Dynamics, Games and Science I and II are a selection of surveys and research articles written by leading researchers in mathematics. The majority of the contributions are on dynamical systems and game theory, focusing either on fundamental and theoretical developments or on applications to modeling in biology, ecomonics, engineering, finances and psychology.
The papers are based on talks given at the International Conference DYNA 2008, held in honor of Mauricio Peixoto and David Rand at the University of Braga, Portugal, on September 8-12, 2008.
The aim of these volumes is to present cutting-edge research in these areas to encourage graduate students and researchers in mathematics and other fields to develop them further.
Author(s): Mauricio M. Peixoto (auth.), Mauricio Matos Peixoto, Alberto Adrego Pinto, David A. Rand (eds.)
Series: Springer Proceedings in Mathematics 1
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2011
Language: English
Pages: 810
Tags: Dynamical Systems and Ergodic Theory;Game Theory, Economics, Social and Behav. Sciences;Theoretical, Mathematical and Computational Physics;Mathematical Methods in Physics
Front Matter....Pages i-xxxi
A Brief Survey of Focal Decomposition....Pages 1-10
Anosov and Circle Diffeomorphisms....Pages 11-23
Evolutionarily Stable Strategies and Replicator Dynamics in Asymmetric Two-Population Games....Pages 25-35
Poverty Traps, Rationality and Evolution....Pages 37-52
Leadership Model....Pages 53-59
Lorenz-Like Chaotic Attractors Revised....Pages 61-79
A Dynamical Point of View of Quantum Information: Entropy and Pressure....Pages 81-121
Generic Hamiltonian Dynamical Systems: An Overview....Pages 123-137
Microeconomic Model Based on MAS Framework: Modeling an Adaptive Producer....Pages 139-157
A Tourist’s Choice Model....Pages 159-167
Computability and Dynamical Systems....Pages 169-181
Dynamics and Biological Thresholds....Pages 183-191
Global Convergence in Difference Equations....Pages 193-219
Networks Synchronizability, Local Dynamics and Some Graph Invariants....Pages 221-238
Continuous Models for Genetic Evolution in Large Populations....Pages 239-242
Forecasting of Yield Curves Using Local State Space Reconstruction....Pages 243-251
KAM Theory as a Limit of Renormalization....Pages 253-270
An Overview of Optimal Life Insurance Purchase, Consumption and Investment Problems....Pages 271-286
Towards a Theory of Periodic Difference Equations and Its Application to Population Dynamics....Pages 287-321
Thompson’s Group, Teichmüller Spaces, and Dual Riemann Surfaces....Pages 323-338
Bargaining Skills in an Edgeworthian Economy....Pages 339-352
Fractional Analysis of Traffic Dynamics....Pages 353-357
The Set of Planar Orbits of Second Species in the RTBP....Pages 359-363
Statistical Properties of the Maximum for Non-Uniformly Hyperbolic Dynamics....Pages 365-374
Adaptive Learning and Central Bank Inattentiveness in Optimal Monetary Policy....Pages 375-383
Discrete Time, Finite State Space Mean Field Games....Pages 385-389
Simple Exclusion Process: From Randomness to Determinism....Pages 391-403
Universality in PSI20 fluctuations....Pages 405-420
Dynamical Systems with Nontrivially Recurrent Invariant Manifolds....Pages 421-470
Some Recent Results on the Stability of Endomorphisms....Pages 471-485
Differential Rigidity and Applications in One-Dimensional Dynamics....Pages 487-502
Minimum Regret Pricing of Contingent Claims in Incomplete Markets....Pages 503-528
A Class of Infinite Dimensional Replicator Dynamics....Pages 529-532
Kinetic Theory for Chemical Reactions Without a Barrier....Pages 533-543
Dynamical Gene-Environment Networks Under Ellipsoidal Uncertainty: Set-Theoretic Regression Analysis Based on Ellipsoidal OR....Pages 545-571
Strategic Interaction in Macroeconomic Policies: An Outline of a New Differential Game Approach....Pages 573-595
Renormalization of Hénon Maps....Pages 597-618
Application of Fractional Calculus in Engineering....Pages 619-629
Existence of Invariant Circles for Infinitely Renormalisable Area-Preserving Maps....Pages 631-636
The Dynamics of Expectations....Pages 637-649
Dynamics on the Circle....Pages 651-659
Rolling Ball Problems....Pages 661-669
On the Dynamics of Certain Models Describing the HIV Infection....Pages 671-688
Tilings and Bussola for Making Decisions....Pages 689-708
A Hotelling-Type Network....Pages 709-720
The Closing Lemma in Retrospect....Pages 721-741
From Peixoto’s Theorem to Palis’s Conjecture....Pages 743-746
Dynamics Associated to Games (Fictitious Play) with Chaotic Behavior....Pages 747-759
A Finite Time Blowup Result for Quadratic ODE’s....Pages 761-762
Relating Material and Space-Time Metrics Within Relativistic Elasticity: A Dynamical Example....Pages 763-767
Strategic Information Revelation Through Real Options in Investment Games....Pages 769-784
On Consumption Indivisibilities, the Demand for Durables, and Income Distribution....Pages 785-809
