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About

About

Alberto A. Pinto is a full professor at the Department of Mathematics, Faculty of Sciences, University of Porto (Portugal). He is a researcher at the Laboratory of Artificial Intelligence and Decision Support, Institute for Systems and Computer Engineering LIAAD, INESC TEC. He is the founder and co-editor-in-chief (with michel benaim) of the Journal of Dynamics and Games, published by the American Institute of Mathematical Sciences (AIMS). He was the President of International Center for Mathematics (CIM) from 2011 to 2016. Since 2016 he is President of the General Assembly of CIM.

Alberto A. Pinto worked with David Rand at the University of Warwick, UK, on his master's thesis (1989) that studied the work of Feigenbaum and Sullivan on scaling functions and he went on to a PhD (1991) on the universality features of other classes of maps that form the boundary between order and chaos.

During this time Alberto A. Pinto met a number of the leaders in dynamical systems, notably Dennis Sullivan and Mauricio Peixoto, and this had a great impact on his career. As a result he and his collaborators have made many important contributions to the study of the fine-scale structure of dynamical systems and this has appeared in leading journals and in his book "Fine Structures of Hyperbolic Diffeomorphisms" (2010) coauthored with Flávio Ferreira and David Rand.

While a postdoc with Dennis Sullivan at the Graduate Center of the City University of New York he met Edson de Faria and through Mauricio Peixoto he got in contact with Welington de Melo. With de Melo he proved the rigidity of smooth unimodal maps in the boundary between chaos and order extending the work of MacMullen. Furthermore, de Faria, de Melo and Alberto A. Pinto proved the conjecture raised in 1978 in the work of Feigenbaum and Coullet-Tresser which the characterizes the period-doubling boundary between chaos and order for unimodal maps. This appeared in the research article “Global Hyperbolicity of Renormalization for Smooth Unimodal Mappings” published at the journal Annals of Mathematics (2006) and was based in particular in the previous works of Sandy Davie, Dennis Sullivan, Curtis McMullen and Mikhail Lyubich.

Since then Alberto Pinto has branched out into more applied areas. He has contributed across a remarkably broad area of science including optics, game theory and mathematical economics, finance, immunology, epidemiology, and climate and energy. In these applied areas, he has published widely overpassing more than one hundred scientific articles. He edited two volumes, with Mauricio Peixoto and David Rand, untitled “Dynamics and Games I and II” (2011). These two volumes initiated the new Springer Proceedings in Mathematics series. He edited with David Zilberman the volume untitled “Optimization, Dynamics, Modeling and Bioeconomy I” (2015) that also appeared at Springer Proceedings in Mathematics & Statistics series. While President of CIM, with Jean-Pierre Bourguignon, Rolf Jeltsch and Marcelo Viana, he edited the books "Dynamics, Games and Science" and "Mathematics of Planet Earth" that initiated the "CIM Series in Mathematical Sciences", published by Springer-Verlag. He edited, with J. F. Oliveira and J. P. Almeida, the book "Operational Research", published by Springer-Verlag at the CIM Series in Mathematical Sciences". he edited, with Lluís Alsedà, Jim Cushing and Saber Elaydi, the book "Difference Equations, Discrete Dynamical Systems and Applications", published at the Springer Proceedings in Mathematics & Statistics. He published, with Elvio Accinelli Gamba, Athanasios N. Yannacopoulos and Carlos Hervés-Beloso, the book "Trends in Mathematical Economics", published by Springer-Verlag.

Alberto A. Pinto with Michel Benaim founded the Journal of Dynamics and Games (2014) of the American Institute of Mathematical Sciences (AIMS) and currently they are the editors-in-chief of the journal. He has also increasingly taken on important administrative tasks. He was a member of the steering committee of Prodyn at the European Science Foundation (1999-2001). He was the executive coordinator (2009-2010) of the Scientific Council of Exact Sciences and Engineering at the Fundação para a Ciência e Tecnologia.

Interest
Topics
Details

Details

  • Name

    Alberto Pinto
  • Role

    Research Coordinator
  • Since

    01st May 2011
  • Nationality

    Portugal
  • Contacts

    +351220402963
    alberto.pinto@inesctec.pt
003
Publications

2023

Welfare-Balanced International Trade Agreements

Authors
Martins, F; Pinto, AA; Zubelli, JP;

Publication
MATHEMATICS

Abstract
In this work, we consider a classic international trade model with two countries and one firm in each country. The game has two stages: in the first stage, the governments of each country use their welfare functions to choose their tariffs either: (a) competitively (Nash equilibrium) or (b) cooperatively (social optimum); in the second stage, firms competitively choose (Nash) their home and export quantities under Cournot-type competition conditions. In a previous publication we compared the competitive tariffs with the cooperative tariffs and we showed that the game is one of the two following types: (i) prisoner's dilemma (when the competitive welfare outcome is dominated by the cooperative welfare outcome); or (ii) a lose-win dilemma (an asymmetric situation where only one of the countries is damaged in the cooperative welfare outcome, whereas the other is benefited). In both scenarios, their aggregate cooperative welfare is larger than the aggregate competitive welfare. The lack of coincidence of competitive and cooperative tariffs is one of the main difficulties in international trade calling for the establishment of trade agreements. In this work, we propose a welfare-balanced trade agreement where: (i) the countries implement their cooperative tariffs and so increase their aggregate welfare from the competitive to the cooperative outcome; (ii) they redistribute the aggregate cooperative welfare according to their relative competitive welfare shares. We analyse the impact of such trade agreement in the relative shares of relevant economic quantities such as the firm's profits, consumer surplus, and custom revenue. This analysis allows the countries to add other conditions to the agreement to mitigate the effects of high changes in these relative shares. Finally, we introduce the trade agreement index measuring the gains in the aggregate welfare of the two countries. In general, we observe that when the gains are higher, the relative shares also exhibit higher changes. Hence, higher gains demand additional caution in the construction of the trade agreement to safeguard the interests of the countries.

2023

Operational Research

Authors
Almeida, JP; Geraldes, CS; Lopes, IC; Moniz, S; Oliveira, JF; Pinto, AA;

Publication
Springer Proceedings in Mathematics & Statistics

Abstract

2023

Optimal social welfare policy within financial and life insurance markets

Authors
Hoshiea, M; Mousa, AS; Pinto, AA;

Publication
OPTIMIZATION

Abstract
We consider a continuous lifetime model for investor whose lifetime is a random variable. We assume the investor has an access to the social welfare system, the financial market and the life insurance market. The investor aims to find the optimal strategies that maximize the expected utility obtained from consumption, investing in the financial market, buying life insurance, registering in the social welfare system, the size of his estate in the event of premature death and the size of his fortune at time of retirement if he lives that long. We use dynamic programming techniques to derive a second-order nonlinear partial differential equation whose solution is the maximum objective function. We use special case of discounted constant relative risk aversion utilities to find an explicit solutions for the optimal strategies. Finally, we have shown a numerical solution for the problem under consideration and study some properties for the optimal strategies.

2023

Negative network effects and asymmetric pure price equilibria

Authors
Soeiro, R; Pinto, AA;

Publication
PORTUGUESE ECONOMIC JOURNAL

Abstract
We show that in finite settings with identical firms and consumers, asymmetric pure price equilibria with positive profits exist. We consider a price competition duopoly for a homogeneous product. Demand stems from a second-stage consumption game at posted prices, with consumers' behavior impacted by negative network effects. We characterize equilibrium prices and demand. In all subgame-perfect pure price equilibria, both firms have positive profits, and in some, firms charge different prices.

2023

PREFACE: DYNAMICS, GAMES AND SCIENCE- DGS AND JORNADAS LATINOAMERICANAS DE TEORÍA ECONÔMICA- JOLATE

Authors
Accinelli, E; Hernández Lerma, O; Hervés Beloso, C; Neme, A; Oliveira, BMPM; Pinto, AA; Yannacopoulos, AN;

Publication
JOURNAL OF DYNAMICS AND GAMES

Abstract

Supervised
thesis

2023

Estimação do Parâmetro de Dispersão em Modelos de Contagens

Author
Rui Manuel da Costa Miranda

Institution
UP-FCUP

2023

Time series Forecasting using a Game Theoretical Decision Model with Estimators obtained by Machine Learning Techniques

Author
João Filipe Costa Freitas

Institution
UP-FCUP

2023

Demand forecast in fashion retail

Author
António Miguel Arantes da Silva

Institution
UP-FCUP

2022

Utilização de Reinforcement Learning para otimização de ligações Wi-Fi no contexto de redes voadoras

Author
Gabriella Fernandes Pantaleão

Institution
UP-FEUP

2022

On the Performance Impact of Computational Delays of RL-Based Networking Algorithms through Improved ns-3 Digital Twins

Author
João Paulo Ferreira Pinto

Institution
UP-FEUP