on taxation in a two sector endogenous growth model with endogenous labor supply abstract this paper studies the effects of taxation on long run growth in a two sector endogenous growth model with i physical capital as an input in the education sector and ii leisure as an additional argument in the utility function income taxation the same rate applies for capital and labor income reduces the growth rate the same is true if only labor income is taxed however if only capital income is taxed the positive effect of an increase in total non leisure time may dominate the direct negative effect implying that capital taxation increases the long run growth rate

nonmonetary effects of the financial crisis in propagation of the great depression this paper examines the effects of the financial crisis of the 1930s onthe path of aggregate output during that period our approach is complementary to that of friedman and schwartz who emphasized the monetary impact of the bank failures we focus on non monetary primarily credit related aspects of the financial sector output link and consider the problems of debtors as well as those of the banking system we argue that the financial disruptions of 1930 33 reduced the efficiency of the credit allocation process and that the resulting higher cost and reduced availability of credit acted to depress aggregate demand evidence suggests that effects of this type can help explain the unusual length and depth of the great depression this abstract was borrowed from another version of this item

on the indeterminacy of capital accumulation paths abstract in neoclassical optimal growth models the stability of the accumulation paths depends on the discount parameter we prove that for discount factors small enough the policy function which describes an optimal path can be of any type the result is achieved using the notion of concavity we adopt a constructive approach given any twice differentiable map we show how to construct an optimal growth problem which produces that map as the optimal policy function a consequence is that chaos can appear in these models we also provide bounds on the values of the discount parameter for which indeterminacy is possible

the role of market forces in assuring contractual performance the conditions under which transactors can use the market repeat purchase mechanism of contract enforcement are examined increased price is shown to be a means of assuring contractual performance a necessary and sufficient condition for performance is the existence of price sufficiently above salvageable production costs so that the nonperforming firm loses a discounted steam of rents on future sales which is greater than the wealth increase from nonperformance this will generally imply a market price greater than the perfectly competitive price and rationalize investments in firm specific assets advertising investments thereby become a positive indicator of likely performance

a framework for monetary and banking analysis one of the benefits of monetary instability is that it reminds us both by inducing change in financial institutions and by bringing out the monetary cranks that the monetary arrangements we take for granted are not immutable in this paper i set out and analyse a simple model of money banking and price level determination the model is first used to illustrate recent developments in the theory and analysis of banking the assumptions are then extended to analyse price level determination in an economy becoming an inside money economy as high powered money goes out of use the paper concludes by raising the major unresolved questions about banking money and price level determination the topics i shall discuss have only recently again become popular in the united states but they have a long history at the centre of monetary and macro economics the contributions of wicksell 1936 original in 1898 patinkin 1965 the radcliffe commission 1960 tobin 1963 and gurley and shaw 1963 are the best known of the classic analyses more recently black 1970 fama 1980 and others have returned to the questions of what if anything distinguishes banks from other financial intermediaries how an inside money economy would operate and what monetary arrangements other than current fiat money systems might be developed

transfer pricing in a dynamic marketing operations interface abstract a transfer price mechanism is proposed to coordinate the strategies of the marketing and operations functional areas operating in a dynamic interface environment in a decentralized firm marketing and operations are strategic decision makers in a differential game in which marketing has price and advertising and operations has production as control variables and advertising goodwill and production backlog are state variables a constant transfer price is entered into the objective functionals for marketing and operations and subgame perfect feedback strategies are derived for price advertising and production as functions of the state variables the feedback strategies allow a solution for the dynamic system involving goodwill and backlog and the total payoff to the firm the sum of the payoffs to marketing and operations is determined as a function of the transfer price finally for certain parameter conditions an interior maximum of the payoff function is achieved and the optimal transfer price is identified

stationary sunspot equilibria in a finance constrained economy abstract stationary sunspot equilibria are shown to exist in a production economy with infinite lived agents when it is not possible to borrow against future wage income equilibrium fluctuations exhibit persistence over time scales of the same order of magnitude as observed business cycles an active fiscal policy that stabilizes aggregate money expenditures can prevent such fluctuations

deposit insurance reform what are the issues and what needs to be fixed abstract the current problems in the commercial banking industry have led to widespread calls for reform of the deposit insurance contract on the grounds that it promotes moral hazard we review the empirical evidence for the significance of moral hazard as an important cause of the present crisis we then evaluate various reform proposals grouped into two broad classes proposals that seek to impose greater discipline on bank stockholders and proposals to increase the disciplinary role of bank debtholders finally we identify some issues that have received inadequate attention in the literature on bank regulation

trade in and save a two period closed loop supply chain game with price and technology dependent returns abstract consumers evaluate the convenience of changing their products according to the price paid as well as the technology quality level when the consumers wish to capitalize the products residual value they should return them as early as possible accordingly we develop a model of closed loop supply chain clsc where consumers seek to gain as much as possible from their returns and the return rate is a function of both price and quality we model a two period stackelberg game to capture the dynamic aspects of a clsc where the manufacturer is the channel leader we investigate who namely manufacturer or retailer should collect the products in the market thus we identify the best clsc structure to adopt when the return rate is both price and quality dependent our results demonstrate that it is always worthwhile for companies to collect products and adopt an active return approach for returns we investigate the effect of retail competition in both forward and backward channels and show the impact of eliminating the double marginalization on market outcomes

financial market efficiency the decomposition of anticipated versus unanticipated money growth and further tests of the relation between money and real output note probably the most controversial empirical findings in macroeconomics in the last decade stem from robert barro s investigations into the relative effects of unanticipated versus anticipated money growth on unemployment and real output these studies generally proceed by decomposing observed money growth into what is defined to be its anticipated and unanticipated components and then test the restriction that only the unanticipated money measure has important effects for unemployment and real output in black box reduced form real side equations that include determinants of the natural rates of unemployment and real output as additional explanatory variables l the results of these tests for the annual postwar u s data generally cannot reject the hypothesis that only unanticipated money growth is important for the determination of aggregate real activity 2 anticipated money growth is found to be neutral for unemployment and real output these results are important because they give empirical support to the assertion that the apparent nonneutrality of observed money growth does not provide any firm basis for the efficacy of a systematic countercyclical monetary policy it should be clear that a crucial problem in testing for the neutrality nonneutrality of anticipated unanticipated money growth lies in developing an appropriate decomposition of observed money growth into its anticipated and unanticipated parts small 13 mishkin 8 and weintraub 14 among others have

risk shifting incentives of depository institutions a new perspective on federal deposit insurance reform abstract we characterize the risk shifting incentives of a depository institution as arising fundamentally from the existence of limited liability and the associated convex payoff to equity holders this risk incentive feature is unchanged by deposits being insured and hence excessive risk taking by depository institutions is not solely attributable to the flat rate insurance premium consequently the incentive problem cannot be resolved through a risk based insurance premium contrary to the prevailing view we propose a solution that eliminates risk shifting through an optimal tax structure and specify a corresponding insurance premium that is revenue neutral from the social planner s regulator s standpoint the solution is derived in the context of a social objective function that trades off the benefits of liquidity services by banks and the unique informational role of bank loans with the costs of investment distortions engendered by risk shifting

competitive business cycles in an overlapping generations economy with productive investment abstract this paper examines the emergence of long run competitive periodic equilibria in a two period overlapping generations model with capital accumulation the existence of periodic equilibria is a consequence of the existence of an aggregate bubble money and of a non linear behaviour of aggregate savings the technique used is to show that the problem can be reduced to the study of a dynamical map from an interval into itself although it is originally two dimensional this will allow us to study the occurrence of cycles from a global point of view

poverty traps indeterminacy and the wealth distribution we consider a one sector growth model in continuous time with a production externality and endogenous labor supply there is a continuum of households who have identical preferences but differ with respect to their initial wealth we show that there exist economies such that an indeterminate steady state exists for some wealth distribution but not for others a second result is that a redistribution of wealth may drive the economy from a steady state with strictly positive output to a poverty trap in which output converges asymptotically to zero these results indicate that differences in the wealth distribution may be responsible for drastic differences in the long run standard of living journal of economic literature classification numbers d31 d50 o41

policy functions for capital accumulation paths abstract it has recently been shown that in neoclassical optimal growth models the set of policy function contains all twice differentiable functions the question has been raised as to whether this restriction to twice differentiable functions is essential in this paper we show that all c 1 functions with derivative satisfying a lipschitz condition can serve as policy functions and we also show by examples that differentiability is not a required property of a policy function

scale and scope economies in the multi product banking firm abstract the multi product nature of the banking firm is examined utilizing the translog cost function this analysis indicates that contrary to conventional wisdom natural monopoly scale economies and product specific decreasing costs are not robust characterizations of the banking industry there is however evidence that the cost function is characterized by economies of scope the implications of these results are discussed and extensions of this approach suggested

optimal production purchasing and pricing a differential game approach abstract this paper deals with a problem of determining optimal production and pricing policies of a manufacturing firm which is supplying a retailer the latter faces a price dependent demand function towards the final consumers and wishes to determine optimal purchasing and pricing policies both firms carry inventories and backlogging is permitted the problem is modelled as a two player nonzero sum differential game with the inventory levels as the state variables the controls are the rates of production and purchasing as well as the prices assuming linear production costs but convex ordering and holding costs open loop nash controls are characterized by using switching point analysis as well as phase diagrams

scale economies in banking a restructuring and reassessment the issue of scale economies in banking has a rich history most earlier studies report modest operating cost scale economies for small institutions those with less than about 50 million of deposits in 1968 dollars but are unclear where these economies might end if at all unfortunately these studies are limited in four important respects first those that were well specified did not measure the total cost of banking operations but concentrated on estimating scale economies for individual banking functions e g demand deposits separately from commercial loans second an average cost curve that could take a u shape over the full range of banks was not fitted either because larger banks were not included or because of the functional form used cobb douglas consequently the optimum or minimum cost size of a bank or office could not be determined third the variables measuring the costs of branching were misspecified fourth the branch

equilibrium models displaying endogenous fluctuations and chaos abstract this paper surveys current developments in dynamic general equilibrium theory concerned with conditions under which endogenous fluctuations are possible existing contributions are divided into two classes the larger one consists of models with a unique perfect foresight equilibrium while the second includes models where equilibrium is indeterminate and the set of equilibria involving endogenous fluctuations includes sunspots equilibria while the two classes of models involve oscillations of different natures and with different policy implications we show that both are consistent with optimizing behavior and competitive equilibrium

deposit insurance and the discount window pricing under asymmetric information the risk sensitive pricing of deposit insurance and the discount window is determined in an environment where banks have private information concerning their financial conditions the two facilities are managed jointly an incentive compatible policy is designed such that banks choice of terms at which they can obtain insurance and access to discount window credit will reveal their asset quality the function of the discount window is to be a risk neutral lender of last resort to banks in a market dominated by risk averse depositors the need to regulate banks is commonly linked to the risk independent pricing of deposit insurance in that it provides banks with an incentive to increase their risk taking activities 1 critics of the present system have long advocated risk sensitive deposit insurance premiums and a literature is emerging that examines the variety of such pricing schemes 2 this literature typically assumes that the public insuring agency has the same information as the bank concerning the quality of the bank s assets this is both implausible and potentially misleading the bank normally has superior information concerning its assets a pricing policy that ignores this informational asymmetry is likely to provide banks with similar risk taking incentives that is associated with the current riskinsensitive pricing arrangement kane 6 p 275 for example appreciates this aspect of the problem i t is necessary not only to reprice but also to redesign the existing system the fdic and fslic must develop incentive compatible my emphasis insurance contracts and price them fairly contractual incentives must be established that would allow a low risk institution to lower its premiums by communicating to the insurance agency what its own managers know about the institution s own exposure therefore as kane argues a redesigned insurance system is needed that would provide incentives to the banks to truthfully reveal the necessary information and thereby facilitate the efficient pricing of the risk shifted to the public insurer a variety of pricing policies that involve a bank s choice of capital or asset liability composition

irregular growth cycles this paper uses the familiar neoclassical theory of capital accumulation to show how complex behavior can emerge from quite simple economic structures indeed when sufficient nonlinearities and a production lag are present the interaction alone of the propensity to save and the productivity of capital can lead to growth cycles that exhibit a wandering sawtooth pattern not unlike those observed in reality these fluctuations need not converge to a cycle of any regular periodicity so they are not quasi periodic because such chaotic trajectories are unstable errors of estimation in parameters or initial conditions however tiny will accumulate rapidly into substantial errors of forecast moreover periods of erratic cycling can be interspersed with periods of more or less stable growth evidently the future behavior of a model solution cannot be anticipated from its patterns in the past a situation that seems to mimic experience apparent structural change and unpredictability is explained in the present theory by a deterministic single equation model random shocks play no role so the reader can visualize just what it is we are are talking about a noteworthy simulation is presented in figure 1 for gnp in a growth model that is described below in section iii a period of relatively rapid growth is followed by a period of cycles then remarkably for a considerable time about twenty periods apparently steady state growth occurs wandering cycles however emerge another brief period close to the steady state appears again toward the end of the series i establish conditions of savings and productivity that lead to results of this kind this analysis makes use of the mathematical theory of chaos which in the form exploited here originated in the work of edward lorenz a formal definition of chaos and sufficient conditions for chaotic trajectories were provided in a seminal paper by t y li and james yorke a survey of these related contributions is found in yorke and evelyn yorke this theory was introduced into economics by jess benhabib and myself 1981 where we showed that sequences of rational choices can be erratic when preferences depend on experience in a certain way by michael stutzer who provides a detailed analysis of trygve haavelmo s growth model by benhabib and myself 1980 in an application of the overlapping generations model and in my forthcoming study of the classical growth model

dynamics of competing with quality and advertising based goodwill goodwill formation is a complex process and many factors influence the formation of goodwill of a firm the implications of advertising enabled goodwill formation are reported in several articles in the research literature in this paper we extend this stream of research by including quality in the goodwill formation process we adopt a dynamic model of competition utilizing a differential game approach and derive expressions for open loop markovian nash equilibrium investments in advertising and quality the insights gained from the analysis of our model and from the equilibrium solutions are presented in the form of research propositions

an aggregative model of capital accumulation with leisure dependent utility this paper analyzes an aggregative optimal growth model where both consumption and leisure enter as arguments in the utility function if consumption and leisure are substitutes the model can generate multiple steady states if consumption and leisure are complements the optimal path may turn out to be cyclical preferences play an important role in determining the steady state to which the economy converges

equilibrium dynamics in two sector models of endogenous growth abstract this paper considers two extensions of the uzawa lucas framework in our first extension physical capital is included as an input of the educational sector in our second extension leisure considerations are assumed to play a positive role in agents welfare the case with physical capital in the production of education features under standard conditions a unique steady state and thus the dynamics are qualitatively similar to those of the original uzawa lucas framework in our second model with leisure there could be a multiplicity of steady states with different rates of growth what determines here the chosen rate of growth is the initial relative amount of physical and human capital our results therefore illustrate that in a world without externalities there could coexist different long term growth rates

on endogenous competitive business cycles the belief that the long run equilibrium of a competitive monetary economy that does not experience any exogeneous shocks whether originating from the external environment or from policy should be modelled as a state that is stationary or perhaps growing at a constant rate seems to be deeply rooted in the mind of some economists

rational choice and erratic behaviour in this paper we show that rational choice in a stationary environment can lead to erratic behaviour when preferences depend on experience we mean by erratic behaviour choice sequences that do not converge to a long run stationary value or to any periodic pattern early investigations of the effects of experience on choice goes back to pareto see also benhabib 1979 some keynesian theories of the consumption function incorporate the effects of experience and habit formation on current levels of consumption duesenberry 1949 modigliani 1949 and brown 1952 a general model of experience dependent choice was described in day 1970 and investigated in day and kennedy 1971 while the specific issue of the existence of stable representable long run consumer demand when tastes vary endogenously has been treated by gorman 1967 pollak 1970 1976 weizsaicker 1971 mccarthy 1974 and hammond 1976 pollak gave conditions for the representability of long run choice when the equations of preference dependence are linear and utility additive hammond in a generalization of these findings provides conditions for stable representable long run choice when preferences are acyclic a condition which in essence assures convergence to a long run choice

stochastic competitive entries and dynamic pricing abstract how should firms price new products when they do not know the timing nor the nature of the next competitive entry to guide managers pricing decisions in such contexts we propose a dynamic pricing model with two types of randomly timed entry i e imitative and innovative the characterization of the equilibrium strategies reveals how optimal prices vary with the manager s knowledge about the timing of future competitive entries we show that price skimming is not always optimal when entry dates are unknown to managers everything else equal we demonstrate that the randomness of competitive entries make forward looking managers to choose constant prices even though the characteristics of the market would have justified skimming the demand in the normal course moreover we show that the constant pricing policy remains optimal even when the incumbent s optimal pricing strategy influences the probability of facing a competitive entry finally we find that uncertainty does not necessarily hurt firms profits

green supply chain performance with cost learning and operational inefficiency effects environmental issues are receiving significant attention from the public accelerating the development of green supply chain in operations management this study focuses on the green supply chain performance in a single manufacturer retailer setup in which the manufacturer determines energy efficiency level and wholesale price while the retailer decides on sales price the unit production cost is jointly affected by cost learning and operational inefficiency effects open loop feedback and myopic equilibria are subsequently derived and the corresponding supply chain performance and profit distribution are analyzed the main results show that forward looking behavior is preferred to myopic one for channel members feedback equilibrium is beneficial to the manufacturer but is harmful to the retailer the supply chain efficiencies in forward looking and myopic situations are lower than the static supply chain efficiency which results from cost learning and operational inefficiency effects as well as non price variable the manufacturer and the retailer extract more profits under certain conditions i e high cost learning effect large energy efficiency effectiveness low operational inefficiency effect or discount rate however the corresponding supply chain efficiencies decrease and the manufacturer s profit proportions are less than 2 3 investigation of supply chain performance with competition from multiple retailers implies that the effects of system parameters on supply chain performance keep the same directions of single manufacturer retailer setup while competition improves supply chain efficiency and manufacturer s profit proportion this work contributes in involving cost learning and operational inefficiency effects simultaneously in a dynamic environment to explore supply chain performance

competitive equilibrium cycles recently there has been a surge of interest in endogenous business cycles that arise in competitive laissez faire economies in the context of standard overlapping generations economies conditions for the existence of equilibrium cycles have been given by grandmont 1983 and by benhabib and day 1982 models of the economy with extrinsic uncertainty or sunspots that have been developed by shell 1977 and by cass and shell 1983 see also balasko 1983 can also lead to equilibrium cycles

the valuation of fdic deposit insurance using option pricing estimates when congress set the premium rate for fdic deposit insurance in the banking act of 1935 which authorized a permanent federal insurance system neither experience nor theory could offer much guidance regarding an appropriate fee structure although rates have since been periodically revised the fdic has yet to attempt to set the insurance rate at a ifair level that is a level equal to administrative costs plus the ex ante value of the insurance such a premium is the rate that would be charged by competitive private insurers however7 the garn st germain act of 1982 directed the fdic to consider the feasibility of a risk based premium structure in response the fdic has suggested a trial system in which each insured bank will be placed in one of three risk classes based on credit and interest rate risk relative to capital and a premium rate will be assigned to each group those rates will be determined in part by the loss experience of the entire banking system fdic 1983 another approach to the determination of the appropriate insurance premium has been offered by merton 1977 who suggested using the analogous relationship between deposit guarantees and put options to value fdic insurance in this paper we follow merton s suggestion and calculate bank specific estimates of the proper premium for deposit insurance for the banks in our sample we find that fdic rates greatly exceed estimates of the fair value of the insurance derived from the blackscholes 1972 option pricing model

bank regulation and monetary policy the depository institutions deregulation and monetary control act 1980 and the garn st germain depository institutions act 1982 are the two most significant pieces of bank legislation since the 193os their significance stems from the fact that they have sought to roll back a number of the regulations and restrictions imposed on bank activity and competition in the 1933 80 period among the important provisions of these acts are a gradual elimination of regulation q ceilings on time and savings deposits by march 1986 the amelioration of state imposed usury ceilings on loans the nationwide provision of interest bearing transaction type accounts negotiable order of withdrawal now and super now accounts permission for thritts to expand into bank like products such as commercial and industrial loans consumer loans and credit cards and the development of new types of savings accounts such as mmdas l in addition to legislative deregulation we have also witnessed homemade deregulation as banks have sought to exploit often with great success loopholes in the bank holding

the central banking role of clearinghouse associations most of this clearinghouse currency was illegal but no one thought of prosecuting or interfering with its issuers as practically all of it bore the words payable only through the clearing house its holders could not demand payment for it in cash in plain language it was an inconvertible paper money issued without the sanction of law yet necessitated by conditions for which our banking laws did not provide when banks were being run upon and legal money had disappeared in hoards in default of any legal means of relief it worked effectively and doubtlessly prevented multitudes of bankruptcies which otherwise would have occurred andrew 1908b p 516

equilibrium cycles in an overlapping generations economy with production abstract perfect foresight equilibrium trajectories of an overlapping generations model with production may include stable or unstable invariant closed curves these orbits are detected using the hopf bifurcation theorem where the parameter of bifurcation is purely technological the paper also proves that there is a stabilization policy that completely eliminates the cycle finally using a c e s production function it is shown that the range of values of the elasticity of substitution between capital and labor for which cycles may exist is bounded above

deficits and cycles abstract this paper shows that periodic equilibria may arise in a simple overlapping generations model with capital if the government follows a policy of fixing the value of the deficit rather than fixing the value of government debt then the difference equation that describes competitive equilibria may posses complex roots in the neighborhood of the golden rule stationary state one may show that if there exist parametric families of economies for which these roots change stability then locally there exists an invariant closed curve the paper provides two simple examples that generate such equilibria and it solves these examples numerically

on the optimality of cyclical employment policies a two state variable continuous time control model of optimal employment of a profit maximizing firm with convex labour adjustment costs is considered the model is analyzed numerically it is shown that a cyclical hiring and firing policy is optimal

cooperative advertising models in supply chain management a review this paper reviews articles on cooperative advertising a topic which has gained substantial interest in recent years thereby we first briefly distinguish five different definitions of cooperative advertising which can be found in operations research literature after that we concentrate on vertical cooperative advertising which is the most common object of investigation it is understood as a financial agreement where a manufacturer offers to pay a certain share of his retailer s advertising expenditures in total we identified 58 scientific papers considering mathematical modeling of vertical cooperative advertising these articles are then analyzed with regard to their general model setting e g the underlying supply chain structure and design of the cooperative advertising program after that we explain the different demand and cost functions that are employed whereupon we distinguish between static and dynamic models the last dimension of our review is dedicated to the game theoretic concepts which are mostly used to reflect different forms of distribution of power within the channel

production inventory and pricing under cost and demand learning effects abstract the paper considers a monopolist firm that plans its production inventory and pricing policy over a fixed and finite horizon the problem is represented by an optimal control model which combines elements from three streams of literature the first of these is a classical or area and deals with optimal production and inventory under exogenously given demand conditions the second is an area of marketing science which studies dynamic pricing under demand learning effects demand learning refers to the situation where current demand for a product is influenced by past demand the third area belongs to microeconomics and industrial organization and is concerned with the effects of learning by doing in a firm s production process learning is reflected in a unit production cost that decreases with cumulative production using a path synthezising procedure we obtain closed form characterizations of optimal production pricing and inventory policies

does anticipated monetary policy matter an econometric investigation a heated debate has arisen over the policy ineffectiveness proposition associate with the work of lucas sargent and wallace it postulates that anticipated aggregate demand policy will have no effect on business cycle fluctuations so that one deterministic feedback policy rule is as good as any other from the point of view of stabilizing the economy this paper develops a methodology for empirically analyzing rational expectations models displaying this neutrality result and then applies it to the important question of whether anticipated monetary policy matters to the business cycle

prisoner s dilemma on behavioral choices in the presence of sticky prices farsightedness vs myopia abstract when making decisions in a dynamic environment myopic supply chain members tend to ignore the future effects of their decisions on the evolution of state dynamics by contrast far sighted decision makers consider about the impacts of current decisions on both current profits and future profits in order to study how behavioral choices affect the operation decisions and profits of supply chain members we develop a differential game with sticky prices where one manufacturer purchases components from one supplier and makes final products for end customers the supplier decides on its wholesale price while the manufacturer sets its production quantity either of supply chain members has two behavioral choices myopia and farsightedness we derive and compare equilibrium solutions under four different behavioral combinations our analysis shows that there always exists a prisoner s dilemma caused by behavioral choices farsightedness is a dominant strategy for either the supplier or the manufacturer but both to act myopically makes both of them better off furthermore comparing with other scenarios the whole supply chain obtains the highest profit when both players are myopic in addition we introduce a revenue sharing contract with static wholesale price to mitigate the adverse impacts of the prisoner s dilemma

a differential game model of the marketing operations interface in the development of their dynamic strategies the marketing and operations functions within a firm have differing objectives and conflict between the two functions is common the strategic interdependence involving marketing and operations decisions is modeled as a noncooperative differential game demand is assumed to be a function of price and advertising goodwill and marketing controls price and advertising to maximize its discounted stream of revenue net of advertising costs backlogging is allowed and operations controls production to minimize its discounted stream of production and backlog costs a feedback nash equilibrium is derived for the game which allows a solution of the system of differential equations for goodwill and backlog and is analyzed to study the nature of the dynamic strategies for price advertising and production

market failures in the r d growth model with endogenous labor supply abstract this paper shows that even in the absence of externalities there is a market failure associated with an endogenous choice between labor and leisure in a growth model with imperfect competition the reason for this is that workers are paid less than the value of their marginal products and therefore supply less labor than would be optimal from the viewpoint of the society as a whole this in turn hampers growth it is also demonstrated how this inefficiency can be corrected by an appropriate wage subsidy

strategic interactions in traditional franchise systems are franchisors always better off abstract the effects of price competition and advertising spillover on franchisees decision to cooperate and on franchisor s contractual preferences are investigated we show that the franchisees decision to cooperate or not depends on the type of franchise contracts under exclusive territory contracts any mode of play between franchisees give the same profits to the franchisees and franchisor contracts that allow price competition and well targeted local advertising offer a good ground for horizontal cooperation which may or may not benefit the franchisor depending on whether the prices are strategic substitutes or strategic complements contracts in which price competition is allowed and the burden of advertising decisions is totally transferred to the franchisor lead to cooperation between franchisees at the expense of the franchisor franchisees do not cooperate to the benefit of the franchisor if local advertising is predatory and price competition is not allowed in the contract but franchisees are given the responsibility to undertake local advertising also the franchisor endorses cooperation between franchisees when local advertising has a public good nature but such a cooperation may never occur when the impact of local advertising on demand is significant we finally show that while some contracts always dominate others the choice of a franchise contract may also depend on local competition and or the franchise goodwill

quality improvement vs advertising support which strategy works better for a manufacturer abstract we consider a marketing channel with a single manufacturer and a single retailer where both advertising and quality improvement contribute to the build up of goodwill in a non coop scenario the retailer controls the advertising efforts while the manufacturer controls the quality improvements and wholesale price although improving quality positively contributes to goodwill it also increases the production cost thereby reducing the manufacturer s profit in a coop scenario the manufacturer supports the retailer s advertising while decreasing his investments in quality we investigate the conditions under which a coop program is beneficial when such a trade off occurs our results demonstrate that only when advertising significantly contributes to goodwill the manufacturer has an incentive to cooperate and a coop program turns out to be pareto improving conversely the retailer is always better off with a coop program moreover the channel is operational and marketing driven when quality effectiveness is high independent of advertising effectiveness or when both quality and advertising effectiveness are large in all other cases the channel is marketing driven

financial panics the seasonality of the nominal interest rate and the founding of the fed after the founding of the fed in 1914 the frequency of financial panics and the size of the seasonal movements in nominal interest ratesboth declined substantially this paper establishes that the fed by carrying out the seasonal open market policy that eliminated the seasonal in nominal interest rates caused the decrease in the frequency of panics since seasonal movements are anticipated and financial panics are probably real events the results show that an anticipated monetary policy had real effects on the economy copyright 1986 by american economic association

ergodic fluctuations in deterministic economic models abstract nonperiodic business fluctuations are shown to exist with positive measure generically and to behave like stationary stochastic processes in the standard dynamic macro model the implication is that so called chaotic fluctuations are probable for random initial conditions in a large class of recursive economies

the dynamics of price quality and productivity improvement decisions abstract although quality has received significant attention during the last decades and its economic benefits are beyond any doubt lots of questions have remained unanswered as to how much when and in what to invest to maintain sustainable competitive advantage a model is introduced here to guide a firm in addressing these questions the firm produces a single product and operates in a market where monopolistic competition is effective demand for the product in the industry depends on both price and performance quality increasing productivity knowledge decreases unit production cost but demand for the company s product decreases over time as competitors will be able to offer products with similar performance productivity and quality knowledge can be developed through induced and autonomous learning in order to strengthen company position the paper provides an optimal control formulation of the problem and develops necessary conditions for optimality and characterizes the dynamics of optimal price quality and investment decisions

the dynamics of efficient intertemporal allocations with many agents recursive preferences and production abstract the local dynamics of efficient allocations are studied for heterogeneous agent economies with production where preferences are recursive but not time separable in the case of a one sector neoclassical technology it is shown that optimal trajectories locally converge to a unique steady state provided that every agent s utility satisfies normality and increasing marginal impatience conditions in the two sector case with the above restrictions on preferences it is shown that oscillations can result only if the consumption goods sector is sufficiently capital intensive

product balancing under conditions of quality inflation cost pressures and growth strategies abstract this paper analyzes an organization that has a well defined strategy providing a sustainable competitive advantage this advantage is expressed by at least one dimension of quality on which the product or service exhibits outstanding performance using decreasing and increasing exponential demand functions for price and quality respectively the optimal quality level is characterized when dollar sales volume under a cost based price floor and profit are maximized however as quality inflates the same quality performance is worth less tomorrow than today this paper shows that continuous and simultaneous improvement of operational efficiency and quality is a must and is independent from price setting policies the condition of optimal trade offs among quality dimensions is found for the case when the company competes on multiple quality dimensions finally the conditions are analyzed when the resources of quality are utilized in other market segments as well it is found that the corporate level quality or the utilization level of resources is lower higher than the highest least individual business unit product quality

fixed rate loan commitments take down risk and the dynamics of hedging with futures this paper develops a normative model to analyze the hedging and fee pricing decisions of a financial institution supplying fixed rate loan commitments to its customers in supplying fixed rate loan commitments the financial institution hereafter referred to as bank is assumed to act as an agent that transforms commitment risk through the use of financial futures contracts while most pre vious loan commitment models have analyzed the interest rate or price risk the bank faces in supplying fixed rate loan commitments they either have ignored or assumed away the loan take down or quantity risk l in general by making a formal fixed rate loan commitment the bank exposes itself to both a price and a quantity risk specifically a formal loan com mitment prespecifies the maximum size of the loan the purpose of the loan of ten project specific as well as the interest rate and fee to be paid by the borrower 14 15 however while a formal loan commitment imposes a contractual re quirement on the bank to supply funds up to a maximum amount at an agreed rate of interest the expected size of the loan to be taken down is often uncertain the reason is that for project specific lines of credit the amount taken down will depend on the future state s of the world that are revealed to the borrower at the end of the commitment period as well as on the limitations and constraints im posed on the use of funds in the loan commitment contract for example construction delays and other market imperfections that hamper a planned invest

recent developments in dynamic advertising research a variety of continuous time differential functions have been developed to investigate dynamic advertising problems in business and economics fields since major dynamic models appearing before 1995 have been reviewed by a few survey papers we provide a comprehensive review of the dynamic advertising models published after 1995 which are classified into six categories i nerlove arrow model and its extensions ii vidale wolfe model and its extensions iii lanchester model and its extensions iv the diffusion models v dynamic advertising competition models with other attributes and vi empirical studies for dynamic advertising problems for each category we first briefly summarize major relevant before 1995 models and then discuss major after 1995 models in details we find that the dynamic models reviewed in this paper have been extensively used to analyze various advertising problems in the monopoly duopoly oligopoly and supply chain systems our review reveals that the diffusion models have not been used to analyze advertising problems in supply chain operations which may be a research direction in the future moreover we learn from our review that very few publications regarding dynamic advertising problems have considered the supply chain competition we also find that very few researchers have used the diffusion model to investigate the dynamic advertising problems with product quality as a decision variable and the pricing decision has not been incorporated into any extant lanchester model the paper ends with a summary of our review and suggestions on possible research directions in the future

self fulfilling optimism in a trade friction model of the business cycle models of economic activity with frictions in coordinating trading have been shown to be capable of generating multiple steady states peter diamond 1982 is the pioneering work see my 1987a paper for a general discussion less work has been done on out of steady state dynamics in such models which would enable us to examine what sort of fluctuations these models may generate the absence of dynamics leaves open the question of which steady state the economy will reach as well as whether the comovements of key variables resemble what is observed over the cycle in my earlier paper 1987b i presented a model combining search and aggregate demand approaches to unemployment to show how spillovers between product and labor markets could yield multiple equilibria here a highly simplified dynamic model based on this work is presented in which self fulfilling sales expectations determine to which steady state the economy converges these expectations are summarized by the asset values of firms which are producing output relative to those that are not two types of dynamic paths leading to stationary solutions can arise the first is a saddle path in addition for certain parameter values stable limit cycles emerge interestingly over this cycle asset values of firms which one could interpret as stock market values lead economic activity i model setup

capacity allocation for dynamic process improvement with quality and demand considerations management of process improvement activities is an essential part of the manufacturing strategy of a firm to remain globally competitive in the long run this paper considers a manufacturing environment where process improvement activities require use of the productive capacity of the firm in addition to other investments thus the firm must allocate its productive capacity between production activities and improvement activities the output of production activities is used to meet customer demand process improvement activities improve the quality of the output which in turn leads to lower quality related costs both internal and external and possibly lower per unit production cost it is assumed that the demand function is downward sloping and that revenue is a concave function of output a continuous time finite horizon profit maximization resource allocation model is developed to find an optimal time path for process improvement activities and production activities computational results are provided to study the effect of various problem parameters on the optimal decisions