cooperative and noncooperative r d in duopoly with spillovers contrary to the usual assumption made in most oligopoly models relations among firms are seldom of a wholly cooperative or noncooperative type in many situations they compete in some fields while they cooperate in others an important example is the case of cooperative research efforts bringing fierce competitors together two types of agreement are observed first r d cooperation can take place at the so called precompetitive stage companies share basic information and efforts in the r d stage but remain rivals in the market place 1 a second type of agreement involves an extended collusion between partners creating common policies at the product level the usual justifications of this extension are the difficulties of protecting intellectual property the idea is then to allow partners who have achieved inventions together to also control together the processes and products which embody the results of their collaboration in order to recuperate jointly their r d investments 2 what could be expected from these types of agreement is a reduction in r d expenditures because of less wasteful duplication and a reduction of total production because of more reprinted from the american economic review 78 5 1133 1137 1988 center for operations research econometrics 1348 louvain la neuve belgium we are grateful to jean

monetary aggregates and liquidity in a neo wicksellian framework woodford 2003 describes a popular class of neo wicksellian models in which monetary policy is characterized by an interest rate rule and the money market and financial institutions are typically not even modeled critics contend that these models are incomplete and unsuitable for monetary policy evaluation our banks and bonds model starts with a standard neo wicksellian model and then adds banks and a role for bonds in the liquidity management of households and banks the banks and bonds model gives a more complete description of the economy but the neo wicksellian model has the virtue of simplicity our purpose here is to see if the neo wicksellian model gives a reasonably accurate account of macroeconomic behavior in the more complete banks and bonds model we do this by comparing the models second moments variance decompositions and impulse response functions we also study the role of monetary aggregates in predicting inflation in the two models

money and the natural rate of interest structural estimates for the united states and the euro area abstract we examine the role of money in three environments the new keynesian model with separable utility and static money demand a nonseparable utility variant with habit formation and a version with adjustment costs for holding real balances the last two variants imply forward looking behavior of real money balances with forecasts of future interest rates entering current portfolio decisions we conduct a structural econometric analysis of the u s and euro area economies fiml estimates confirm the forward looking character of money demand a consequence is that real money balances are valuable in anticipating future variations in the natural interest rate

does money matter in shaping domestic business cycles an international investigation we study the contribution of money to business cycle uctuations in the us the uk japan and the euro area using a small scale structural monetary business cycle model constrained likelihood based estimates of the parameters are provided and time instabilities analyzed real balances are statistically important for output and in ation uctuations their contribution changes over time models giving money no role provide a distorted representation of the sources of cyclical uctuations of the transmission of shocks and of the events of the last 40 years

monetary policy indeterminacy and identification failures in the u s results from a robust test we propose a novel identi cation robust test for the null hypothesis that an estimated new keynesian model has a reduced form consistent with the unique stable solution against the alternative of sunspot driven multiple equilibria our strategy is designed to handle identi cation failures as well as the misspeci cation of the relevant propagation mechanisms we invert a likelihood ratio test for the cross equation restrictions cer that the newkeynesian system places on its reduced form solution under determinacy if the cer are not rejected sunspot driven expectations can be ruled out from the model equilibrium and we accept the structural model otherwise we move to a second step and invert an anderson and rubin type test for the orthogonality restrictions or implied by the system of euler equations the hypothesis of indeterminacy is accepted if the or are not rejected we investigate the nite sample performance of the suggested two steps testing strategy by some monte carlo experiments we apply our robust test to a new keynesian ad as model estimated with actual u s post wwii data in spite of some evidence of weak identi cation

reconsidering the role of money for output prices and interest rates abstract new keynesian models of monetary policy downplay the role of monetary aggregates in the sense that the level of output prices and interest rates can be determined without knowledge of the quantity of money this paper evaluates the empirical validity of this prediction by studying the effects of shocks to monetary aggregates using a vector autoregression var shocks to monetary aggregates are identified by the restrictions suggested by new keynesian monetary models contrary to the theoretical predictions shocks to broad monetary aggregates have substantial and persistent effects on output prices and interest rates

inter industry r d spillovers what difference do they make the analytical framework of d aspremont and jacquemin the american economic review 1988 78 1133 1137 is extended to a two industry two firm perindustry model allowing for r d spillovers to occur within industries as well as between industries in the first part of the paper we analyze the impact of intra and inter industry r d spillovers on the level of strategic r d investments output profits and total welfare when firms compete in both the r d and output stage in the second part we compare the equilibrium outcomes that result from r d cooperation which includes both intra and inter industry r d agreements inter industry r d spillovers have a very important effect on a firm s incentives to invest in r d both directly and indirectly because of their influence on the likely impact of intra industry r d spillovers also r d agreements that cut across industries may be more socially beneficial than cooperatives whose membership comes from a single industry

vertical research joint ventures abstract we examine the incentives of firms to form vertical research joint ventures rjvs which enable an upstream supplier to internalize the positive externality of its innovation on a downstream market while giving the downstream members a cost advantage over their non member rivals under the cost sharing rules considered the upstream member desires a larger rjv compared to the downstream members r d subsidies may be detrimental to social welfare the optimal rjv size for the upstream downstream member decreases increases with r d cost and increases decreases with the gains from innovation and the size of market an increase in upstream competition has the effect of enlarging the optimal rjv

the role of information sharing in cooperative research and development abstract this paper develops a model in which r d cooperation enables firms to increase the probability of discovering a new product by sharing information about research strategies and outcomes numerical computations of equilibrium show that cooperation tends to increase in the underlying probability of research success total surplus generally increases as more firms cooperate and cooperation in equilibrium never exceeds that which maximizes total surplus however when the probability of an innovation s success is relatively low no cooperation occurs nor will much be socially desired finally self imposed limits on membership in the cooperative entity tend to reduce total surplus

non stationary hours in a dsge model the time series fit of dynamic stochastic general equilibrium dsge models often suffers from restrictions on the long run dynamics that are at odds with the data using bayesian methods we estimate a stochastic growth model in which hours worked are stationary and a modified version with permanent labor supply shocks if firms can freely adjust labor inputs the data support the latter specification once we introduce frictions in terms of labor adjustment costs the overall time series fit improves and the model specification in which labor supply shocks and hours worked are stationary is preferred

convergence capital accumulation and the nominal exchange rate this paper develops a exible price two sector growth model with a nominal side in order to study the role of the exchange rate regime in transition dynamics capital and nancial wealth accumulation we adopt a standard model of a small open economy with traded and nontraded goods and enrich its structure with costly investment and a preference for real money holdings we show analytically that i the choice of the exchange rate regime in uences the transition dynamics of a small open economy ii a one sector model does not adequately capture the channels through which the nominal side interacts with real variables

direct effects of base money on aggregate demand theory and evidence abstract meltzer the transmission process working paper carnegie mellon university 1999a shows that real monetary base growth is a significant determinant of consumption growth in the us controlling for the short term real interest rate in this paper i show that the same property of base money holds for total output relative to trend or potential in both the us and the uk the standard optimizing is lm model cannot account for this result but i show that it can once the long term nominal interest rate is included in the money demand function because the long term real rate matters for aggregate demand the presence of the long term nominal rate in the money demand function increases the effect of nominal money stock changes on real aggregate demand when prices are sticky

disclosure of know how in research joint ventures abstract research joint ventures rjvs usually face technical uncertainty their expected cost typically depending on the know how disclosed by the partners however the partners have little incentive to share their know how when they are simultaneously competitors in other markets in this setting we show that sometimes profitable rjvs do not start when the disclosure of know how is not contractible and characterize the incentive contracts when they exist we also analyze rjvs as an alternative to licensing contracts for the transmission of know how finally we show that the eec s technology policy based on cost subsidies has negative consequences on firms incentives to share know how

interest rates and inflation a consensus has emerged among practitioners that the instrument of monetary policy ought to be the short term interest rate that policy should be focused on the control of inflation and that inflation can be reduced by increasing short term interest rates at the center of this consensus is a rejection of the quantity theory such a rejection is a difficult step to take given the mass of evidence linking money growth inflation and interest rates increases in average rates of money growth are associated with equal increases in average inflation rates and interest rates these observations need not rule out a constructive role for the use of short term interest rates as a monetary instrument one possibility is that increasing short term rates in the face of increases in inflation is just an indirect way of reducing money growth sell bonds and take money out of the system another possibility is that while control of monetary aggregates is the key to low long run average inflation rates an interest rate policy can improve the short run behavior of interest rates and prices the shortrun connections among money growth inflation and interest rates are very unreliable so there is much room for improvement these possibilities are surely worth exploring but doing so requires new theory the analysis needed to reconcile interest rate policies with the evidence on which the quantity theory of money is grounded cannot be found in old textbook diagrams

cooperative and noncooperative r d in an oligopoly with spillovers this paper examines the positive and normative effects of cooperative r d whereby member firms commit themselves to the joint profit maximizing level of r d in a precompetitive stage but remain fierce competitors in the product market vis a vis noncooperative r d socially first best r d and socially second best r d in the presence of sufficiently large r d spillovers neither noncooperative nor cooperative equilibria achieve even second best r d levels in the absence of spillover effects however while the cooperative r d level remains socially insufficient the noncooperative level may overshoot first and second best levels of r d copyright 1992 by american economic association

optimal asymmetric strategies in research joint ventures abstract this paper identifies an overlooked implication of models of research joint ventures initiated by d aspremont and jacquemin 1988 even though the aggregate r d cost of identical firms in a research joint venture would be lowest if they invested equally to reduce subsequent production costs nonetheless members may often enlarge their overall joint profit by making unequal investments such a strategy raises costs in the investment stage but may create more than offsetting benefits in the production stage since industry profits are larger there when the firms are of unequal size when the consideration leading to asymmetry prevails we find that in contrast to previous work a research joint venture can raise welfare even when there are no spillovers

downstream r d raising rivals costs and input price contracts we analyze the incentives for cost reducing r d by downstream firms in a two tier market structure by increasing the demand for an input downstream r d allows the upstream firm to raise its input price this lowers the benefit of r d to a downstream firm but raises its rivals costs as a result a downstream oligopolist may invest more in r d than a downstream monopolist a phenomenon that is absent in a purely horizontal r d setting fixed price agreements where the input price remains unchanged following downstream r d promote innovation by eliminating the opportunistic behavior of the input supplier and are welfare enhancing

strategic r d with spillovers collusion and welfare the author considers a two stage r d then output or price duopoly game in which r d spills over so reducing the marginal cost of both the investing firm and its rival the author compares the noncooperative regime to three collusive regimes joint venture collusion on r d price fixing collusion at the price or output stage and merger collusion at both stages and evaluates under what circumstances a collusive regime improves welfare if spillovers are sufficiently large all three regimes are beneficial although mergers are more likely and price fixing less likely to produce specific benefits than are joint ventures copyright 1994 by blackwell publishing ltd

political competition within and between parties an application to environmental policy this paper presents a political economy model that explains the low rate of emission taxes in the u s as well as the fact that neither democrats nor republicans propose to increase them the voters differ according to their wage and capital incomes which are assumed to have a bivariate lognormal distribution they vote over the emission tax rate and a budgetary rule that specifies how to redistribute the tax proceeds the political competition is modeled a la roemer 2001 where the two parties care for the policies they propose as well as the probability of winning the equilibrium solution concept is the party unanimity nash equilibrium pune we calibrate the model using u s data and compute the punes numerically two main results emerge all viable punes entail subsidies on emissions as opposed to taxes this indicates the importance of distributional concerns in garnering political support for environmental policies second parties always propose an interior value for the budgetary rule even though all citizens prefer extreme values this illustrates the emergence of political compromise to attract voters

monetary policy and the transaction role of money in the us the declining importance of money in transactions can explain the well known fact that u s interest rate policy was passive in the pre volcker period and active after 1982 we generalise a standard cashless new keynesian model woodford2003 by incorporating an explicit transaction role for money in the pre volcker period we estimate that money did play an important role and determinacy required a passive interest rate policy however after 1982 money no longer played an important role in facilitating transactions correspondingly the conventional view prevails and an active policy ensured equilibrium determinacy

cooperative and noncooperative r d in duopoly with spillovers comment claude d aspremont and alexis jacquemin 1988 employ a simple yet elegant symmetric duopoly model of r d and spillovers to compare several equilibrium concepts these concepts include 1 the two stage noncooperative solution 2 the two stage mixed game 3 the two stage fully cooperative solution 2 and 4 the social planner s optimum 3 for each of the cases stated above they computed the equilibrium levels of output q q1 q2 and r d xl x2 x and the required second order conditions they report i for large spillovers i e b 0 5 x x x and q q q q and ii for small spillovers i e 3 x 2x x and q q q q where x denotes a firm s r d level q denotes total industry output denotes the social optimum denotes the fully cooperative model the noncooperative two stage case and the mixed game 3 is the spillover parameter here we show that comparing the pure cooperative and the pure noncooperative solutions as defined by d aspremont and jacquemin is only meaningful when the noncooperative solution is stable that is when spillovers are not too small we find that for very small spillovers in our example this occurs when 3 0 17 the d aspremont jacquemin observation holds because the noncooperative model is unstable the importance of this result rests on the fact that even though the output reaction functions cross correctly when 3 0 17 the r d reaction functions do not when 0 17 0 41 stability obtains but r d levels are higher in the noncooperative case than the fully cooperative one for large spillovers the d aspremont jacquemin result is confirmed moreover we find that the introduction of spillovers in the case of the noncooperative model tends to promote stability in the case of the cooperative model however as the level of spillovers is increased an equilibrium ceases to exist

equilibrium and optimal size of a research joint venture in an oligopoly with spillovers this paper analyzes a simple oligopoly model with information spillovers firms spend on r d to affect their costs of production the main finding is that depending on the magnitude of the spillover the market may not provide enough incentives for the optimum degree of cooperation to take place it is shown that the equilibrium size of a research joint venture is usually less than the optimum size which requires all firms to participate in the research joint venture the policy implications of this result are that there should be encouragement for firms competing in high technology industries to form industry wide cooperative agreements copyright 1995 by blackwell publishing ltd

modelling imperfectly appropriable r d via spillovers abstract we provide an extensive comparison of the well known r d models of d aspremont jacquemin and kamien muller zang exposing full or partial conflict in key conclusions and policy prescriptions using a mix of formal and or intuitive criteria we argue that the first model is of questionable validity for large spillover values the latter being characterized by jointly increasing returns to scale in the r d process an argument leading to equivalence between the two r d processes but not to agreement on some key conclusions is exposited in conclusion the models emerge as fundamentally different although a unilateral shift in the cost function of the first leads to agreement in all equilibrium outcomes

the dynamic impacts of monetary policy an exercise in tentative identification it is currently popular to identify monetary policy shocks with innovations in some measure of reserves or in the federal funds rate these assumptions about the interest elasticity of the supply of or demand for reserves imply monetary policy shocks that produce dynamic responses of macroeconomic variables that are anomalous relative to traditional monetary analyses this paper tentatively identifies supply and demand shocks in the markets for reserves and m2 for the 1980s and contrasts them with results for the 1970s in the later period identified monetary policy shocks have dynamic impacts that are fully consistent with traditional analyses

investment shocks and business cycles abstract the origins of business cycles are still controversial among macroeconomists this paper contributes to this debate by studying the driving forces of fluctuations in an estimated new neoclassical synthesis model of the u s economy in this model most of the variability of output and hours at business cycle frequencies is due to shocks to the marginal efficiency of investment imperfect competition and to a lesser extent technological frictions are the key to their transmission although labor supply shocks explain a large fraction of the fluctuations in hours at very low frequencies they are irrelevant over the business cycle this finding is important because the microfoundations of these disturbances are widely regarded as unappealing

monetary policy trade offs with a dominant oil producer we model oil production decisions from optimizing principles rather than assuming exogenous oil price shocks and show that the presence of a dominant oil producer leads to sizable static and dynamic distortions of the production process under our calibration the static distortion costs the u s around 1 6 of gdp per year in addition the dynamic distortion reflected in inefficient fluctuations of the oil price markup generates a trade off between stabilizing inflation and aligning output with its efficient level our model is a step away from discussing the effects of exogenous oil price variations and toward analyzing the implications of the underlying shocks that cause oil prices to change in the first place

liquidity traps and large scale financial crises this paper estimates a nonlinear threshold var to investigate if a keynesian liquidity trap due to a speculative motive was in place in the u s great depression and the recent great recession we find clear evidence in favor of a breakdown of the liquidity effect after an unexpected increase in m2 in the 1921 1940 period this evidence which is consistent with the keynesian view on a liquidity trap is shown to be state contingent in particular it emerges only when a speculative regime identified by high realizations of the dow jones index is considered a standard linear framework is shown to be ill suited to test the hypothesis of a keynesian liquidity trap an investigation performed with the same data for the period 1991 2010 confirms the presence of a liquidity trap just in the speculative regime this last result emerges significantly only when we consider the federal funds rate as the policy instrument and we model the divisia m2 measure of liquidity

money s role in the monetary business cycle a small structural model of the monetary business cycle implies that real money balances enter into a correctly specified forward looking is curve if and only if they enter into a correctly specified forward looking phillips curve the model also implies that empirical measures of real balances must be adjusted for shifts in money demand to accurately isolate and quantify the dynamic effects of money on output and inflation maximum likelihood estimates of the modelos parameters take both these considerations into account but still suggest that money plays a minimal role in the monetary business cycle

strategic investment with asymmetric spillovers this paper investigates the implications of asymmetric spillovers on noncooperative strategic investments in a duopoly with quadratic pay offs a unique equilibrium in the announcement of the leader follower role exists in the case where one firm absorbs large spillovers while the other at most is able to receive only small spillovers the leader in this equilibrium is the firm that absorbs the large spillovers other asymmetries in initial costs or efficiency in research and development do not affect this outcome

stochastic growth in the united states and euro area this paper estimates using data from the united states and the euro area a two country stochastic growth model in which both neutral and investment specific technology shocks are nonstationary but cointegrated across economies the results point to large and persistent swings in productivity both favorable and adverse originating in the united states but not transmitted to the euro area more specifically the results suggest that while the euro area missed out on the period of rapid investment specific technological change enjoyed in the united states during the 1990s it also escaped the stagnation in neutral technological progress that plagued the united states in the 1970s

eurosystem monetary targeting lessons from u s data abstract using a small empirical model of inflation output and money estimated on u s data we compare the relative performance of monetary targeting and inflation targeting the results show monetary targeting to be quite inefficient yielding both higher inflation and output variability this is true even with a nonstochastic money demand formulation our results are also robust to using a p model of inflation therefore in these popular frameworks there is no support for the prominent role given to money growth in the eurosystem s monetary policy strategy

the structural dynamics of output growth and inflation some international evidence we examine the dynamics of output growth and inflation in the us euro area and uk using a structural time varying coefficient var there are important similarities in structural inflation dynamics across countries output growth dynamics differ swings in the magnitude of inflation and output growth volatilities and persistences are accounted for by a combination of three structural shocks changes over time in the structure of the economy are limited and permanent variations largely absent changes in the volatilities of structural shocks matter

cooperative r d between vertically related firms with spillovers abstract this paper analyzes the effects of cooperative r d in two vertically related duopolies which are two final good manufacturers and two input suppliers with horizontal and vertical spillovers vertical r d cartels yield a larger social welfare than non cooperative r d and if the horizontal spillover rate between the input suppliers is not sufficiently high than horizontal r d cartels technological improvement is accelerated by forming vertical research joint ventures rjvs whether or not their member firms r d decisions are coordinated vertical rjv cartels yield the largest social welfare when the vertically related firms can coordinate their r d decisions and or share useful knowledge fully

estimating the evolution of money s role in the u s monetary business cycle we assess money s role in the post wwii u s business cycle by employing both fixed coefficient and rolling window bayesian estimations of a structural model of the business cycle with money our empirical evidence favors a specification with drifting parameters for money consumption nonseparability and the federal reserve s reaction to nominal money growth the role of money is estimated to have been important during the 1970s and declined afterward the omission of money produces severely distorted impulse response functions relative to the model with money money is found to be important in replicating the u s output volatility during the great inflation

why money growth determines inflation in the long run answering the woodford critique woodford 2007 argues that it is not appropriate to regard inflation in the steady state of new keynesian models as determined by steady state money growth woodford instead argues that the intercept term in the monetary authority s interest rate policy rule determines steady state inflation in this paper i offer an alternative interpretation of steady state behavior according to which it is appropriate to regard steady state inflation as determined by steady state money growth the argument relies on traditional interpretations of the central bank s power in the long run and appeals to model properties that are common to textbook and new keynesian analysis according to this argument the only way the central bank can control interest rates in the long run is via affecting inflation and its only means available for determining inflation is by determining the money growth rate

money and output new evidence based on wavelet coherence abstract we reassess the relationship between money and output using quarterly data from the us economy we use several tools based on wavelets the wavelet power transform and the wavelet coherence with which we analyze this relationship in both time and frequency we find evidence of a weaker relationship within the great moderation as well as a stronger relationship during the great recession

were there regime switches in u s monetary policy working paper 2004 14 june 2004 abstract a multivariate model identifying monetary policy and allowing for simultaneity and regime switching in coefficients and variances is confronted with u s data since 1959 the best fit is with a model that allows time variation in structural disturbance variances only among models that also allow for changes in equation coefficients the best fit is for a model that allows coefficients to change only in the monetary policy rule that model allows switching among three main regimes and one rarely and briefly occurring regime the three main regimes correspond roughly to periods when most observers believe that monetary policy actually differed and the differences in policy behavior are substantively interesting though statistically ill determined the estimates imply monetary targeting was central in the early 80s but was also important sporadically in the 70s the changes in regime were essential neither to the rise in inflation in the 70s nor to its decline in the 80s jel classification e52 e47 c53 key words counterfactuals lucas critique policy rule monetary targeting simultaneity volatility model comparison i the debate over monetary policy change in an influential paper clarida gali and gertler 2000 cgg presented evidence that us monetary policy changed between the 1970 s and the 1980 s indeed that in the 70 s it was drastically worse they found that the policy rule apparently followed in the 70 s was one that when embedded in most stochastic general equilibrium models would imply non uniqueness of the equilibrium and hence vulnerability of the economy to sunspot fluctuations of arbitrarily large size their estimated policy rule for the later period on the other hand eliminated this indeterminacy these results are a possible explanation of the volatile and rising inflation of the 70 s and of its subsequent decline the cgg analysis has two important weaknesses one is that it fails to account for stochastic volatility us macroeconomic variables and particularly the federal funds rate have gone through periods of tranquility and of agitation with forecast error variances varying greatly from period to period ignoring such variation does not lead to inconsistent estimates of model parameters when the forecasting equations themselves are constant but it strongly biases toward a finding of changed parameters tests of the stability of the forecasting equations the other weakness is that the cgg analysis rests on powerful and implausible identifying assumptions they require that we accept that the response of the monetary authority to expected future inflation and output does not depend on the recent history of inflation money growth or output it is hard to understand why this should be so especially in the 70 s when monetarism was a prominent theme in policy debates congress was requiring reports from the fed of projected time paths of monetary aggregates and financial markets were reacting sensitively to weekly money supply numbers the requirement for existence and uniqueness of equilibrium in dynamic models is that the monetary policy rule show a more than unit response of interest rates to the sum of the logs of all nominal variables that appear on the right hand side of the reaction function if we force a particular measure of expected future inflation to proxy for all the nominal variables that actually appear independently in the reaction function we are bound to get distorted conclusions on the one hand because expected future inflation will be a noisy measure of the full set of nominal influences on policy we might get downward bias in our estimates from the usual errorsin variables effect on the other hand to the extent that expected future inflation like most expected future values shows less variation than current nominal variables we could find a mistaken scaling up of coefficients

money in the production function a new keynesian dsge perspective this article checks whether money is an omitted variable in the production process by proposing a microfounded new keynesian dynamic stochastic general equilibrium model in this framework real money balances enter the production function and money demanded by households is differentiated from that demanded by firms using a bayesian analysis our model weakens the hypothesis that money is a factor of production however the demand of money by firms appears to have a significant impact on the economy even if this demand has a low weight in the production process

endogenous spillovers and the performance of research joint ventures we present a model of r d with endogenous spillovers and demonstrate that noncooperation can produce maximal spillovers the only other noncooperative outcome is minimal spillovers when noncooperation achieves maximal spillovers so does an rjv whereas minimal noncooperative spillovers imply partial but not necessarily maximal spillovers by an rjv partial rjv spillovers are chosen for anti competitive reasons and an rjv may also close a lab for anti competitive reasons the possibility of anti competitive outcomes is precluded in the existing literature on rjvs which focuses on symmetric outcomes our model predicts when anti competitive behaviour by an rjv arises

cooperative r d and vertical product differentiation abstract a partial equilibrium model with vertical product differentiation coumot competition and quality determined by r d expenses is analysed cooperative agreements on r d entail higher levels of r d quality output and welfare than at the non cooperative equilibrium under well denned conditions on spillover rates this confirms in a new setting a well known outcome of models with cost reducing r d further cooperation in r d allows a larger number of firms to operate in the industry than in the non cooperative case via a reduction in prices a new source of social gains from cooperative research is identified

r d spillovers and information exchange abstract we show that the spillover of r d can be endogenised in a sense that even without spillovers firms have an incentive to exchange the r d information after the investment costs are sunk