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A Fixed-Point Theory of Price Level Determination in General Equilibrium

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Abstract

This paper offers a fi xed-point approach to the issue of price level determination in general equilibrium. It arrives at a solution method for rational expectations models with missing initial conditions for financial wealth. The paper emphasizes the calculation of an equilibrium initial valuation for government debt via a Krasnoselski-Mann-Bailey theorem. The analysis is performed from a global analysis perspective. Abstracting from policies that bring about zero eigen-values permits us to draw conclusions about global dynamics. This approach builds on the Hartman-Grobman Theorem and implies no loss of generality.

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  • Gliksberg, Baruch, "undated". "A Fixed-Point Theory of Price Level Determination in General Equilibrium," Working Papers WP2014/3, University of Haifa, Department of Economics.
    • Handle: RePEc:haf:huedwp:wp201403
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    More about this item

    Keywords

    Boundary Value Problems; Distorting Taxes; General Equilibrium; Global Determinacy; Krasnoselski-Mann-Bailey theorem;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C68 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computable General Equilibrium Models
    • E60 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - General
    • H30 - Public Economics - - Fiscal Policies and Behavior of Economic Agents - - - General
    • H60 - Public Economics - - National Budget, Deficit, and Debt - - - General

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