Indeterminacy and nonlinear dynamics in an OLG growth model with endogenous labour supply and inherited tastes

This study analyses the dynamics of a two-dimensional overlapping generations economy with endogenous labour supply à la Reichlin (1986) and aspirations, i.e. effective consumption by individuals of the current generation depends on the standard of living (based on consumption experience) of those that belong to the previous generation. We show that the relative importance of aspirations in utility is responsible for the existence of either one (normalised) steady state or two steady states. In particular, when the relative degree of aspiration is fairly high, the supply of labour becomes higher than those corresponding to the normalised steady state because individuals want to increase the amount of time spent at work when they are young in order to increase consumption possibilities when they are old, since the relative importance of past consumption is high in such a case. As regards local stability, the normalised steady state can be determinate or indeterminate and can undergo either a transcritical bifurcation or supercritical flip bifurcation depending on the intensity of the taste externality. Moreover, some interesting global dynamic properties emerge: indeed, when the relative importance of aspirations is strong enough, cyclical or quasi-cyclical behaviour and/or coexistence of attractors may occur. In particular, this last phenomena may cause global indeterminacy even if the stationary equilibria are locally determinate.Aspirations; Indeterminacy; Labour supply; OLG model; Nonlinear dynamics

Closed form solution for dynamic of sustainable tourism

The attention to environmental conditions of the planet drives many scientists to study and to analyze the externalities of the economic activities and their relapses on nature. The issue is quite complex because of the non-linear interactions between human and natural phenomena. Our intention is to study the particular case of tourist activities. Starting from the specification of the concept of sustainable development, using a simple model we characterize the conditions for which there exists an optimal equilibrium between nature and tourism. Then, trough several simulations we study which policies are able to guarantee the better synergies between economy and environmental quality.Policy, Sustainable Tourism

Indeterminacy, bifurcations and chaos in an overlapping generations model with negative environmental externalities

We analyze an overlapping generations model where agent’s welfare depends on three goods: leisure, environmental quality and consumption of a private good. We assume that the production process of the private good depletes the natural resource and that the consumption of the private good alleviates the damages due to environmental deterioration. In such context, we show that individuals’ reactions to environmental deterioration may lead to complex dynamics, in particular to the rise of periodic orbits and chaos.Defensive environmental expenditures; overlapping generations models; indeterminacy; undesirable economic growth

An Evolutionary Analysis of Turnout With Conformist Citizens

We propose an evolutionary analysis of a voting game where citizens have a preference for conformism that adds to the instrumental preference for the electoral outcome. Multiple equilibria arise, and some generate high turnout. Simulations of best response dynamics show that high turnout is asymptotically stable if conformism matters but its likelihood depends on the reference group for conformism: high turnout is more likely when voters care about their own group's choice, as this better overrides the free rider problem of voting games. Comparative statics on the voting cost distribution, the population's size or the groups' composition are also done.Turnout, Turnout, coordination games, Poisson games, conformism, selection dynamics.

See you on Facebook: the effect of social networking on human interaction

This paper proposes an evolutionary framework to explore the dynamics of social interaction in an environment characterized by online networking and increasing pressure on time. The model shows how time pressure encourages the choice to develop social interactions also through online networking instead of relying exclusively on face to face encounters. Our findings suggest that the joint influence exerted by the reduction in leisure time and the new opportunities of participation offered by web-mediated communication may progressively lead a growing share of the population to adopt networking sites as an indispensable environment for the development of interpersonal relationships.internet, computer-mediated communication, social networking, online networks, Facebook, human interaction, social capital

Will growth and technology destroy social interaction? The inverted U-shape hypothesis

This paper addresses two hot topics of the contemporary debate, social capital and economic growth. Our theoretical analysis sheds light on decisive but so far neglected issues: how does social capital accumulate over time? Which is the relationship between social capital, technical progress and economic growth in the long run? The analysis shows that the economy may be attracted by alternative steady states, depending on the initial social capital endowments and cultural exogenous parameters representing the relevance of social interaction and trust in well-being and production. When material consumption and relational goods are substitutable, the choice to devote more and more time to private activities may lead the economy to a “social poverty trap”, where the cooling of human relations causes a progressive destruction of the entire stock of social capital. In this case, the relationship of social capital with technical progress is described by an inverted U-shaped curve. However, the possibility exists for the economy to follow a virtuous trajectory where the stock of social capital endogenously and unboundedly grows. Such result may follow from a range of particular conditions, under which the economy behaves as if there was no substitutability between relational activities and material consumption.Social capital; relational goods; happyness; economic growth.

Will growth and technology destroy social interaction? The inverted U-shape hypothesis

This paper addresses two hot topics of the contemporary debate, social capital and economic growth. Our theoretical analysis sheds light on decisive but so far neglected issues: how does social capital accumulate over time? Which is the relationship between social capital, technical progress and economic growth in the long run? The analysis shows that the economy may be attracted by alternative steady states, depending on the initial social capital endowments and cultural exogenous parameters representing the relevance of social interaction and trust in well-being and production. When material consumption and relational goods are substitutable, the choice to devote more and more time to private activities may lead the economy to a “social poverty trap”, where the cooling of human relations causes a progressive destruction of the entire stock of social capital. In this case, the relationship of social capital with technical progress is described by an inverted U-shaped curve. However, the possibility exists for the economy to follow a virtuous trajectory where the stock of social capital endogenously and unboundedly grows.Relational goods, social capital, economic growth, technical change

Economic Growth, Technical Progress, and Social Capital: the Inverted U Hypothesis

We set up a theoretical framework to analyze the possible role of economic growth and technical progress in the erosion of social capital. Under certain parameters, the relationship between technical progress and social capital can take the shape of an inverted U curve. We show the circumstances allowing the economy to follow trajectories where the stock of social capital grows endogenously and unboundedly.Social capital; technological progress; economic growth, social interactions

The Solaria Syndrome: Social Capital in a Growing Hyper-technological Economy

Paper presented at the Conference “From GDP to Well-Being: Economics on the Road to Sustainability”, Ancona, Italy, 3-5 December 2009. Abstract We develop a dynamic model to analyze the sources and the evolution of social participation and social capital in a growing economy characterized by exogenous technical progress. Starting from the assumption that the well-being of agents basically depends on material and relational goods, we show that the best-case scenarios hold when technology and social capital both support just one of the two productions at the expenses of the other. However, trajectories are possible where technology and social interaction balance one another in fostering the growth of both the social and the private sector of the economy. Along such tracks, technology may play a crucial role in supporting a “socially sustainable” economic growth.technology; economic growth; relational goods; social participation; social capital