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We introduce a banking sector and heterogeneous agents in the Matsuyama et al. (2016) dynamic over-lapping generations neoclassical model with good and bad projects. The model captures the benefits and costs of an advanced banking system which can facilitate economic development when allocates resources to productive activities but can also hamper progress when invests in projects that do not contribute to capital formation. When the economy achieves higher stages of development it becomes prone to cycles. We show how the disparity of incomes across agents de-pends on changes in both the prices of the factors of production and the reallocation of agents across occupations.

We explore the effects of Brexit on trade patterns and on the spatial distribution of industry between the United Kingdom and the European Union and within the EU. Our study adopts a new economic geography (NEG) perspective developing a linear model with three regions, the UK and two separated regions composing the EU. The 3-region framework and linear demands allow for different trade patterns. Two possible ante-Brexit situations are possible, depending on the interplay between local market size, local competition and trade costs: industrial agglomeration or dispersion. Considering a soft and a hard Brexit scenario, the ante-Brexit situation is altered substantially, depending on which scenario prevails. UK firms could move to the larger EU market, even in the peripheral region, reacting to the higher trade barriers, relocation representing a substitute for trade. Alternatively, some EU firms could move in the more isolated UK market finding shelter from the competition inside the EU. We also consider the post-Brexit scenario of deeper EU integration, leading to a weakening of trade links between the EU and the UK. Our analysis also reveals a highly complex bifurcation sequence leading to many instances of multistability, intricate basins of attraction and cyclical and chaotic dynamics., Series: Department of Economics Working Paper Series

We propose a prototype model of market dynamics in which all functional relationships are linear. We take into account three borders, defined by linear functions, which are intrinsic to the economic reasoning: non-negativity of prices; downward rigidity of capacity (depreciation) and a capacity constraint for the production decision. Given the linear specification, the borders are the only source for the emerging of cyclical and more complex dynamics. In particular, we discuss centre bifurcations, border collision bifurcations and degenerate flip bifurcations - dynamic phenomena the occurrence of which are intimately related to the existence of borders., Series: Department of Economics Working Paper Series

This collected volume gives a concise account of the most relevant scientific results of the COST Action IS1104 "The EU in the new complex geography of economic systems: models, tools and policy evaluation", a four-year project supported by COST (European Cooperation in Science and Technology). It is divided into three parts reflecting the different perspectives under which complex spatial economic systems have been studied: (i) the Macro perspective looks at the interactions among international or regional trading partners; (ii) the Meso perspective considers the functioning of (financial, labour) markets as social network structures; and, finally, (iii) the Micro perspective focuses on the strategic choices of single firms and households. This Volume points also at open issues to be addressed in future research.

This collected volume gives a concise account of the most rel-evant scientific results of the COST Action IS1104 "The EU in the new complex geography of economic systems: models, tools and policy evaluation", a four-year project supported by COST (European Cooperation in Science and Technology). It is divided into three parts reflecting the different perspectives under which complex spatial economic systems have been studied: (i) the Macro perspective looks at the interactions among international or regional trading partners; (ii) the Meso perspective considers the functioning of (financial, labour) markets as social network structures; and, finally, (iii) the Micro perspective focuses on the strategic choices of single firms and households. This Volume points also at open issues to be addressed in future research.

We augment a model of endogenous credit cycles by Matsuyama et al.(2016) with human capital to study the impact of human capital on the stability of central economic aggregates. Thus we offer a linkage between human capital formation and credit market instability on a macrolevel combined with an analysis of functional income distribution. Human capital is modelled as pure external effect of production following a learning-by-producing approach. Agents have access to two different investment projects, which differ substantially in their next generations spillover effects. Some generate pecuniary externalities and technological spillovers through human capital formation whereas others fail to do so and are subject to financial frictions. Due to this endogenous credit cycles occur and a pattern of boom and bust cycles can be observed. We explore the impact of human capital on the stability of the system by numerical simulations which indicate that human capital has an ambiguous effect on the evolution of the output. Depending on the strength of the financial friction and the output share of human capital it either amplifies or mitigates output fluctuations. This analysis shows that human capital is an essential factor for economic stability and sustainable growth as a high human capital share tends to make the system's stability robust against shocks., Series: Department of Economics Working Paper Series

This paper analyzes the optimal location choice of a firm in a dynamic Cournot framework, in which firms’ absorptive capacities may depend on their knowledge stock. The firm decides whether to locate irreversibly in a cluster or in isolation. In the cluster the firm benefits from inward spillovers from its competitors, but also generates outward spillovers. If the firm chooses to locate in isolation no knowledge flows occur. All firms’ production costs are determined by their knowledge stocks, which evolve over time due to own R&D investments and potentially inward spillovers. It is shown that, if absorptive capacity is constant, the incentive to locate in the cluster decreases with respect to the firm’s knowledge stock. Conversely, if absorptive capacity depends positively on knowledge stock, the firm’s incentive to join the cluster is larger the more knowledge it has. It is also shown that qualitative properties of the equilibrium paths of R&D investments and knowledge stocks differ substantially depending on whether absorptive capacities are constant or knowledge dependent.

Agent Based Modeling (ABM) has become a widespread approach to model complex interactions. In this chapter after briefly summarizing some features of ABM the different approaches in modeling spatial interactions are discussed. It is stressed that agents can interact either indirectly through a shared environment and/or directly with each other. In such an approach, higher-order variables such as commodity prices, population dynamics or even institutions, are not exogenously specified but instead are seen as the results of interactions. It is highlighted in the chapter that the understanding of patterns emerging from such spatial interaction between agents is a key problem as much as their description through analytical or simulation means. The chapter reviews different approaches for modeling agents’ behavior, taking into account either explicit spatial (lattice based) structures or networks. Some emphasis is placed on recent ABM as applied to the description of the dynamics of the geographical distribution of economic activities—out of equilibrium. The Eurace@Unibi Model, an agent-based macroeconomic model with spatial structure, is used to illustrate the potential of such an approach for spatial policy analysis.

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New Economic Geography (NEG) models do not typically account for the presence of regions other than the ones involved in the integration process. We explore such a possibility in a Footloose Entrepreneur (FE) model aiming at studying the stability properties of long-run industrial location equilibria. We consider a world economy composed by a customs union of two regions (regions 1 and 2) and an "outside region" which can be regarded as the rest of the world (region 3). The effects of economic integration on industrial agglomeration within the customs union are studied under the assumption of a constant distance between the customs union itself and the third region. The results show that higher economic integration does not always implies the standard result of full agglomeration of FE models. This incomplete agglomeration outcome is due to the fact that the periphery region keeps a share of industrial activities in order to satisfy a share of "external demand". That is, the deindustrialization process brought about by economic integration in the periphery of the union is mitigated by the demand of consumers living in the rest of the world. In general, the market size of the third region affects the number of the long-run equilibria, as well as their stability properties. In addition to the standard outcomes of FE models, we describe the existence of two asymmetric equilibria characterised by unequal distribution of firms between regions 1 and 2, with no full agglomeration though. Interestingly, these equilibria are stable and therefore can be regarded as a likely long-run equilibrium state of the economy., Series: Department of Economics Working Paper Series

Boom and bust cycles are widely documented in the literature on industry dynamics. Rigidities and delays in capacity adjustment in combination with bounded rational behavior have been identified as central driving forces. We construct a model that features only these two elements and we show that this is indeed sufficient to reproduce some stylized facts of a boom and bust cycle. The bifurcation diagrams summarizing the dynamic behavior reveal complex cycles and in particular also abrupt changes in the nature of these cycles. We apply new insights from the mathematical theory of piecewise smooth dynamic systems - in particular, results from the theory of border collision bifurcations - and show that the very existence of borders such as capacity constraints or nonnegativity constraints may lie behind abrupt changes in the dynamic behavior of economic variables. (author's abstract), Series: Department of Economics Working Paper Series

This article introduces a social planner version of a model central to the New Economic Geography for explicitly answering whether the symmetric equilibrium outcome of the decentralized market economy is socially desirable. We find that savings incentives are too weak, resulting in an inefficiently low capital stock and therefore an inadequate number of product varieties. The optimal subsidy and taxation scheme to remedy these distortions resulting from the monopolistic competition structure is shown to be a sales subsidy financed by a lump-sum tax that results in marginal cost pricing. Interestingly, implementing this optimal policy might actually destroy the stability of the symmetric equilibrium and result in unintended agglomeration processes.

Modern macroeconomic models with a Keynesian flavour usually involve nominal rigidities in wages and goods prices. A typical model is static and combines wage bargaining in the labour markets and monopolistic competition in the goods markets. As central policy implication it follows that deregulating labour and/or goods markets increases equilibrium employment. We reassess the consequences of deregulation in a dynamic model. It still increases employment at the fixed point, which corresponds to the static equilibrium solution. However, deregulation may also lead to stability loss and endogenous fluctuations., Series: Working Papers Series "Growth and Employment in Europe: Sustainability and Competitiveness"

This paper contrasts the dynamical behaviors of fixed and flexible price regimes for a monopolistically competitive manufacturing sector in which firms base decisions on expectations about product demands. (author's abstract), Series: Department of Economics Working Paper Series

Modern macroeconomic models with a Keynesian flavour usually involve nominal rigidities in wages and commodity prices. A widely used conceptual framework is specifying a wage-setting and a price setting equation, while a more explicit microfoundation recurs to wage bargaining in the labour markets and monopolistic competition in the commodity markets; (Blanchard and Giavazzi, 2001). Characteristic for those approaches is that deregulating the labour markets (i.e. reducing the bargaining power of workers and/or reducing the unemployment benefits) and/or deregulating the commodity markets (i.e. reducing the market power of commodity suppliers) increases equilibrium employment. However, those models are typically static models which do not specify explicitly the economic process in time. In the following paper, we develop a dynamic macroeconomic model in which commodity markets are characterised by monopolistic competition and labour markets by wage bargaining. The number of firms is fixed; the incorporation of firm entry and exit is left for further research. In our analysis the equilibrium solution is a fixed point of the dynamic model which exhibits the usual comparative static properties (deregulating the labour and/or the commodity market increases employment). However, depending upon the parameters the fixed point may loose stability through a Flip-bifurcation giving rise to cyclical solutions. We show analytically that commodity and labour market deregulation may lead to instability; in numerical simulation we even found cases in which deregulation leads to lower average employment. Both results, valid in a dynamic framework, contrast with the usual comparative static properties., Series: Department of Economics Working Paper Series