the pricing of durable exhaustible resources partial or total durability characterizes a large class of exhaustible resources hotelling s r percent rule will apply to a durable resource produced in a competitive market but will not apply if the resource is produced in a monopolistic market however the r percent rule does not mean that price is steadily rising it is shown that in general the competitive market price will fall initially as the stock in circulation increases and later will rise as the stock decreases and eventually depreciates toward zero after production ceases accounting for durability may thus help explain the u shaped long term price profiles observed for many resources 11 references 3 figures

name your own price at priceline com strategic bidding and lockout periods a buyer suggests prices to n sellers in a time period and buys from the seller who accepts the bid first the number of bidding rounds is determined by how frequently the buyer can make an offer we show that with no limit on the frequency and without discounting the price path is either kept flat initially with large jumps at the end or increasing steadily over time which class of path occurs in equilibrium depends on the buyer s trade off between committing to a price ceiling versus finely screening the sellers costs with discounting limiting the number of rounds mitigates the delay caused by the reluctance to raise bids in the first class of equilibrium and therefore can benefit the buyer this result suggests why in reality bargaining parties often take measures to make their offers rigid and consequently force themselves to make fewer offers copyright oxford university press

changes in labor force composition and male earnings a production approach models of aggregate production are estimated and used to investigate the effects of changes in labor force composition on the recently observed decline in the earnings of college graduates relative to other workers and on the fall in the earnings of younger workers relative to older workers changes in labor force composition explain substantial proportions of these observed earnings changes the most important compositional change appears to have been the rapid increase in the number of young male college graduates projections outside the sample are consistent with depressed earnings throughout the lifetimes of the large baby boom cohorts especially among college graduates but do not suggest that depressed college graduate earnings are a permanent phenomenon for all birth cohorts

a characterization of erratic dynamics in the overlapping generations model abstract in this paper we characterize and give examples o wide classes of utility functions which generate erratic dynamics in the standard deterministic overlapping generations model erratic dynamics refers to feasible trajectories which are bounded but which do not converge to stationary points or periodic orbits we show that such trajectories are pareto efficient we introduce credit into the model and show how a constant credit expansion rate can result in erratic trajectories in prices and the real value of credit finally we briefly discuss certain technical aspects of the mathematics used and the statistical nature of the dynamics that can arise from deterministic dynamical systems

beliefs equilibria in an overlapping generations model we consider a standard two generations version of the overlapping generations model agents predict inflation rates on the basis of a perceived law of motion which is estimated by running a linear regression on past inflation rates we introduce the notion of beliefs equilibrium at such an equilibrium i the perceived law of motion is such that it fits the time series of inflation rates best and ii this time series of actual inflation rates is generated when agents use that perceived law of motion we show that beliefs might converge although inflation rates keep on fluctuating these fluctuations are consistent with the limit belief

labour force substitution and the effects of an ageing population 1986 labour force substitution and the effects of an ageing population applied economics vol 18 no 8 pp 901 913

trade ins and introductory offers in a monopoly we model the commonly used marketing practices of offering discounts to either repeat buyers trade ins or new buyers introductory offers of a quasi durable good we analyze these practices in terms of their potential for intertemporal and third degree price discrimination in our two period model the monopolist sets a first period price that segments the second period market optimally into holders and nonholders of the good in the second period different prices are quoted to the two market segments we present three versions of the model with varying assumptions on consumers rationality

durable goods monopolists durable goods monopolists face special problems because the sale of their products creates a secondhand market not controlled by the monopolist to the extent the monopolist is able to rent his product rather than sell it or to make binding promises about his future production such problems are ameliorated given the inability to do the above the monopolist is led to producing goods less durable than those produced by either competitive firms or monopolist returns a reverse averch johnson result that monopolist sellers may invest less in fixed costs including plant modernization and research and development than would the renters is shown it is also shown that even though sellers have less monopoly power than renters and nondurable goods monopolists it is possible that the seller will cause a greater deadweight loss than the other types of monopolies

four themes in fertility research this study is concerned with four main themes that have been combined to describe u s fertility trends since 1920 these themes are identified as a time adjustment mechanism income the wifes labor force activities and some intergenerational factor in order to obtain an unambiguous picture each theme will be represented by only one variable after selecting the variables and estimating a model an examination of the changing role these variables have had in explaining changes in fertility the total fertility rate throughout much of this century will be made finally the implications these themes have for future fertility will be examined the authors conclude that in interpreting historical u s fertility rates the results seem to indicate that much of the early decline in u s fertility was due to falling infant mortality after the second world war fertility rose sharply as the age structure variable declined and income rose eventually both womens labor force participation rates and the age structure variable rose and consequently fertility fell they also suggest that the age structure variable may cause a temporary upward swing in fertility in the near future excerpt

why would a durable good monopolist also produce a cost inefficient nondurable good abstract we develop both commitment and time consistent stationary policies for a monopolist who produces a mixture of goods distinguished by production costs and degree of durability under commitment only the cost efficient durable good is produced and the monopoly output is realized each period for the time consistent stationary case there is an interval for the degree of durability where only the durable good is produced and a higher non overlapping interval where both the cost efficient durable and the cost inefficient nondurable good are produced for any period length when the degree of durability is such that both durable and nondurable goods are provided combined output is less than the competitive output and decreases in the degree of durability approaching the single period monopoly output when both goods are produced the coase conjecture does not hold

durable goods oligopoly abstract this paper models a durable goods oligopoly as a differential game two cases are treated sales where firms cannot lease but must sell the good in question and leasing where firms do not sell but only rent in the sales case firms face increasing marginal cost of production and the good in question depreciates for this case a rational expectations feedback nash equilibrium is constructed for which monopoly or oligopoly output is less than the efficient level this gap between oligopoly and competitive output diminishes as the number of firms increases when firms can only lease the good the good is assumed not to depreciate and the monopoly level of steady state output is compared with the level of steady state output for a feedback equilibrium duopoly for this case the duopoly equilibrium has steady state output that is less than the corresponding efficient level but greater than the monopoly level the leasing model is shown to be isomorphic to the adjustment cost duopoly model of driskill and mccafferty journal of economic theory 49 1989 324 338

foundations of dynamic monopoly and the coase conjecture subgame perfect equilibria are characterized for a market in which the seller quotes a price each period assume zero costs positive interest rate continuum of buyers and some technical conditions if buyers valuations are positive then equilibrium is unique buyers strategies are stationary and the price sequence is determinant along the equilibrium path but possibly randomized elsewhere otherwise a continuum of stationary equilibria can exist but at most one with analytic strategies coase s conjecture is verified for stationary strategies reducing the period length drives all prices to zero or the least valuation connections to bargaining models are described journal qf economic literature classification

why monopolists prefer to make their goods less durable this paper considers goods that depreciate in terms of quality over time and permits consumers to differ in their attitude concerning the usability of a durable good after it has depreciated given this it is shown that even if a monopoly can costlessly increase the durability of its product it may choose not to do so this does not happen in competition copyright 1988 by the london school of economics and political science

monopoly production of durable exhaustible resources we examine monopoly production of a durable exhaustible resource previous authors have implicitly assumed that the monopolist is able to make binding commitments about future decisions we consider the more plausible case in which the monopolist lacks this ability and must choose from dynamically consistent plans two models are considered a discrete time model in which there is a strictly finite initial stock of the resource and a continuous time model in which costs are an increasing function of cumulative production we find that as a general result monopoly leads to overconservation the monopolist who cannot precommit produces the efficient quantity ultimately but does so too slowly by contrast the monopolist who can precommit produces less than the efficient stock even in the limit we also find that increased importance of exhaustibility hastens the extraction of the resource copyright 1990 by the london school of economics and political science

behavioral learning equilibria we propose behavioral learning equilibria where boundedly rational agents learn to use a simple univariate linear forecasting rule with correctly specified unconditional mean and first order autocorrelation in the long run agents learn the best univariate linear forecasting rule without fully recognizing the more complex structure of the economy an important feature of behavioral learning equilibria is simplicity and parsimony which makes coordination of individual expectations on such an aggregate outcome more likely in a first application an asset pricing model driven by ar 1 ar 1 dividends a unique behavioral learning equilibrium exists characterized by high persistence and excess volatility and it is stable under learning in a second application the new keynesian phillips curve multiple equilibria coexist learning exhibits path dependence and inflation may switch between low and high persistence regimes

economic effects of immigrants on native and foreign born workers complementarity substitutability and other channels of influence the authors use standard metropolitan statistical area smsa data constructed from 1980 census microdata files and other sources to estimate a structural model of native foreign born labor demand and labor supply which distinguishes the effects upon real wages of each type of labor and on the employment of natives the authors specify econometrically estimate and simulate the structural model which incorporates not only a production structure channel through which immigrants influence area real wages and employment but also demand and native labor supply channels it is noted that while these are not the only channels through which immigrants may affect native workers the model nonetheless constitutes a step in the direction of a general equilibrium approach in the production structure channel immigrants and natives are found to be substitutes in production immigration lowers foreign born wage rates and leads to lower wages for natives the negative effects of the production channel usually are ameliorated through the demand channel further immigrants add to local demand through their earnings and potentially through non labor income while also lowering unit costs and local prices which enhances real incomes and potentially net exports and thus the demands for local output and area labor the author discusses findings of interest from the simulation results based upon an analysis of all areas

ordinary least squares learning and nonlinearities in macroeconomics the paper reviews the literature on adaptive learning in macroeconomic settings where the formation of expectations is particularly relevant special attention will be given to simple two period overlapping generations models with a unique fixed point perfect foresight equilibrium in this kind of scenario eventual long term periodic and a periodic cycles are exclusively the result of the process of learning the outcome that high rates of money growth have a potentially destabilizing effect generating periodic fluctuations and chaos is emphasized the persistence of systematic forecast errors in a scenario where agents are supposed to act rationally is relevant in this context and it will be thoroughly discussed resorting to the notions of self fulfilling mistakes consistent expectations equilibria and beliefs equilibria

reputation in bargaining and durable goods monopoly this paper analyzes durable goods monopoly in an infinite horizon discrete time game we prove that as the time interval between successive offers approaches zero all seller payoffs between zero and static monopoly profits are supported by subgame perfect equilibria this reverses a well known conjecture of coase alternatively one can interpret the model as a sequential bargaining game with one sided incomplete information in which an uninformed seller makes all the offers our folk theorem for seller payoffs equally applies to the set of sequential equilibria of this bargaining game

urban congestion and developer precommitments unilateral solutions to dynamic inconsistency the sale of housing creates a dynamic inconsistency problem for residential developers who find it profit maximising to overdevelop an area once ownership of the existing housing stock has been transferred to local residents rational buyers lower the prices they are willing to pay in expectation of this future congestion it is therefore in the developers interest to attract higher prices by credibly precommitting themselves unilaterally to construction plans that are optimal for each housing tract if the externalities associated with congestion affect quality of life in neighbouring tracts however development will still exceed the efficient level the introduction of master planned communities where a single development company commits future developer builders to a plan for the construction of multiple contiguous housing tracts can create the expectation of future population densities that will be optimal on a city wide level

government debt human capital and endogenous growth the effect of government debt on capital accumulation has been debated for more than a century the debate has focused on the validity of the ricardian equivalence hypothesis which asserts that the mix of government debt and nondistorting taxes to finance government expenditures has no real effect on an economy in models with infinitely lived agents government bonds increase private assets by the full amount that offsets the rise in future tax liabilities for interest payments and the retirement of public debt even in a model with finitely lived agents barro 1 showed that government debt is neutral when private intergenerational transfers are positive and when the rate of growth is lower than the interest rate with operative intergenerational transfers carmichael 4 extended the debt neutrality into a regime where the rate of growth is greater than the interest rate while suggesting some sources of nonneutrality of public debt such as heterogeneous tastes and uncertainty moreover drazen 6 argued that when intergenerational transfers take the form of investments in human capital which have higher marginal returns than investments in physical capital government bonds affect the equilibrium solution and increase welfare in contrast assuming that private intergenerational transfers are zero van der ploeg and alogoskoufis 10 argued that an increase in government debt depresses real growth through reducing savings in an endogenous growth overlapping generations model with constant population the models mentioned above ignore possible responses of fertility to changes in government debt in an overlapping generations model with operative bequests becker and barro 3 showed that the neutrality of social security needs modification if fertility is endogenous lapan and enders 9 extended the insight of becker and barro 3 to examine the effects of government debt and found that a rise in government debt reduces fertility and raises capital intensity through increasing bequests which are part of the cost of having children wildasin 11 also obtained similar results while endogenizing fertility none of these models has endogenous growth of per capita income

optimal extraction policy when the environmental and social costs of the opencast coal mining activity are internalized mining district of the department of el cesar colombia case study abstract several articles have confirmed the social and environmental consequences of opencast coal mining the main purpose of this study is to simulate the optimal extraction policy of coal mining with and without the internalization of the environmental and social monetary costs that occur in the mining district located in the central part of the department of el cesar using discrete dynamic programming backward recursion discrete state markov decision model and bellman equation results indicate that the private optimal of the overproduction policy for the terminal phase of the resource extraction program can be reduced once the negative externalities produced by mining practices are internalized into the cost function of the mining investment companies in colombia this means that if there is an increase in the total cost of extraction to offset the environmental and social impacts generated the negative externalities would be less than or equal to the current level likewise profits would continue being positive for the mining firms at the mining district

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

living in an imaginary world that looks real abstract in the paper we show using standard approaches general equilibrium modeling and the assumption of complete rationality that the macroeconomic environment is endogenous and is indeterminate specifically it is argued without resorting to sunspot type arguments that microeconomic fundamentals do not suffice to characterize the economy at the macro level in particular we show how perceptions of rational agents of the workings of the economy a shape the environment b affect the environment sufficiently to ensure that rational economic agents find the observed environment consistent with their beliefs even though it is not as a by product we illustrate that endogenous macro uncertainty can arise as an outcome if rational economic agents whose expectations are anchored on endogenous variables expect them to arise finally we show that systematic errors can persist indefinitely under rationality

monopoly extraction of a durable non renewable resource failure of the coase conjecture the author studies a perfect information rational expectations markov equilibrium for the situation where a monopolist extracts a nonrenewable resource that is converted to a durable good even if short run extraction costs are constant the coase conjectur e fails provided that the depreciation rate of the durable good is positive copyright 1993 by the london school of economics and political science

least squares learning and business cycles abstract this paper investigates whether the neoclassical growth framework augmented with least squares estimated heuristic rules may reproduce u s business cycles i consider various assumptions about the length of the information set the influence of contemporaneous data on current forecasts and the limit case in which learning is completed calibrated to the u s economy this model may generate endogenous business cycles that do not exist under perfect foresight if random productivity shocks are introduced then the model is more volatile than under rational expectations or constant gain learning and reproduces some key u s business cycles stylized facts

depreciation erodes the coase conjecture if a durable good monopolist produces at constant marginal costs and the good depreciates there exists a family of strong markov perfect equilibrium smpe one member of this family entails instantaneous production of the level of stock produced in a competitive equilibrium this is consistent with the coase conjecture other smpe in the family entail steady state production at a stock level lower than in the competitive equilibrium there may be a jump to these steady states or they may be approached asymptotically monopoly profits are positive in these equilibria and the coase conjecture fails

quality upgrades and equilibrium in a dynamic monopoly market abstract we examine an infinite horizon model of quality growth for a durable goods monopoly the seller may offer any bundle s of current and previous quality improvements upgrades subgame perfect equilibrium seller payoffs range from capturing the full social surplus down to only the initial flow value of each good as long as the value of all future quality growth exceeds the value of a single unit each of these payoffs is realized in a markov perfect equilibrium that follows the socially efficient path however inefficient delay equilibria with bundling exist for innovation rates above a threshold

a family production overlapping generations economy abstract this paper provides a theoretical analysis of an overlapping generations economy in which production decisions and input output allocations are all carried out at the family level i consider a single class of output allocation schemes and various degrees of knowledge about the production technology under complete knowledge i show that a family organizational structure in which everyone receives his marginal contribution to output invests less in physical capital than under a perfectly competitive equilibrium environment under incomplete knowledge i analyze and compare how beliefs about the input output relationship affect the physical capital accumulation dynamics and the long run standards of living

durability and strategic trade are there rents to be captured abstract this paper analyzes strategic trade policy when home and foreign duopolists produce a durable good that is either sold or leased in a third country durability is important for two reasons it characterizes most of the products discussed in the strategic trade literature and it also calls for explicit dynamic modeling for duopolists who sell their product in a third country market this paper finds the optimal policy to be a tax on domestic output for duopolists who lease the good in a third country market though the optimal policy is a subsidy

durable goods monopoly increasing marginal cost and depreciation this paper combines increasing marginal cost and depreciation in a continuous time model of a durable goods monopolist in contrast to the case of increasing marginal cost but no depreciation analysed by kahn and the case of depreciation with constant marginal cost analysed by bond and samuelson steady state output in this model is less than in the competitive case a turnpike result shows that choice of a long enough time horizon can make the equilibrium path of output in a finite horizon game arbitrarily close to the path of the infinite horizon game

durable goods monopoly with discrete demand we analyze a dynamic game between consumers and the sole seller of a durable good unlike previous analyses we assume that there exists a finite collection of buyers rather than a continuum none of the main conclusions of the literature on durable goods monopoly survives this change in assumption coase s conjecture that a durable goods monopolist cannot earn supracompetitive profits in the continuous time limit bulow s proposition that renting a durable is always more profitable than selling it and stokey s proposition that precommitting to a time path of prices is always optimal are all false when the set of buyers is finite thus the assumption of a continuum of consumers so innocuous and useful a simplification in other contexts has proved misleading in the context of durable goods monopoly

monopoly and oligopoly provision of addictive goods this article investigates monopoly and oligopoly provision of an addictive good consumer preferences are modeled as in becker and murphy 1988 addictive goods have characteristics that create interesting strategic issues when suppliers are noncompetitive we characterize the perfect markov equilibrium of a market with noncompetitive supply of an addictive good and compare it with the efficient solution depending on particular parameter values we find a wide variety of possible steady state outcomes including ones with output above the efficient level and price below marginal cost we also find that market power can be disadvantageous

durable good monopolies with rational expectations and replacement sales a monopoly producer of a durable good is examined under the previously uninvoked assumption that the good depreciates and hence that replacement sales must occur if a fixed stock of the good is to be maintained we find two ways in which the no depreciation result that the monopoly will always at least eventually produce a stock equal to that produced by a competitive market may not hold if the length of the trading period is nonzero the limiting stock produced by the firm will be lower than the competitive stock to ensure the profitability of future replacement sales if the firm is able to constrain its production capacity it may choose a constraint that always binds in the sense that it will be impossible for the firm to achieve a stock equal to the competitive stock

the response of aggregate production to fertility induced changes in population age distribution with a particular focus upon long term supply effects the authors explored the implications of different population age distributions for the productive capacity of an economy a multilevel aggregate production process was specified plausible values assigned to its parameters and steady state solutions obtained under a range of alternative fertility assumptions the theoretical model was calibrated to conform with canadian data and published estimates of age sex substitution elasticities the study found productive capacity to be related to age distribution although the output effects exceed 8 regardless of the structure of the economy only when total fertility rate is less than 1 6 or well above 3 0 within the range of variation productive capacity and output per capita are lower for both younger and older populations altering the elasticity of substitution between different tasks has negligible effects upon the sensitivity of the economy to changes in age distribution altering the elasticity of substitution between different age sex groups for a given task has a markedly greater effect introducing either increasing or decreasing returns to scale has only a minor effect upon the sensitivity of the economy to changes in age distribution and marginal products are quite sensitive to changes in age distribution for both younger and older workers but far less sensitive for middle aged workers

chaotic learning equilibria chaotic temporary equilibrium trajectories under least squares learning are shown to exist in a standard version of the overlapping generations model theses trajectories show forecast errors that never vanish thus we do not find convergence to an equilibrium in which agents have perfect foresight complex trajectories can even be found in the case of savings functions which are monotonically decreasing in the expected gross rate of inflation in this case no cyclical or chaotic trajectories with perfect foresight exist thus learning alone is a source of chaotic dynamic journal of economic literature classification numbers d83 d84

on the consistency of backward looking expectations the case of the cobweb in dynamic models of economic fluctuations backward looking expectations with systematic forecasting errors are inconsistent with rational behaviour in non linear dynamic models exhibiting seemingly unpredictable chaotic fluctuations however simple habitual rule of thumb backward looking expectation rules may yield non zero but nevertheless non systematic forecasting errors in a chaotic model expectational forecasting errors may have zero autocorrelations at all lags even for rational agents patterns in these forecasting errors may be very difficult to detect especially in the presence of small noise backward looking expectations are then not necessarily inconsistent with rational behaviour we investigate whether simple expectation schemes such as naive or adaptive expectations can be consistent with rational behaviour in the simplest of all non linear dynamic economic models the non linear cobweb model

coase and hotelling a meeting of the minds in this paper we tie together the two literatures of durable goods monopoly and exhaustible resource pricing we show that the intertemporal no arbitrage condition that arises if the durable good monopolist seller can commit to a price path mirrors the intertemporal no arbitrage condition if the monopsonist buyer of an exhaustible resource can commit to a price path the intuition is that the durable good monopolist initially announces high future prices to get high valuation buyers to buy early and subsequently lowers the price to attract additional buyers on the other hand the monopsonist buyer of the exhaustible resource initially announces low future prices to encourage sellers to supply their units early and subsequently as the stock of the resource declines raises the price to call forth additional supply as the period of commitment shrinks to zero the durable good s price drops to its marginal cost and the exhaustible resource s price jumps to its choke level all in a twinkling of the eye a