the indexes of outputs and inputs have the same form and their ratio coincides with the estimate of productivity growth

information technology and time based competition in financial markets this paper studies time based competition in imperfect securities markets linking it investment decisions information processing delays and trading strategies at the it investment stage traders trade off the cost of it against their anticipated trading profits at the trading stage each trader devises a trading strategy based on his new information while taking into account the impact of both his own trades and those of other traders in the market our results illustrate how traders react to market imperfections due to trading costs and information processing delays and how superior traders convert a timeliness advantage into higher trading profits they also shed light on the relationship between the price adjustment process and traders information processing delays timeliness imposes an interesting structure on trader competition traders with longer information processing delays trade less frequently submit smaller orders and enjoy lower profits per trade our analysis of traders it investment decisions demonstrates how factors such as it costs number of traders and the frequency and nature of new information affect the level of it investments we further illustrate how improved it infrastructure translates into competitive advantage

endogenous quality differentiation in congested markets firms selling a product with congestion externalities to a heterogeneous population of customers have an incentive to offer differentiated levels of quality in a price competitive market differentiation arises endogenously through the prices chosen by firms in equilibrium firms offer a range of prices which induce an efficiency improving range of quality levels and allow customers to self select their preferred price quality combinations additional results suggest that with many firms in the market the choice of prices dominates the choice of service capacities in determining congestion levels copyright 1991 by blackwell publishing ltd

a comparison of event study methodologies using daily stock returns a simulation approach accounting research studies commonly use measures of abnormal security returns to test hypotheses about accounting information and policies alternative methods are used in these studies to detect abnormal performance and thereby examine the information content of identified events the ability of these methods to detect abnormal returns using simulation techniques is examined by brown and warner 1980 1984 morse 1984 addresses this issue analytically the analytical approach presumes that the event study data is generated by the process modeled while the simulation approach uses the security return data generated by the market simulation provides a tractable means of dealing with situations where an analytical approach may yield results suggesting direction but not magnitude or where such techniques are unusually cumbersome both limitations face us in this study brown and warner 1980 use monthly data to examine the comparative abilities of several combinations of return generating models and

generalized quantity competition for multiple products and loss of efficiency we study a generalized model of quantity cournot oligopolistic competition the impact of competition on social surplus and firms profit is analyzed firms produce multiple differentiated products and face production constraints we compare the social surplus produced by competing firms and by colluding firms with the maximum achievable total surplus in the market similarly we quantify the loss of profit that firms incur by competing instead of colluding our goal is to understand how the presence of competition affects the firms and society as a whole but also to determine what are the key drivers of the inefficiencies that arise due to competition

equilibrium in competitive insurance markets with ex ante adverse selection and ex post moral hazard abstract existence of pure strategy equilibria is studied in health insurance markets that exhibit both ex ante adverse selection of the rothschild stiglitz wilson type and ex post hidden information moral hazard it is found that ex post moral hazard has two offsetting effects on the existence of equilibrium and that in general it is difficult to say whether an equilibrium is more or less likely to exist numerical simulations and an analytical example confirm that moral hazard may increase the likelihood of equilibrium these results are interpreted as evidence that health maintenance organization hmo markets could be less likely to exhibit stable equilibria than are fee for service insurance markets

information technology and growth the rapid diffusion of information technology it is a direct consequence of the swift decline in the price of computer related equipment which has led to a vast and continuing substitution of it equipment for other forms of capital and labor this substitution generates substantial returns for the economic agents who undertake it investments and restructure their activities in order to increase the role of it there is little evidence however that substitution is accompanied by technical change as this term is used by economists while this appears highly paradoxical to technologists who think of substitution of a more it intensive mode of production for a less itintensive mode as a change in technology it is entirely consistent with the economic framework developed by robert m solow 1957 what do economists mean by technical change and how could this exclude the substitution of a more it intensive production process for one that is less it intensive substitution represents movement along a given production function while technical change corresponds to a shift in the production function substitution takes place if the introduction of computer intensive equipment produces benefits that are fully captured or internalized by the users of it and their suppliers technical change occurs only if more

capital utilization and retirement this empirical analysis assesses the determinants of firms capital retirement particular attention is paid to the impact of the business cycle and the capital usage intensity compared to previous studies we directly control for the capital utilization and disentangle the short run mechanisms from the long run ones the analysis is carried out with an original and large firm level dataset the main results of the analysis may be summarized as follows i the retirement rate increases during slowdowns and decreases during booms this corresponds to a countercyclical capital retirement ii the capital retirement rate increases with the capital usage intensity in the long run this corresponds to a wear and tear effect which is small compared to the countercyclical one iii the capital retirement rate increases with the average age of capital iv the profit rate and the wage cost per capita do not have a significant impact on the retirement rate

asymmetric information and search frictions a neutrality result this paper integrates asymmetric information between firms into a canonical model of on the job search workers are heterogeneous in ability but not all employers observe a worker s type wage dispersion caused by search frictions makes the equilibrium wage distribution insensitive to informational asymmetries hence the equilibrium outcome may be the same as when a worker s ability is known to every firm the supportability of the full information outcome depends on market parameters related to productivity knowledge and search the theoretical results elucidate an empirical puzzle about demographic differences in asymmetric information between employers

another look at the linear q model an empirical analysis of aggregate business capital spending with maintenance expenditures the paper revisits the empirical investment literature which has established that aggregate business fixed investment is not found to be related linearly to marginal or average tobin s q the theoretical background is extended here by developing a supply side model where the depreciation rate of private capital is determined endogenously the firm can either invest in new capital which adds directly to the existing capital stock at the presence of convex adjustment costs or extend the durability of installed capital through maintenance expenditure which affects its depreciation rate the model shows that tobin s q is then a positively related sufficient statistic for both components of aggregate capital expenditures this central implication is tested empirically using aggregate time series survey data from canada on new investment and maintenance expenditures covering the period 1956 93 the estimated relationships produce significant and plausible parameter estimates for the structural parameters of the q model le texte examine la litterature empirique sur l investissement qui a etabli que le niveau d investissement agrege des entreprises en capital fixe n est pas relie de facon lineaire au coefficient moyen ou marginal q de tobin on enrichit l arriere plan theorique en developpant un modele d offre dans lequel le taux de depreciation du capital prive est determine de facon endogene l entreprise peut soit investir dans du capital nouveau ce qui ajoute directement au stock de capital existant soit allonger la vie du capital en place par des depenses de maintenance qui modifient le taux de depreciation le modele montre que le coefficient q de tobin est alors positivement relie aux deux composantes des depenses agregees en capital cette implication importante est mise au test empiriquement en utilisant les series chronologiques en provenance des enquetes de statistiques canada sur les nouveaux investissements et les depenses de maintenance pour la periode 1956 93 les relations estimees produisent des parametres plausibles et significatifs pour les parametres structurels du modele q

bertrand competition and cournot outcomes further results the model of kreps and scheinkman where firms choose capacities and then compete in price is extended to oligopoly further capacity is an imperfect commitment device firms can produce beyond capacities at an additional unit cost when is larger than the cournot price the cournot outcome obtains in the unique subgame perfect equilibrium when decreases from the cournot price towards zero the whole range of prices from cournot to bertrand is obtained in equilibrium

adverse selection and the middleman the question analyzed in this paper is whether a market that otherwise experiences an akerlofian lemons impasse can function if a middleman organizes trade it is found that the middleman s intervention can prove successful even if neither signals nor quality screening methods exist that could help him to assess the good s qualities the result is obtained under the hypothesis that the middleman randomizes his price offers to the sellers of the units to be intermediated copyright 1989 by the london school of economics and political science

equilibrium existence in the linear model of spatial competition this paper considers a generalization of the hotelling model of spatial competition it is shown that a pure strategy perfect equilibrium in the two stage location price game exists only under very stringent conditions these conditions are in fact the conditions for profit to be concave in price for any given location pair when the solution concept is extended to allow for mixed strategies there is no symmetric equilibrium involving pure strategies if transport costs are not sufficiently convex the convexity of transport costs is crucial in determining whether there is excessive or insufficient diversity of products copyright 1988 by the london school of economics and political science

price competition for an informed buyer abstract this paper investigates price competition with private information on the demand side two sellers each offer a different variety of a good to a buyer endowed with a private binary signal on their relative quality the model provides an informational foundation to differentiation in hotelling s price competition game equilibrium comparative statics is performed with respect to the prior belief and the precision of the private information competition is fierce when the prior strongly favors one seller and private signals are relatively uninformative sellers equilibrium profits may fall with the revelation of public information and are nonmonotonic in the prior belief journal of economic literature classification numbers c72 d43 d82 l15

the nature of equilibrium in a location model models of location are appropriate in a number of contexts in economics and political science for example firms choose where to position stores and which of a spectrum of goods to produce and politicians select the nature of their platforms in such models it is natural to look for a collection of locations with the property that the location of each individual is optimal given the positions of all other individuals however the pure strategy nash equilibrium provides a solution which is both incomplete and unsatisfactory incomplete because in many cases no such equilibrium exists unsatisfactory because even when it does exist it may not be robust to the specification of the model

the value to a firm of its rival learning abstract in price competition a firm f reduces its rival s r learning about r s cost in quantity price competition f wants r not to learn about f s cost i show that in quantity competition f wants r not to learn about r s cost

using game theory to model competition the article is an exposition of the basic concepts of noncooperative game theory and their application to advertising product and price competition

the east end the west end and king s cross on clustering in the four player hotelling game nicolaas j vriend i introduction despite the popularity of simple location models in industrial economics and voting theory in the tradition following hotelling 1929 and despite the recent rise of the experimental method in economics there have been only few experimental tests of such models brown kruse et al 1993 and brown kruse and schenk 1999 study models with elastic demand while collins and sherstyuk 2000 focus on the simpler case which we address too where demand is inelastic collins and sherstyuk implement a model with three agents who choose locations on a line segment with a uniform density of consumers who due to the assumption of inelastic demand can also be seen as voters with one vote each it is well known that this game has no pure strategy equilibrium see eaton and lipsey 1975 normalizing the line segment to the unit interval the unique mixed strategy equilibrium prescribes uniform randomization over the middle two quarters for all firms see shaked 1982 as it is a well established fact that experimental subjects have difficulties in randomizing see for example rapoport and budescu 1997 it is not very surprising that collins and sherstyuk do not find strong support for the equilibrium hypothesis their empirical distribution of choices is m shaped and has a considerably larger support than the equilibrium distribution in this study we analyze the case of four agents with uniform consumer density and inelastic demand as the equilibrium of this case implies that two firms locate at the edge of the first and second quarters and the other two at the edge of the third and fourth quarters this setup seems ideal for the investigation of various matters first there is no other number of agents where the equilibrium prediction has a better chance to be valid 1 with three competitors the unique symmetric equilibrium is mixed with five the unique equilibrium configuration is asymmetric and implies unequal payoffs and with six and more agents the equilibrium configurations cease to be unique thus only the two and the four agent cases yield unique pure and symmetric equilibrium configurations that give identical payoffs to all agents second the equilibrium in the four agent case has a property that makes it interesting from a behavioral and empirical point of view not only the focal midpoint is empty but the whole middle segment of the linear city is empty as well that is notwithstanding the nice theoretical properties the equilibrium is not entirely intuitive and is also conflicting with casual empirical evidence there are no cities without shops in the center nor are there democracies without parties located in the political middle ground the picture we will discern in our experimental data can be summarized in the following experimental result in the four seller case the equilibrium prediction is of substantial but limited help about one third of all choices are clustered around the equilibrium locations but in no session do we observe convergence to equilibrium at the same time the focal midpoint exerts a considerable attraction with almost 10 of all choices clustered around it consumers profit from this considerably in the form of lower transportation costs the remainder of the article is organized as follows in section ii we give a theoretical account of the model we implement in section iii we present the experimental design in section iv we analyze the results and explain the data and section v concludes ii theory consider a linear city in which four firms produce a good at constant marginal cost the price of the good is fixed due to some unmodeled features of the market consequently costs can be normalized to zero and the price to one to sell the goods the firms simultaneously choose a location on the unit interval 0 1

recent advances in oligopoly theory from a game theory perspective abstract this paper surveys the contribution that recent developments in game theory have made to the understanding of oligopoly theory it is argued that conventional models suffer from the problem that there are a number of solution concepts offered with little guidance as to which should be selected and this is related to the static nature of the models employed one important development in game theory has been the analysis of repeated games and when applied to oligopoly theory this suggests that outcomes may be more cooperative than conventional theory suggests related to this is the requirement that firms employ credible threats to punish cheating from cooperative outcomes and the paper examines the extent to which imperfect information may restrict the scope of firms to employ such punishments one way in which firms may seek to make threats credible is through strategic investments for example in production capacity and the paper explores how competition over price or output is integrated with competition over instruments for strategic investment

why competition may drive up prices abstract we show that the expected price of an incumbent firm may increase in response to increasing competition as it may become more profitable to exploit a rather immobile fraction of consumers instead of capturing a larger but more contested segment of the market to derive this result we consider two approaches of modelling the degree of competition first in a duopolistic setting competition is said to be more intense if the entrant s product becomes more attractive to the mobile fraction of buyers in this case we find that all buyers i e both the mobile and the immobile fraction may lose if the market becomes more competitive secondly in a model with two entrants competition is said to become intense if entrants serve an overlapping segment of the market for mobile buyers

estimating distributed lags in short panels with an application to the specification of depreciation patterns and capital stock constructs this paper considers the problem of estimating distributed lags in short panels though the n time series contained in a panel may allow for relatively precise estimates of identified lag coefficients identification requires restrictions on the contribution of the unobserved pre sample x s to the current values of y and the shortness of panels focuses attention on this matter we investigate two such restrictions the first constrains the relationship between the presample and insample x s while the second constrains the lag distribution itself an example which investigates empirically how to construct capital stocks for the analysis of rates of return closes the paper

trade restrictions as facilitating practices abstract the effect of quantitative restrictions in oligopolistic markets is shown to depend on whether imports are substitutes or complements for domestic products in the former case they have profound effects even when set at free trade levels because they impede the ability of the foreign firm to compete in the domestic market thereby acting to facilitate collusion and raise prices and profits for this reason tariffs and quotas are fundamentally non equivalent with substitute goods when goods are complements a voluntary export restriction ver at the free trade level has no effect and tariffs and quotas are equivalent

should countries control international profit shifting we present a fiscal competition model with two policy instruments the level of corporate taxation and the tightness of control of profit shifting by multinational firms mnf we show that a country may optimally decide not to monitor the mnf for two reasons firstly this country becomes an attractive location for mnf activity despite a high corporate tax secondly as the profits of the mnf become mobile the focus of tax competition is shifted taxation then influences both an mnf s location and the place where it declares its profits

long run gasoline demand for passenger cars the role of income distribution it is commonly agreed that the level of income and prices are crucial determinants of the consumption of motor gasoline the respective long run price and income elasticities are regularly calculated using cross sectional models despite the acknowledgement of the role of income distribution it plays no role in intercountry cross sectional models this is due to a lack of appropriate data this paper shows that the omission of distributional characteristics provides misleading elasticities using available distributional measures this paper is referring to an income threshold which is crucial to the acquisition of an automobile it is shown that on the one hand in poor countries an unequal income distribution is needed to enable at least some people to buy automobiles on the other hand in wealthy countries an unequal income distribution would exclude some people from acquiring automobiles hence depending on the income level inequality has a diverging impact on the ability to buy durable goods the second part of this paper develops a pooled 90 country model to examine this approach empirically it could be shown that distribution variables are highly significant to explain the demand for automobiles and motor gasoline moreover the consideration of the distribution of income leads to a considerable decrease in income elasticity values this is mainly due to the positive correlation between income level and income equality within the sample

ict and productivity growth in the united kingdom this paper develops new estimates of investment in and output of information and communication technology ict these new estimates imply that gdp growth has been significantly understated particularly since 1994 a growth accounting approach is employed to measure the contribution of ict to the growth of both aggregate output and aggregate input on both counts the contribution of ict has been rising over time from 1989 to 1998 ict output contributed a fifth of overall gdp growth since 1989 55 per cent of capital deepening the growth of capital per hour worked has been contributed by ict capital since 1994 this proportion has risen to 90 per cent ict capital deepening accounts for 25 per cent of the growth of labour productivity over 1989 98 and 48 per cent over 1994 8 but even when output growth is adjusted for the new ict estimates both labour productivity and tfp growth are still found to slow down after 1994

age time vintage and price indexes measuring the depreciation pattern of houses age time and vintage are key determinants of house prices yet they cannot be included together linearly or as dichotomous variables in hedonic regressions as construction time age of house sale time we introduce a method where the estimates of the age time and vintage effects on prices are obtained in a flexible manner without requiring us to specify a pre determined functional form for either of these variables applying our method to dutch data we find that the estimated depreciation pattern over the life of houses does not follow the functional forms typically specified for the age of houses in hedonic regressions

approximate bertrand equilibria in a replicated industry this paper considers the existence and properties of approximate bertrand equilibria in a replicated industry price setting firms produce a homogeneous product with weakly convex costs the main results are that a given e 0 an e equilibrium exists if the industry is large enough b if the e is small enough and the industry large enough any e equilibrium is approximately competitive these results depend on how contingent demand is specified

bertrand edgeworth equilibria with unobservable output uncoordinated consumers and large number of firms abstract we examine a bertrand edgeworth model of price competition where the output levels of the firms are unobservable and consumers are uncoordinated we show that if the number of firms is large enough then any price greater than the competitive one can be sustained as a pure strategy nash equilibrium

bertrand competition with cost uncertainty abstract we analyze the classical model of bertrand competition in a homogeneous good market with constant marginal costs and uncertainty regarding rivals costs first we show that there exists a mixed strategy nash equilibrium under the conventional equal sharing rule second we illustrate the result for the case of piecewise affine market demand

capital maintenance and depreciation over the business cycle abstract this paper develops and estimates a stochastic general equilibrium model with capital maintenance which affects endogenously the depreciation rate of capital the estimate of maintenance series is found to track survey based measures for canada quite closely and to generate the procyclical pattern of maintenance observed in the data we use our model estimates to infer the time profile of equipment capital depreciation in canadian and us manufacturing the depreciation rate is estimated to be volatile and highly procyclical in both countries

incentive efficient price systems in large insurance economies with adverse selection we decentralize incentive efficient allocations in large adverse selection economies by introducing a competitive market for mechanisms that is for menus of contracts facing a budget constraint informed individuals purchase lottery tickets to enter mechanisms whereas firms sell tickets and supply slots at mechanisms at given prices beyond optimization market clearing and rational expectations an equilibrium requires that firms cannot favorably change or cut prices an equilibrium exists and is incentive efficient an equilibrium can be computed as the solution to a programming problem that selects the incentive efficient outcome preferred by the highest type within an appropriately defined set for two types economies this is the only equilibrium outcome

banks as coordinators of economic growth and stability microfoundation for macroeconomy with externality abstract competition among banks promotes growth and stability for an economy with production externality following arrow and debreu 1954 6 i formulate a standard growth model with externality a two period version of romer 1986 39 as a game among consumers firms and intermediaries the walrasian equilibrium with an auctioneer does not achieve the social optimum without an auctioneer or intermediaries i show that no nash equilibrium exists with several banks strategically intermediating capital a nash equilibrium emerges with a realistic institution i e an interbank market with a negotiation process in the loan market the equilibrium outcome is uniquely determined and socially optimal

the existence of equilibrium in discontinuous economic games i theory the article presents information about the existence of equilibrium in discontinuous economic games in this paper and its sequel presents study the existence of nash equilibrium in games where agents payoff functions are discontinuous the enquiry is motivated by a number of recent studies that have uncovered serious existence problems in seemingly innocuous economic games in the sequel to this paper authors have explained the utility function in the economic games referred to earlier are neither continuous nor quasi concave however they demonstrate that the payoff functions in mildly modified versions of these constructs exhibit two weaker forms of continuity which together with the requirement of quasi concavity suffice for the existence of an equilibrium from this one may conclude that at least in the modified versions of these models discontinuities in the payoff functions are not the real source of the problem rather it is the failure of the payoff functions to the quasi concave which is responsible for the non existence of equilibrium these observations bear on the existence of nash equilibrium in pure strategies

tinbergen and theil meet nash controllability in policy games abstract this paper generalizes the classical theory of economic policy to a static lq strategic context between n players we show how this generalized version of controllability can profitably be used to deal with policy ineffectiveness issues and nash equilibrium existence

fixed capital stock depreciation in developing countries some evidence from firm level data previous growth accounting studies suggest severe capital underutilisation and mismeasurement of the stocks of capital in some developing countries using the firm level data sets from the world ba

modelling technical efficiency in cross sectionally dependent stochastic frontier panels summary this paper proposes a unified framework for accommodating both time and cross sectional dependence in modelling technical efficiency in stochastic frontier models by combining the exogenously driven factor based approach and an endogenous threshold efficiency regime selection mechanism this approach is able to deal with both weak and strong cross sectional dependence in a flexible manner using a dataset of 26 oecd countries over 1970 2010 we provide satisfactory estimation results for the production technology parameters and the associated efficiency ranking of individual countries we find a positive spillover effect on efficiency supporting the hypothesis that knowledge spillover is more likely to be induced by technological proximity furthermore our approach enables us to identify efficiency clubs endogenously

all equilibria in a class of bidding games abstract we consider a class of bidding games under complete information and construct a continuum of pure and mixed strategy equilibria as corollaries of our results we obtain a continuum of equilibria for the n bidder first price auction and the n firm bertrand game

discontinuous stable games and efficient nash equilibria abstract in the recent paper by the author scalzo v 2010 pareto efficient nash equilibria in discontinuous games economics letters 107 364 365 a class of discontinuous games where efficient nash equilibria exist has been defined in the present paper we complete the previous investigation and recognize a class of discontinuous games where the efficient nash equilibria are stable with respect to perturbations of the characteristics of players

accounting for the wealth of nations the net versus gross output controversy and its ramifications there has been a longstanding controversy over the use of net versus gross measures of national product in accounting for economic growth most recently reflected in several papers which have examined the role of environmental variables it is argued in this paper that the two measures are not substitutes but complements which reveal different aspects of the growth process gross product is the correct output concept for estimating the structure of production while net product is the correct concept for measuring the welfare consequences of economic growth an alternative to the conventional solow growth accounting framework is then presented in which the change in national wealth is decomposed into its component elements copyright 1992 by the editors of the scandinavian journal of economics

wealth and inequality over eight centuries of british capitalism abstract this paper constructs annual data for the wealth income ratio w y for the uk over the period 1210 2013 it is found that the w y ratio has fluctuated at one two century frequencies about a constant level of approximately 500 over the past eight centuries furthermore a u shaped w y path is identified over the past two centuries and it is argued that the descending part of the u shape is driven by the transition from pre industrial modes of production to industrialization and that the post 1980 upturn in the w y ratio represents the transition from the industrial to the post industrialization era

distributive politics and electoral competition abstract within the framework of pure redistribution dividing one unit of a homo geneous good among identical individuals the paper analyses the redistribution that arises from downsian two party electoral competition it appears that the strategic behavior of vote maximizing parties leads them to propose divisions which are not far from the egalitarian one journal of economic literature classification numbers c72 d63 d72

estimating the euler equation for aggregate investment with endogenous capital depreciation this article looks at the empirical consequences of introducing endogenous capital depreciation in the standard neoclassical model with quadratic adjustment costs to this end we formulate an empirical specification that accommodates capital maintenance and utilization in the euler equations for aggregate investment the empirical estimates with data from the canadian survey on capital and repair expenditures show that in contrast to the existing literature the performance of the euler equations is improved when we account for the impact of variable capital depreciation

new evidence on the retirement and depreciation of machine tools i introduction in the late 1970s and early 1980s charles hulten and frank wykoff 1979 1981a 1981b undertook a major effort to estimate economic depreciation for the u s capital stock their pioneering work which analyzed prices for many used assets became the primary reference for estimates of economic depreciation however since then research on depreciation has been limited despite the need to examine the robustness of hulten and wykoff s results and to cover assets omitted from their studies in addition little work has been done to estimate retirement distributions which also play an important role in the construction of capital stocks this paper provides new evidence on the depreciation and retirement patterns of machine tools a grouping that includes many types of equipment that cut or form metal the data were collected from a survey of dealers belonging to the machinery dealers national association these dealers provided information on the prices of used machine tools from their own sales records they also estimated certain facets of the retirement distribution for machine tools including the average service life the direction of change in the average life since the mid 1970s and the ages by which 25 percent and 75 percent of an investment cohort are retired machine tools can be divided into two broad groups the first consists of the conventional machines that require manual control from an operator although the design and safety of these conventional machines has improved over the years the pace of technical progress has been slow the second group consists of numerically controlled machines which are more highly automated than their conventional counterparts 1 american manufacturers began to install numerically controlled machines in large numbers during the 1970s and these machines have continued to replace conventional if machines on the factory floor however at the time of my survey conventional machines still represented the bulk of machine tools operating in the united states and the estimates of depreciation and retirement in this paper refer strictly to conventional machines the paper is organized as follows section ii traces the adoption of numerically controlled machines by u s industry and then models how this phenomenon would have affected the depreciation and retirement patterns of conventional machine tools section iii briefly describes the data set section iv analyzes the information on retirement patterns provided by the dealers while section v presents the estimates of economic depreciation section vi summarizes my findings and suggests avenues for further research ii adoption of numerically controlled machines evidence and implications at roughly five year intervals since the 1920s american machinist magazine has conducted an in depth inventory of the stock of machine tools used by american manufacturers for a detailed breakdown of machine types the inventory provides information on the number of machines in use and the age distribution of this stock table i uses the american machinist surveys to characterize the adoption of numerically controlled machines in the united states since the mid 1970s as shown on the first line the share of numerically controlled machines in the total machine tool stock rose from 1 8 percent in 1976 78 to 9 2 percent in 1989 this five fold increase in the share of numerically controlled machines in the existing stock implies a considerably higher share of these machines in new investment indeed as shown in the right hand columns of the table numerically controlled machines represented 17 1 percent and 25 2 percent of all machine tools acquired during 1979 83 and 1985 89 respectively 2 thus numerically controlled machines have become a significant part of total u s investment in machine tools table i also shows that the adoption of numerically controlled machines has varied widely across machine categories

production in advance versus production to order abstract we use a theoretical framework to compare production in advance type and production to order type environments carrying out our analysis in the framework of a symmetric capacity constrained bertrand edgeworth duopoly game we prove that the equilibrium profits are the same in case of production in advance and production to order in addition advance production results in higher prices than production to order if both games have an equilibrium in nondegenerated mixed strategies

bidding behavior in asymmetric auctions an experimental study abstract we review an asymmetric auction experiment based on plum int j game theory 20 1992 393 private valuations of the two bidders are independently drawn from distinct but commonly known distributions one of which first order stochastically dominates the other we test the qualitative properties of that model of asymmetric auctions in particular whether the weak bidder behaves more aggressively than the strong and then test bidders preference for first vs second price auctions

tax evasion tax competition and gains from nondiscrimination with equilibrium mixed strategies abstract this note extends janeba and peters econ j 109 1999 93 paper on tax evasion and tax competition by allowing for equilibrium mixed strategies it shows that discrimination is still the weakly dominant strategy for both countries

empirical studies of depreciation this paper surveys empirical research on depreciation based on an econometric model of asset prices introduced by hall in 1971 and shows how hall s model provides a vehicle for unifying research on constant quality price indices and depreciation an additional objective of the paper is to illustrate the use of this research in constructing an integrated system of income product and wealth accounts a system of vintage accounts like that originated by christensen and jorgenson in 1973 is the key to successful integration

bertrand edgeworth equilibrium with a large number of firms abstract we examine a model of price competition with strictly convex costs where the firms simultaneously decide on both price and quantity are free to supply less than the quantity demanded and there is discrete pricing if firms are symmetric then for a large class of residual demand functions there is a unique equilibrium in pure strategies whenever for a fixed grid size the number of firms is sufficiently large moreover this equilibrium price is within a grid unit of the competitive price the results go through to a large extent when the firms are asymmetric or they are symmetric but play a two stage game and the tie breaking rule is weakly manipulable

depreciation in production analysis and in income and wealth accounts resolution of an old debate strange as it seems this question of definition has itself been one of the most controversial issues in the whole theory of capital and depending on definitions we get into endless discussions as to how to measure the amount of capital trygve haavelmo 1960 43 emphasis in original most economic controversies about definition arise from a failure to keep in mind the relation of every definition to the purpose for which it is to be used sir john hicks 1942 175 i introduction controversies in the theory of capital have had their counterparts in the measurement of capital which hulten 1990 and others have called one of the most difficult tasks in economics depreciation has been one of the most controversial topics in the measurement of capital a major debate on depreciation concepts and measurement took place in 1972 a debate that has not fully been resolved in the literature on one side edward denison 1972 whose development of growth accounting was accompanied by innovations in measuring all the inputs that contribute to economic growth associated depreciation with the economic accounts concept of capital used up in production in economic accounts depreciation or capital consumption is the quantity subtracted from gross domestic product to obtain net domestic product he also interpreted capital used up as capital s contribution to production that is as a measure of capital input denison s position on capital is essentially identical with the view of capital in the economic accounts literature where depreciation has been interpreted both as an adjustment to income or wealth to account for the loss of value of a capital good and as a measure of the capital good s productive services arrayed on the other side were dale jorgenson and zvi griliches 1972 who were interested in capital measures as ingredients for the study of productivity and the analysis of production in their view depreciation was not a measure of capital input at all but rather a component of the cost of capital services following jorgenson 1974 they computed the contribution of capital to production capital input in a way that made no explicit use of the economic accounts concept of capital used up in production in subsequent exchanges over the past two decades each side has more or less taken the position that its view is right and the other wrong see for example the exchange between young and musgrave 1980 and their discussants rymes 19c 0 and faucett 1980 in consequence a cleavage has persisted between the measures of economic depreciation employed in economic accounts and those that are desired by production analysts and productivity researchers in this article i propose a resolution for the controversy over depreciation as with most controversies the depreciation controversy has many strands which cannot always be unravelled neatly and it has been muddied by confusions the essence of the controversy arose from two different views of what it means to maintain capital intact in economic accounts capital is maintained intact when its potential lifetime productiveness preserves hicksian income capital used up in production is the loss of potential capital productiveness that must be replaced in order to maintain capital intact in the income or wealth sense in production analysis capital is maintained intact when the stock of capital yields the same input capital services to the current period s production as before deterioration is the loss in capital productiveness that must be replaced in order to maintain capital intact in the productive sense these are not equivalent definitions of maintaining capital intact a point developed in the paper both definitions are consistent with capital theory both are valid but for different analytical purposes as the preceding paragraph suggests the depreciation controversy also involved failure to distinguish adequately among the concepts of capital that are appropriate for different purposes exactly the failure noted by hicks in 1942

firms r d decisions under incomplete information abstract the paper considers a patent race in which firms do not know their relative positions in this setting firms that start in the same position proceed at the highest possible speed and if one firm has an initial advantage it preempts the rival but at the cost of dissipating a significant part of its monopoly rent so the paper shows that incomplete information in a patent race leads to rent dissipation the latter is higher the higher the value of the prize and the lower the cost of r d thus for innovations that provide relatively high profits the time to discovery is shortened but the social losses are likely to be high due to duplication of effort

bertrand edgeworth oligopoly in large markets the relation between perfectly competitive and monopolistically competitive equilibria is analysed for a bertrand edgeworth model of a single market in which capacity constrained firms choose prices as strategies the market always has a nash equilibrium in pure or mixed strategies as the number of firms increases the corresponding equilibria converge in distribution to a perfectly competitive price this result provides a justification for perfect competition that is based on an explicit account of price formation however monopoly prices persist with a positive but vanishing probability regularity or well defined inverse demand functions are not required

symmetric games with only asymmetric equilibria abstract it is known that not every symmetric game has a symmetric equilibrium because there are examples of symmetric games that fail to have any equilibria at all but this leads to the following question if a symmetric game has a nash equilibrium does it have a symmetric nash equilibrium in this note we show that the answer to this question is no by providing two examples of symmetric games that have only asymmetric equilibria

tacit collusion in the presence of cyclical demand and endogenous capacity levels abstract we analyze tacit collusion in an industry characterized by cyclical demand and long run scale decisions firms face deterministic demand cycles and choose capacity levels prior to competing in prices our focus is on the nature of prices we find that two types of price wars may exist in one collusion can involve periods of mixed strategy price wars in the other consistent with the rotemberg and saloner 1986 definition of price wars we show that collusive prices can also become counter cyclical we also establish pricing patterns with respect to the relative prices in booms and recessions if the marginal cost of capacity is high enough holding current demand constant prices in the boom are generally lower than the prices in the recession this reverses the results of haltiwanger and harrington 1991 in contrast if the marginal cost of capacity is low enough then prices in the boom are generally higher than the prices in the recession for costs in an intermediate range numerical examples are calculated to show specific pricing patterns

quality corrected price indices the case of the dutch new passenger car market 1990 1999 market dynamics and technological developments constitute a major challenge to the proper measurement of the price evolution of durable goods in this study hedonic methods are used to estimate quality corrected price indices of new passenger cars in the netherlands 1990 1999 use is made of a huge set of price quantity and quality information about 11 000 car models obtained from different sources during the observation period the nominal price level of all available car models increased about 20 on average while the shares of car models with airbags tinted glass and power steering increased from almost nothing to about 90 matched model price indices and the official cpi for new passenger cars which partially account for quality adjustments estimate the price increase to be equal to 10 6 14 2 respectively 11 2 for the 1990 1999 period by contrast the hedonic fisher like price indices based on the preferred annually estimated brand weighted semi log hedonic model lead to price changes var

working to improve the consumer price index he recent report of the advisory commission appointed by the u s senatefinance committee begins with one overarching recommendation thebls should establish a cost of living index coli as its objective in mea suring consumer prices u s senate 1996 p 2 this seems basically right to us indeed the bls has long said that the cost of living framework guides operationaldecisions about the construction of the index gillingham 1974 u s bureau oflabor statistics 1984 1988 1992 1997a putting things slightly differently if thebls staff or other technical experts knew how to produce a true cost of living indexon a monthly production schedule that would be what we would produce althoughwe have no fundamental disagreement with the commission about what the objec tive of the cpi program ought to be we may disagree to some extent about theapproaches and methods that are appropriate and feasible in working toward thatobjective this is a point to which we will return below our rst purpose in the present paper is to comment on the advisory com mission s report and the recommendations it contains