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This book focuses on the latest advances in nonlinear dynamic modeling in economics and finance, mainly—but not solely—based on the description of strategic interaction by using concepts and methods from dynamic and evolutionary game theory. The respective chapters cover a range of theoretical issues and examples concerning how the qualitative theory of dynamical systems is used to analyze the local and global bifurcations that characterize complex behaviors observed in social systems where heterogeneous and boundedly rational economic agents interact. Nonlinear dynamical systems, represented by difference and differential and functional equations, are extensively used to simulate the behavior of time-evolving economic systems, also in the presence of time lags, discontinuities, and hysteresis phenomena. In addition, some theoretical issues and particular applications are discussed, as well. The contributions gathered here offer an up-to-date review of the latest research in thisrapidly developing research area.

AMASES è l'associazione nazionale che raccoglie i docenti di matematica delle Facoltà di Economia e gli studiosi interessati alle applicazioni matematiche in ambito economico-sociale. Tra i suoi principali ispiratori quarant'anni fa, nel 1976, figurano nomi importanti della italiana scienza (Bruno de Finetti, Giuseppe Ottaviani, Mario Volpato). Il primo presidente dell'associazione è stato il triestino Luciano Daboni. Ricostruire la storia dell'AMASES significa gettare uno sguardo originale sull'Italia di questi ultimi decenni sulla diffusione nel nostro Paese di culture e strumenti veicolati da discipline quali la Ricerca operativa, la Teoria dei giochi, la Finanza quantitativa; significa riflettere sul ruolo svolto in campo economico e sociale dai matematici tramite l'insegnamento, la ricerca, gli incarichi pubblici.

Attraverso brani di Dante, Galileo, Leopardi, Sinisgalli, Calvino, Eco, Høeg, Giordano, il “quaderno” mostra come una solida conoscenza dei concetti di base e della terminologia matematica abbia offerto tutta una gamma di metafore e di analogie che hanno notevolmente arricchito la vena letteraria di questi autori. Ma nel “quaderno” si parla anche di libri di scrittori come Pirandello, Saramago, Poe, Conan Doyle, Sciascia nei quali il lettore, con competenze matematiche, riesce a cogliere aspetti e chiavi di lettura meno immediati. Pure l'impostazione di molti romanzi “polizieschi” lascia intravedere una chiara struttura matematica. È un discorso che termina idealmente con i Simpson: non si tratta di letteratura ma di un “fenomeno” che la letteratura ha subito raccolto. E poi i riferimenti dei Simpson alla Matematica non solo sono frequenti ma anche di buon livello scientifico.

This book is open access under a CC BY-NC 4.0 license.This collected volume represents the final outcome of the COST Action IS1104 “The EU in the new complex geography of economic systems: models, tools and policy evaluation”.Visualizing the EU as a complex and multi-layered network, the book is organized in three parts, each of them dealing with a different level of analysis: At the macro-level, Part I considers the interactions within large economic systems (regions or countries) involving trade, workers migration, and other factor movements. At the meso-level, Part II discusses interactions within specific but wide-ranging markets, with a focus on financial markets and banking systems. Lastly, at the micro-level, Part III explores the decision-making of single firms, especially in the context of location decisions.

The book presents the lectures delivered during a short course held at Urbino University in summer 2015 on qualitative theory of dynamical systems, included in the activities of the COST Action IS1104 “The EU in the new economic complex geography: models, tools and policy evaluation”. It provides a basic introduction to dynamical systems and optimal control both in continuous and discrete time, as well as some numerical methods and applications in economic modelling.Economic and social systems are intrinsically dynamic, characterized by interdependence, nonlinearity and complexity, and these features can only be approached using a qualitative analysis based on the study of invariant sets (equilibrium points, limit cycles and more complex attractors, together with the boundaries of their basins of attraction), which requires a trade-off between analytical, geometrical and numerical methods. Even though the early steps of the qualitative theory of dynamical systems have been incontinuous time models, in economic and social modelling discrete time is often used to describe event-driven (often decision-driven) evolving systems.The book is written for Ph.D. and master's students, post-doctoral fellows, and researchers in economics or sociology, and it only assumes a basic knowledge of calculus. However it also suggests some more advanced topics.

The essays in this special volume survey some of the most recent advances in the global analysis of dynamic models for economics, finance and the social sciences. They deal in particular with a range of topics from mathematical methods as well as numerous applications including recent developments on asset pricing, heterogeneous beliefs, global bifurcations in complementarity games, international subsidy games and issues in economic geography. A number of stochastic dynamic models are also analysed. The book is a collection of essays in honour of the 60th birthday of Laura Gardini.​

The book focuses on the dynamics of nonlinear oligopoly models. It discusses the classical Cournot model with a large variety of demand and cost functions that illustrate the many different types of possible best response functions and it shows the existence of unique and multiple equilibria. Particular emphasis is placed on the influence of nonnegativity and capacity constraints. Dynamics are introduced under various assumptions for the adjustment process. An introduction to the analysis of global dynamics is given through some specific examples. The book also considers concave and general oligopolies and gives conditions for the local asymptotic stability of their equilibria, and it investigates global dynamics in some special cases. Other oligopolies examined include market share attraction games, labor-managed oligopolies, partially cooperating firms and models with intertemporal demand attraction. Local/global stability analyses are carried out for these models and the impact of constraints is discussed. The book contains a number of technical appendices that summarize techniques of global dynamics not easily accessible elsewhere.

Over the last two decades there has been a great deal of research into nonlinear dynamic models in economics, finance and the social sciences. This book contains twenty papers that range over very recent applications in these areas. Topics covered include structural change and economic growth, disequilibrium dynamics and economic policy as well as models with boundedly rational agents. The book illustrates some of the most recent research tools in this area and will be of interest to economists working in economic dynamics and to mathematicians interested in seeing ideas from nonlinear dynamics and complexity theory applied to the economic sciences.