Dynamic Decision Theory : Applications to Urban and Regional Topics
by Günter Haag
1. Introduction -- 2. A Dynamic Theory of Decision Processes -- 2.1 The Panel Data-Based Discrete Choice Approach -- 2.2 The Master Equation View in Dynamic Choice Processes -- 2.3 The Decision Process -- 2.4 The Equations of Motion -- 2.5 Parameter Estimation -- 2.6 Selection Criteria for the Examples -- 3. Shocks in Urban Evolution -- 3.1 Introduction -- 3.2 A Stochastic Model on Shocks in Urban Evolution -- 4. Intra — Urban Migration -- 4.1 Introduction -- 4.2 A Stochastic Model on Intra-Urban Dynamics -- 5. Inter-Regional Migration -- 5.1 Introduction -- 5.2 The Stochastic Migration Model -- 5.3 Comparative Analysis of Inter-Regional Migration -- 6. Chaotic Evolution of Migratory Systems -- 6.1 Introduction -- 6.2 The Migratory Master Equation and Mean Value Equations for Interacting Populations -- 6.3 Chaotic Behaviour of Migratory Trajectories -- 6.4 Conclusion -- 7. Spatial Interaction Models and their Micro-Foundation -- 7.1 Introduction to Spatial Urban Theory -- 7.2 A Service System as the Basis of the Model -- 7.3 A Master Equation Approach -- 7.4 The Quasi-Deterministic Equations to the Dynamic Service Sector Model -- 7.5 The Stationary Solution of the Service Sector Model -- 7.6 Dynamic Simulations and their Interpretation -- 7.7 Concluding Comments -- 8. Further Applications and Extensions -- 8.1 Knowledge, Innovation, Productivity -- 8.2 Economic Cycles -- 8.3 Housing and Labour Market -- 8.4 Concluding Remarks -- 9. Appendix: The Master Equation -- 9.1 Deterministic and Probabilistic Description of Systems -- 9.2 Some General Concepts of Probability Theory -- 9.3 The Derivation of the Master Equation -- 9.4 The Stationary Solution of the Master Equation for Detailed Balance -- 9.5 The Stationary Solution of the Master Equation of Chapter 4 -- 9.6 The Stationary Solution of the Master Equation of Chapter 5 -- 9.7 The Embedding of Random Utility Theory -- 9.8 The Construction of Configurational Transition Rates via Panel Data -- References.