by M. G. Benthall (Author)
This book establishes a saturating consumption function by non-linear regression reducing residual error by over 85%. From this, equations for the demand functions in competitive, speculative and Giffen-good markets were derived and substitution was re-examined. Equations for indifference curves and equilibrium equations of increasing complexity in all combinations of these markets were thence deduced. Equilibrium solutions were found to be unique by fairly straightforward mathematics whenever one of the goods was a competitive good. What is thought to be a new mathematical technique referred to as 'Quasi Analytical Approximation' was developed to demonstrate uniqueness in other cases. From this matrix equations for general equilibrium for all combinations of markets including monopoly and oligopoly markets were derived and solved. The book also explores the implications of the new theory for consumer choice, money, borrowing and welfare economics.