9783540049593 - on a general economic theory of motion (lecture notes in economics and mathematical systems, 36, band 36) von magill, m. j. p. (4 Ergebnisse)
Sprache: Englisch
Verlag: Springer-Verlag (Lecture Notes in Economics and Mathematical Systems) 1st edn 1970, 1970
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - I On the Origin of the Ideas.- 1. Origin in mathematical economics and mathematical physics.- 2. Theory of motion in physics: Galileo, Newton, Euler, Lagrange, Hamilton.- 3. Principle of Statics in economics and mechanics.- 4. Idea of central princip…le of motion for economics.- 5. Present theory differert from that of Samuelson and Hicks.- 6. Ramsey's equations of motion.- 7. Fisher's dynamical theory of valuation.- 8. Duality between allocation and valuation in statics and dynamics.- 9. Relation of present theory to dynamic programming and optimal control theory.- 10. Conclusion.- II On the Objective Function of an Economic System.- 11. Importance of general theory of motion.- 12. Influence of uncertainty on motion: first condition.- 13. Concept of economic system.- 14. Objective function and constraints: second condition.- 15. Euler's method eliminates the constraints.- 16. First example, motion of corporation.- 17. Second example, motion of aggregate economy.- III On the Principle of Stationary Present Value.- 18. Basic motive underlying motion is summarised in Axiom of Rational Choice: third condition.- 19. The basic Principle of Motion is the Principle of Stationary Present Value.- 20. Pure Allocation Equations of motion.- 21. Convexity condition.- 22. Example, equations of motion of corporation.- 23. Economic, interpretation.- 24. Example, equations of motion of aggregate economy.- 25. Relation of present theory to analytical mechanics; Principle of Stationary Action, Lagrange's equations of motion.- IV On the Duality of Motion: Allocation and Valuation.- 26. Fisher's dynamical theory of valuation: the Valuation Principle.- 27. The Maximum Principle and the Dual Equations of motion.- 28. Geometric interpretation of dual theory.-29. Example of geometric interpretation.- 30. The Principal Function, the Present Value Function and the fundamental valuation equation.- 31. Example, dual theory for corporation.- 32. Example, dual theory for aggregate economy.- 33. Relation of dual theory to canonical theory of motion in analytical mechanics: the canonical equations, the Action Function, and Hamilton-Jacobi equation.- V On the Possibility of Wave Motion.- 34. Present Value surfaces propagate according to Huygens Principle.- 35. Huygens Principle and duality.- 36. Wave phenomena in optics and mechanics lead to wave optics and quantum mechanics.- 37. Parallel between geometrical optics, classical mechanics and economic theory of motion suggests transition to wave theory of motion: the fundamental relations.- 38. Derivation of wave equation for economic system.- 39. Interpretation of square of wave function as probability function on co-ordinate space: the emergence of uncertainty.- 40. Principle of Stationary Present Value derived from wave theory in small wavelength limit.
