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Dynamical Systems, Game Theory and Mathematical Finances

Members:

PhD's involved: Alberto Pinto, Bruno Oliveira, Helena Ferreira, João Paulo Almeida, José Goveia Martins, Luís Miguel Ferreira, Rui Gonçalves
Collaborators:
PhD students: to be completed

Research Lines:

  1. Dynamical systems: Pseudo-Anosov diffeomorphisms, Explosion of smoothness, Tilings, Geometric measures, Hénon maps
  2. Mathematical Physics: Galileus pendulum
  3. Industrial organization: Oligopoly theory (Country protecting policies, Leadership and uncertainty), R&D strategies (Use of patents, Joint ventures), Mergers in Hotelling Networks, Behavioral Dynamics, Consumer Behaviour and Dynamics
  4. Game theory: Signalling games,
.

Selected Publications:

2015

  • Alvarez-Mozos, M; Ferreira, F; Alonso-Meijide, JM; Pinto, AA; Characterizations of power indices based on null player free winning coalitions, Optimization, Vol. 64 (3) pp. 12, 2015
  • Ferreira, FA; Ferreira, F; Ferreira, M; Pinto, AA; Flexibility in a Stackelberg leadership with differentiated goods, Optimization, Vol. 64 (4), pp. 17, 2015
2014
  • De Carvalho, C; Peixoto, MM; Pinheiro, D; Pinto, AA; An asymptotic universal focal decomposition for non-isochronous potentials, Transactions of the American Mathematical Society, Vol. 366 (4) pp. 37, 2014
  • Alves, JF; Pinheiro, V; Pinto, AA; Explosion of smoothness for conjugacies between multimodal maps, Journal of the London Mathematical Society, Vol. 89 (1) pp. 20, 2014
  • Duarte, I; Pinheiro, D; Pinto, AA; Pliska, SR; Optimal life insurance purchase, consumption and investment on a financial market with multi-dimensional diffusive terms, Optimization, Vol. 63 (11) pp. 24, 2014
  • Rosario, R; Araujo, A; Oliveira, B; et al; Impact of an intervention through teachers to prevent consumption of low nutrition, energy-dense foods and beverages: A randomized trial, PREVENTIVE MEDICINE, Vol. 57 (1) pp. 6, 2013
  • Poínhos, R; Oliveira, BMPM; Correia, F; Eating behaviour patterns and BMI in Portuguese higher education students, Appetite, Vol. 71 pp. 7, 2013
  • De Morais, C; Oliveira, B; Afonso, C; Lumbers, M; Raats, M; De Almeida, MDV; Nutritional risk of European elderly, European Journal of Clinical Nutrition, Vol. 67 (11) pp. 5, 2013
  • Poinhos, R; Canelas, H; Oliveira, BMPM; Correia, F; Development  and Validation of a Food Self-efficacy Scale, Annals of Nutrition and Metabolism, Vol. 63 pp 2, 2013
  • Morais, C; Afonso, C; Oliveira, B; Lumbers, M; Raats, M; Almeida, MDV; HEALTH-RELATED QUALITY OF LIFE AND FOOD VARIETY OF EUROPEAN ELDERLY, ANNALS OF NUTRITION AND METABOLISM, Vol. 63 pp. 1, 2013
  • Pinheiro, D; Pinto, AA; Xanthopoulos, SZ; Yannacopoulos, AN; A projected gradient dynamical system modelling the dynamics of bargaining, JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, Vol. 19 (1) pp. 37, 2013
  • Becker, J; Ferreira, M; Oliveira, BMPM; Pinto, AA; R&D DYNAMICS, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (SUPPL.), pp. 8, 2013
  • Almeida, JP; Fisher, AM; Pinto, AA; Rand, DA; ANOSOV DIFFEOMORPHISMS, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, (SUPPL.) pp. 9, 2013
  • Álvarez-Mozos, M; Ferreira, F; Alonso-Meijide, JM; Pinto, AA; Characterizations of power indices based on null player free winning coalitions, Optimization, 2013
  • Ferreira, FA; Ferreira, F; Ferreira, M; Pinto, AA; Flexibility in a Stackelberg leadership with differentiated goods, Optimization, 2013
2012
  • Pinto, AA; Ferreira, M; Finkenstadt, BF; Oliveira, B; Yannacopoulos, AN; On the convergence to Walrasian prices in random matching Edgeworthian economies, CENTRAL EUROPEAN JOURNAL OF OPERATIONS RESEARCH, Vol. 20 (3) pp. 11, 2012
  • Pinto, AA; Almeida, JP; Portela, A; GOLDEN TILINGS, TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, Vol. 364, (5), pp. 20, 2012
  • Martins, J; Pinto, A; Stollenwerk, N; Stationarity in moment closure and quasi-stationarity of the SIS model, MATHEMATICAL BIOSCIENCES, Vol. 236 (2) pp. 6, 2012
  • Ferreira, M; Figueiredo, IP; Oliveira, BMPM; Pinto, AA; Strategic optimization in R&D investment, OPTIMIZATION, Vol. 61 (8) pp. 11, 2012
  • Sousa, B; Oliveira, BMPM; De Almeida, MDV; Growth trends in boys and girls (10-17 years-old) from autonomous region of Madeira, Portugal between 1996-1998 and 2007-2009, ANNALS OF HUMAN BIOLOGY, Vol. 39 (6) pp. 4, 2012
  • Rosario, R; Oliveira, B; et al; The Impact of an Intervention Taught by Trained Teachers on Childhood Overweight, INTERNATIONAL JOURNAL OF ENVIRONMENTAL RESEARCH AND PUBLIC HEALTH, Vol. 9 (4) pp. 13, 2012
  • Rosário, R; Araújo, A; Oliveira, B; et al; The impact of an intervention taught by trained teachers on childhood fruit and vegetable intake: A randomized trial, Journal of Obesity, Vol. 2012, 2012
  • Aguiar, M; Kooi, BW; Martins, J; Stollenwerk, N; Scaling of Stochasticity in Dengue Hemorrhagic Fever Epidemics, MATHEMATICAL MODELLING OF NATURAL PHENOMENA, Vol. 7 (3) pp. 11, 2012
  • Romao, X; Goncalves, R; Costa, A; Delgado, R; Evaluation of the EC8-3 confidence factors for the characterization of concrete strength in existing structures, MATERIALS AND STRUCTURES, Vol. 45 (11) pp. 22, 2012
  • Romao, X; Goncalves, R; Costa, A; Delgado, R; Erratum: Evaluation of the EC8-3 confidence factors for the characterization of concrete strength in existing structures (Materials and Structures DOI:10.1617/s11527-012-9868-4), Materials and Structures/Materiaux et Constructions, Vol. 45 (11) pp. 1, 2012
2011
  • Alonso-Meijide, JM; Ferreira, F; Alvarez-Mozos, M; Pinto, AA; Two new power indices based on winning coalitions, Journal of Difference Equations and Applications, Vol. 17 (7) pp. 6, 2011
  • Alves, JF; Pinheiro, V; Pinto, AA; Explosion of Smoothness for Conjugacies Between Unimodal Maps, International Conference DYNA 2008, Vol. 2 pp. 5, 2011
  • De Carvalho, CAA; Peixoto, M; Pinheiro, D; Pinto, AA; Focal decomposition, renormalization and semiclassical physics, Journal of Difference Equations and Applications, Vol. 17 (7) pp. 11, 2011
  • Goncalves, R; Ferreira, H; Pinto, AA; Universality in the stock exchange market, Journal of Difference Equations and Applications, Vol. 17 (7) pp. 15, 2011
  • Pinto, AA; Rand, DA; Uniformly hyperbolic diffeomorphisms in every surfaces, Journal of Difference Equations and Applications, Vol. 17 (7) pp. 17, 2011
  • Almeida, L; Cruz, J; Ferreira, H; Pinto, AA; Bayesian-Nash equilibria in theory of planned behavior, Journal of Difference Equations and Applications, Vol. 17 (7) pp.  9, 2011
  • Boukas, L; Pinheiro, D; Pinto, AA; Xanthopoulos, SZ; Yannacopoulos, AN; Behavioural and dynamical scenarios for contingent claims valuation in incomplete markets, Journal of Difference Equations and Applications, Vol. 17 (7) pp. 20, 2011
  • Burroughs, NJ; Oliveira, BMPM; Pinto, AA; Ferreira, M; Immune response Dynamics, Mathematical and Computer Modelling, Vol. 53 (7-8) pp. 10, 2011
  • Burroughs, NJ; Ferreira, M; Oliveira, BMPM; Pinto, AA; Autoimmunity arising from bystander proliferation of T cells in an immune response model, Mathematical and Computer Modelling, Vol. 53 (7-8) pp. 5, 2011
  • Burroughs, NJ; Ferreira, M; Oliveira, BMPM; Pinto, AA; A transcritical bifurcation in an immune response model, Journal of Difference Equations and Applications, Vol. 17 (7) pp. 6, 2011
  • Martins, J; Aguiar, M; Pinto, A; Stollenwerk, N; On the series expansion of the spatial SIS evolution operator, Journal of Difference Equations and Applications, Vol. 17 (7) pp. 12, 2011
  • Goncalves, R; Pinto, AA; A Stochastic Model for Wolf's Sunspot Number, International Conference DYNA 2008, Vol. 2 pp. 9, 2011
  • Pinto, AA; Faias, M; Mousa, AS; Resort Pricing and Bankruptcy, International Conference DYNA 2008, Vol. 2, pp. 7, 2011
  • De Carvalho, CAA; Peixoto, MM; Pinheiro, D; Pinto, AA; Renormalization and Focal Decomposition, International Conference DYNA 2008, Vol. 2, pp. 16, 2011
  • Ferreira, M; Oliveira, BMPM; Pinto, AA; Bankruptcy Boundaries Determined by Patents, International Conference DYNA 2008, Vol. 2 pp. 26, 2011
  • Banik, N; Ferreira, FA; Martins, J; Pinto, AA; An Economical Model For Dumping by Dumping in a Cournot Model, International Conference DYNA 2008, Vol. 2 pp. 13, 2011
  • Alonso-Meijide, JM; Ferreira, F; Alvarez-Mozos, M; Pinto, AA; Power Indices Applied to Portuguese Parliament, International Conference DYNA 2008, Vol. 2 pp. 9, 2011
  • Peixoto, MM; Pinto, AA; Rand, DA; Dynamics, Games and Science II: DYNA 2008, in Honor of Mauricio Peixoto and David Rand, University of Minho, Braga, Portugal, September 8-12, 2008, Springer Proceedings in Mathematics, Vol. 2, 2011
  • Leal, FMD; De Oliveira, BMPM; Rodrigues, SSP; Relationship between cooking habits and skills and Mediterranean diet in a sample of Portuguese adolescents, Perspectives in Public Health, Vol. 131 (6) pp. 5, 2011
  • Pedrosa, C; Oliveira, BMPM; Albuquerque, I; Simoes-Pereira, C; Vaz-De-Almeida, MD; Correia, F; Markers of metabolic syndrome in obese children before and after 1-year lifestyle intervention program, European Journal of Nutrition, Vol. 50 (6) pp. 10, 2011
  • Pedrosa, C; Correia, F; Seabra, D; Oliveira, BMPM; Simoes-Pereira, C; Vaz-De-Almeida, MD; Prevalence of overweight and obesity among 7-9-year-old children in Aveiro, Portugal: comparison between IOTF and CDC references, Public Health Nutrition, Vol. 14 (1) pp. 6, 2011
  • Gaspar, MJM; Amaral, TF; Oliveira, BMPM; Borges, N; Protective effect of physical activity on dissatisfaction with body image in children - A cross-sectional study, Psychology of Sport and Exercise, Vol. 12 (5) pp. 7, 2011
  • Santos, D; Oliveira, B; Rodrigues, S; Almeida, M; Diet quality and household food expenses in Portuguese elderly, Annals of Nutrition and Metabolism, Vol. 58 pp. 2, 2011
  • Pedrosa, C; Oliveira, BMPM; Albuquerque, I; Simoes-Pereira, C; Vaz-De-Almeida, M; Correia, F; Metabolic syndrome, adipokines and ghrelin in overweight and obese schoolchildren: results of a 1-year lifestyle intervention program, European Journal of Pediatrics, Vol. 170 (4) pp. 10, 2011
  • Carvalho, P; Oliveira, B; Barros, R; Padrao, P; Moreira, P; Teixeira, VH; Impact of Fluid Restriction and ad Libitum Water Intake or an 8% Carbohydrate-Electrolyte Beverage on Skill Performance of Elite Adolescent Basketball Players, International Journal of Sport Nutrition and Exercise Metabolism, Vol. 21 (3) pp. 8, 2011
  • De Morais, C; Afonso, C; Oliveira, B; De Almeida, MV; Assessment of weekly food variety of consumption by two different instruments in Portuguese elderly, Annals of Nutrition and Metabolism, Vol. 58 pp. 1, 2011