agenda restrictions in multi issue bargaining abstract we study a bilateral multi issue bargaining procedure with complete information and endogenous agenda in the procedure proposals must be made on only one issue at a time although the proposer can choose which issue to bring to the table when bargaining frictions are small there is a large multiplicity of equilibrium agreements including ones with delay however equilibrium payoffs cannot be made arbitrarily small perpetual disagreement cannot be supported in equilibrium this multiplicity contrasts with the uniqueness found in the literature for a procedure where offers can be made in any subset of remaining issues

price distortions in agriculture and their effects an international comparison the central thesis of this paper is that agricultural pricing policies pursued by developing countries produce effects which are diametrically opposite to those produced by the pricing policies of many developed countries and that the policies of both are costly in terms of global welfare in general the agricultural sector in developing countries is heavily taxed while that in the developed countries receives substantial price protection the effects of agricultural price distortions on output consumption trade and rural employment are estimated for nine countries in addition the effects of price distortions on the distribution of income between producers and consumers on government revenue and foreign exchange and the net social losses of the policies are calculated the results indicate that there are large income transfers and impacts on migration from the rural to the urban sector in developing countries and from the urban to the rural sector in developed economies

nonlinearities in economic dynamics two reasons that led to the dominance of the linear stochastic difference equations approach the first one was the fact that the nonlinear systems seemed incapable of reproducing the statistical aspects of actual economic time series at best such models were able to produce periodic motion1 and an examination of the spectra of economic time series showed the absence of the spikes that characterise periodic data the emphasis on the equilibrium approach to aggregate economic behaviour cf lucas i 986 would make things even more difficult the plethora of stability results for models of infinitely lived agents with perfect foresight turnpike theorems suggested that even the regular fluctuations that had been derived in the literature on endogenous business cycles were incompatible with a theory that had solid microeconomic foundations further this indicated that while nonlinearities could be present the explanations of the fluctuations had to rest solely on the presence of exogenous shocks that working through the equilibrating mechanism would create the observed randomness if such shocks were absent the system would tend to a stationary state the second reason was the empirical success of the models based on linear stochastic difference equations low order autoregressive processes captured some of the features of aggregate time series in turn these processes can in principle result from an economy with complete markets where production is subject to exogenous shocks though the task of confronting these equilibrium models with actual data has not yielded uncontroversial results see the discussion and references in section i there was no obvious gain in the

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

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

can there be short period deterministic cycles when people are long lived this paper considers whether short period deterministic cycles can exist in a class of stationary overlapping generations models with long but finite lived agents it shows that if agents discount the future positively then as life spans get large nonmonetary cycles will disappear further neither constant monetary steady states nor stationary monetary cycles can exist it also shows that if agents discount the future negatively then there are robust examples in which constant monetary steady states as well as stationary monetary cycles with undiminished amplitude can occur no matter how long agents live

positive welfare effects of trade barriers in a dynamic partial equilibrium model we develop a simple two region cobweb type dynamic partial equilibrium model to demonstrate the existence of optimal possibly non zero trade barriers a pure comparative statics analysis of our model suggests that a reduction of trade barriers modeled as small but positive import tariffs always enhances welfare however taking a dynamic perspective reveals that nonlinear trade interactions between two regions may generate endogenous price fluctuations which can hamper welfare finally we allow special interest groups such as consumers or producers from these two regions to lobby for a particular level of trade barriers our model predicts that time varying trade barriers may be another channel for market instability

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

stability of cycles and expectations the actual dynamics of an economy depends on how agents forecast the future at every date as a function of their information on the past while possibly learning the structure of their environment we show in the case of a one dimensional state variable that under mild conditions on expectations functions a given cycle with perfect foresight that is stable in the actual dynamics is stable in a fictitious backward perfect foresight dynamics we exhibit a restricted class of expectations functions for which the converse is true

on competitive cycles in productive economies abstract in a model of overlapping generations with production money and an endogenous labor supply general conditions are given for the existence of two different types of cyclical equilibria the conditions are given in terms of the elasticities of demand for savings and for capital with respect to the interest rate and of the capital consumption ratio at the golden rule steady state examples using ces technologies are also studied

a characterization of ramsey equilibrium abstract consider a perfect foresight equilibrium model with a single capital good a borrowing constraint and many infinitely lived households with fixed but different discount factors the steady state capital stock is held by the most patient household quart j econ 95 1980 375 382 econ j 38 1928 543 559 an example shows the total capital can exhibit an equilibrium cycle in contrast to the stability property of the one household case in the example only the most patient household saves and his income deceases in capital we give a condition implying income is increasing in capital and use it to show any equilibrium converges to the steady state

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

dynamic complexity in duopoly games abstract we discuss the occurrence of periodic and chaotic phenomena in infinite horizon duopoly games where firms maximize their discounted sum of profits and use markov perfect equilibrium strategies in the alternating case their corresponding actions are then constrained orbits of a map similar to a cournot t tonnement we show that any behavior is possible for small discount factors and that one obtains the cournot t tonnement as the discount factor goes to zero in the simultaneous case we show by mean of an example that many cournot t tonnements can be viewed as markov perfect equilibria of an infinite horizon game and that one obtains the nash equilibrium of the static game as the discount parameter goes to zero we are thus led to study in detail the dynamical properties of a cournot t tonnement

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

nonlinearity and chaos in economic models implications for policy decisions this survey paper discusses the policy implications that can be expected from the recent research on nonlinearity and chaos in economic models expected policy implications are interpreted as a driving force behind the recent proliferation of research in this area in general it appears that no new justification for policy intervention is developed in models of endogenous fluctuations although this conclusion depends in part on the definition of equilibrium when justified however policy tends to be very effective in these models copyright 1993 by royal economic society

multi issue bargaining with endogenous agenda abstract the first part of this paper shows that in a noncooperative bargaining model with alternating offers and time preferences the timing of issues the agenda matters even if players become arbitrarily patient this result raises the question of which agenda should come up endogenously when agents bargain over a set of unrelated issues it is found that simultaneous bargaining over packages should be a prevailing phenomenon but we also point to the possibility of multiple equilibria involving even considerable delay journal of economic literature classification number c78

the importance of the agenda in bargaining abstract this paper discusses a multi issue bargaining game in which the players set up an agenda and negotiate on the issues sequentially according to this agenda we demonstrate that the agenda might play an important role in the bargaining and discuss the relationship between the agenda and the final outcome of the bargaining game assuming that players have conflicting evaluations regarding the importance of the issues under negotiation we identify the type of agenda each player prefers we also show that in such cases the outcome of the bargaining game need not to be efficient by demonstrating the strategic use of the agenda the paper explains the phenomenon of bargaining on the agenda

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

chaos significance mechanism and economic applications imagine a bargaining model say involving diplomats negotiating tariff levels or a disarmament treaty in which each party has been instructed by higher headquarters to respond to each new offer by her opposite number with a counteroffer that is to be calculated from a simple reaction function provided in advance both negotiating parties are prohibited from revealing their own reaction functions to the other if the perfectly deterministic sequence of offers and counteroffers that must emerge from these simple rules were to begin to oscillate wildly and apparently at random the negotiations could easily break down as each party not understanding the source of the problem came to suspect the other side of duplicity and sabotage yet all that may be involved as we will see is the phenomenon referred to as chaos a case that is emphatically not pathological but in which a dynamic mechanism that is very simple and deterministic yields a time path so complicated that it will pass most standard tests of randomness chaos has become a subject of great interest to specialists and nonspecialists alike besides economics it has entered the literature of geometry physics ecology and meteorology it has been written about at length in the new york times magazine and scientific american as well as technical publications this article seeks to describe what it is how it works and what it means for economics

the emergence of chaos from classical economic growth this paper shows how fluctuations of an erratic and unstable nature can emerge from the classical deterministic economic growth process implications of the analysis would appear to be at least two first pronounced changes in the way an economy behaves need not cause us to reject our understanding of how it works second we need not seek in exogenous forces an explanation as to why behavioral patterns change and why it may be so difficult to anticipate future events from the profile of past experience

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

delays and partial agreements in multi issue bargaining abstract we model a situation in which two players bargain over two pies one of which can only be consumed starting at a future date suppose the players value the pies asymmetrically one player values the existing pie more than the future one while the other player has the opposite valuation we show that players may consume only a fraction of the existing pie in the first period and then consume the remainder of it along with the second pie at the date at which the second pie becomes available thus our model features a special form of bargaining delay in which agreements take place in multiple stages such partial agreements arise when players are patient enough when they expect the second pie to become available soon and when the asymmetry in their valuations is large enough

food pricing policy in developing countries bias against agriculture or for urban consumers price policy discrimination against agricultural producers in order to provide cheap food for urban consumers has been widely cited in development forums as a cause of agricultural stagnation evidence is presented that suggests no consistent pattern of discrimination against producers for a major food commodity wheat however consumer subsidies and trade policies have reduced bread prices to urban consumers in many countries price data from the early 1980s are assembled for thirty one developing countries nominal protection coefficients for producers and consumers at official and corrected exchange rates and wheat fertilizer price ratios are estimated for each country price discrimination against agriculture arising from government policy interventions has been widely cited as a major factor in the poor agricultural performance of many developing countries several important studies published in the last five years have presented evidence ofgovernment policies that decrease prices re ceived by farmers for their produce peterson 1979 1983 analyzed official producer prices during the 1960s from a sample of twenty eight developing countries to show that producer price incentives in developing countries were consistently well below those in industrialized countries during the 1970s the world bank sponsored a series of case studies of agricul tural policy incentives in thailand pakistan egypt and argentina using data up to the mid 1970s which showed that governments of these countries were consistently taxing the agricultural sector through price policy see the authors are economists with cimmyt the international maize and wheat improvement centre based in pakistan and mexico respectively views expressed in this paper are not necessarily those of

perfectly competitive models of endogenous business fluctuations the endogenous hypothesis is not new at a pre analytic level it is based on the simple intuition that market mechanisms are inherently dynamically unstable at least around their stationary positions in this note i want to stress the theoretical point that there is nothing in the working of a perfectly competitive market system that prevents it from displaying persistent and endogenous fluctuations and that moreover such fluctuations may have their origins in market fundamentals such as factor intensities factor substitutability degree of impatience and so forth nevertheless macroeconomic models of endogenous fluctuations still have to prove that apart from being very beautiful they can also be useful to understand the so called heal world hit sunt leones this article is not intended to be a survey of all that has been written in this area in the last decade i have no title whatsoever to talk about empirical studies chera sayers contribution in this same volume addresses that guestion scheinkman 1990 is a readily available survey of nonlinear statistical methods that are relevant to this debate as for the theory incompetence recommends that i avoid touching on sunspot equilibria olg models and more generally expectations driven cycles they are instead discussed in jean michel grandmont s article finally marketing awareness implies recommending boldrin and woodford 1990 as a reasonably complete survey of what the endogenous cycle research program has recently produced at a theoretical level

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

first things first the agenda formation problem for multi issue committees abstract the paper focuses on sequential bargaining procedures in which parties are allowed to differ in several respects we first highlight the strategic effects in the bargaining game and the often conflicting incentives that players need to take into account in forming their preferences over agendas we then show that there is a pareto superior agenda among the issue by issue procedures this consists in setting the most important issue first unless this is difficult urgent in the sense that there is probability of game breakdown after a rejection in the negotiations over this issue in this case parties prefer to negotiate over the easy issue first

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

non cooperative bargaining and union formation we study a union formation decision problem when workers consist of two groups distinguished by different productivities workers may form either a joint union or two separate unions the whole decision process is modelled as an extensive form bargaining game workers form a joint union when the sizes or productivities of the groups are similar in the first case there is a wage differential which is more less than proportional to the productivity difference if the size of the more productive is smaller larger than that of the less productive in the second case there is no wage differential in this paper we study a union formation decision problem when workers consist of two groups distinguished by different productivities they may form either a joint union or two separate unions depending on the relative size and productivity of the two groups the whole decision process is modelled as an extensive form bargaining game in which the two groups of workers bargain with each other as well as with a firm the labour market is sharply distinguished from the goods market by the widespread practice of collective bargaining usually several groups of workers with different characteristics for example skill level or geographical location are represented as a single unit and or several employers form a single bargaining unit against a giant union this multiplicity of bargaining units creates a complicated bargaining structure and makes the outcome hard to analyse the purpose of this paper is to provide a model which captures this complexity and at the same time clarifies the underlying structure of bargaining power although economists have been aware of the multiplicity problem for a long time it has been received little rigorous theoretical treatment until recently davidson 1985 examined the possible gains that can be obtained by trade unions through joint bargaining in an oligopolistic industry there is a positive externality due to the fact that a higher wage rate in one firm generates a larger demand hence a higher wage in competing firms when a joint union is organized these externalities are internalized to the benefit of workers horn and wolinsky 1985 investigated the equilibrium pattern of unionization in an industry where a firm employs two types of workers they found that workers tend to form a single union when the two types are substitutes in the sense that the incremental contribution of one group to the firm s revenue is decreasing with respect to the size of the other group since workers bargaining power comes from the loss that they can

nominal and effective protection in the egyptian agricultural sector a multicommodity analysis the estimation of effective protection coefficients is reported for 18 commodities produced in the egyptian agricultural sector both the corden and balassa formula are used attention is focussed on the effects on those estimates of using official and free market exchange rates and of the exclusion and inclusion of the value of by products it is concluded that when the market exchange rate is used egyptian agricultural production faces overall disincentives from the protective structure

ecological threshold and ecological economic threshold implications from an ecological economic model with adaptation abstract this paper investigates ecological threshold and ecological economic threshold by developing an ecological economic model an extension of a population resource dynamics model developed by brander and taylor 1998 the model reflects three critical issues regarding an ecological economic system system boundary non convexity and adaptation the paper elucidates six main findings ecological economic threshold may come before ecological threshold the ecological economic threshold may exhibit a highly context dependent and dynamic nature which suggests the precautionary principle markets do not respond sufficiently to maintain resiliency under an external shock as prices do not reflect thresholds the system can be restored by intervention even after crossing the ecological economic threshold various transitional paths are possible in restoring the system and adaptation affects resilience to a somewhat significant effect which suggests the importance of better information and education because of the complexity of the model i adopt a system dynamics approach for the development and analysis of the model

endogenous real exchange rate fluctuations in an optimizing open economy model abstract this paper constructs a simple intertemporal model of a small open economy inhabited by forward looking agents in which endogenous fluctuations in the real exchange rate can arise in equilibrium i e fluctuations that are not linked to movements in economic fundamentals the key condition for the main results is the assumption that the marshall lerner condition does not hold i e that the country s exports and imports are inelastic to its real exchange rate it is shown that given that the marshall lerner condition fails there exist periodic equilibria and or stationary sunspot equilibria in the neighborhood of the stationary state

the game of negotiations ordering issues and implementing agreements abstract we use a two issue bargaining model with asymmetric information to study agent choice of how to structure bargaining we uncover the settings in which different agenda structures are chosen in equilibrium how the order in which issues are bargained over matters and what impact the rules for implementing agreements have if agreements are implemented as they are reached easy issues are negotiated first and hard issues later if agreements are implemented only after all issues are settled then it is size that matters with large issues settled first all parties prefer the former rules of implementation to the latter

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

an empirical analysis of comparative advantage in egyptian agriculture egyptian comparative advantage in each of 18 agricultural commodities is assessed for a number of years using both the domestic resource coefficient and net social profitability it is found that egypt enjoys a comparative advantage in most cash crops but a comparative disadvantage in many grains and pulses the results suggest that foreign exchange could be earned more efficiently by altering relative incentives in favour of export oriented crops

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

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

rational expectations business cycles in search equilibrium we examine the rational expectations equilibrium paths of the model of search and barter in diamond s aggregate demand management in search equilibrium for some initial positions there are two equilibrium paths converging to different steady states with the high activity path pareto dominating the low activity path with some parameters there is also a continuum of equilibrium paths converging to another steady state moreover there can be cycles that are equilibrium paths even though the environment is stationary

equilibrium beliefs in linear rational expectations models abstract non unique equilibria are widely found in dynamic models with money increasing returns and imperfect competition this paper provides a convenient method for representing the entire set of equilibria in a large class of models similar to those studied by blanchard and kahn the method utilizes restrictions imposed on comovements implied by the structures of such models it is an aid in theoretical analysis and can be instrumental in the development of econometric tests of indeterminacy and sunspots important restrictions on admissible non fundamental uncertainty and on model forecasts are also highlighted

bargaining frictions bargaining procedures and implied costs in multiple issue bargaining the paper explores how bargaining frictions and bargaining procedures interact to determine players bargaining costs in multiple issue bargaining settings when bargaining frictions take the form of discounting and agreements are implemented as they are reached issue by issue negotiation can generate bargaining costs different from those that occur if all issues are bargained simultaneously these cost differences result in differences in allocations across bargaining procedures such that players disagree on the desired method of bargaining similar results hold for certain fixed cost bargaining friction specifications this analysis provides a potential explanation of both agenda bargaining and incomplete contracts

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 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

habit persistence money and overlapping generations abstract this paper provides a comprehensive characterization of the stationary and non stationary monetary equilibria in a two period pure exchange overlapping generations model with multiplicative habit persistence preferences somewhat surprisingly the upshot is that multiplicative habit persistence preferences do not affect the qualitative properties of the dynamical system in these models in addition the qualitative properties of models with subtractive and multiplicative habits are largely similar any possibility of cyclical fluctuations beyond periodicity two is also ruled out

expectational diversity in monetary economies abstract we investigate an overlapping generations monetary economy in which expectations depend upon backward looking predictors of the future price level we use discrete choice theory to model how agents select a predictor based on its past forecast error letting the number of available predictors tend to infinity we obtain the large type limit of the system taking the large type limit dramatically reduces the number of free parameters while maintaining the expectational diversity which we argue is necessary for constructing plausible learning based models the model s dynamics are strongly influenced by the intensity of choice which measures how sensitive an agent s predictor choice is to differences in forecast errors across predictors when the intensity of choice is low the monetary steady state is stable as the intensity of choice increases and if certain parametric restrictions are met the system undergoes a hopf bifurcation in which case we document the existence of highly irregular equilibrium price paths