HET in mathematical context: an outline

NOTICE

• DO NOT TRUST THE FOLLOWING

INTRODUCTION

• In my blog post in Nov 2010, I proposed yet another view in HET (history of economic thought) focused on mathematical context rather than contexts of ideology and social value: (in Japanese) http://d.hatena.ne.jp/TuvianNavy/20101102/1288723212
• it is partly motivated from Philip Mirowski's HET works aiming at similar target
• another source of motivation is the long-run controversy about Japan's economical slump over decades and the way out of it
• later I came to be aware of "non-separable" nature of technological knowledge and economic growth path
• parallelism between foundation of monetary theory and quantum gravity is concerned

THEMES TO BE EXAMINED

• Reality and Closed Economic Systems
• Reproduction and Iteration
• Tatonnement: Search for Self-Consistency
• Economy as Propagator, Growth as Scattering
• Utility, as Metric and Topology
• Beyond Finite Dimensions
• Homogeneity, Stability and Conservation of Wealth
• Relativity and Relaxation of Individual Values
• Logic, Knowledge and Intertemporal Substitution
• Economic Potential and Geographical Agglomeration
• Justifing Say's Law: Entropy and Demand

PARTICULAR TOPICS (very incomplete)

• Scarf's effective proof of Edgeworth conjecture
• Uzawa Equivalence
• Okishio's theorem
• Samuelson's non-substitution theorem
• Hicks' stability condition
• Arrow Impossibility
• Barro's Ricardian equivalence
• Instability of global economy / Indefinability of excess demand (SMD theorem)

CONTROVERSIES (still in Japanese)

• 重商主義に対するスミスの批判(会計的等価＝古典経済学における均衡理論)。
• 穀物法論争(リカードのグローバリズム、自由貿易に対するマルサスの批判)。
• 労働価値説(広くは生産費説)に対するオーストリア学派の批判。
• マルクスによる主観価値説への反批判。
• 社会主義計算論争。
• 失業をめぐるピグーとケインズの論争。
• ケンブリッジ資本論争。
• 変動相場制、固定相場制、金本位制
• 構造モデルと誘導モデルの乖離についてのルーカス批判。
• CAPMに対するロルの批判。