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On local relative stability of large sistems with small parameters. The example of a classical model of competition

Author

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  • Luciano Boggio

Abstract

Scopo principale di questo lavoro è di mostrare come si possono studiare sistemi dinamici di grandi dimensioni con variabili poste in termini relativi, nei quali la presenza di parametri piccoli fa sì che la norma di certi blocchi di colonne (o di righe) tenda a zero con essi. Per raggiungere questo obbiettivo, viene utilizzato un esempio specifico, cioè un modello di concorrenza d'ispirazione classica conn beni. In questo modello i capitali si muovono dagli impieghi a bassa remunerazione a quelli ad alta remunerazione, mentre nella determinazione dei prezzi il principio del costo pieno gioca il ruolo principale, lasciando agli eccessi di domanda soltanto un ruolo secondario. Si dimostra che per questo modello trasformato in termini di variabili relative, se il parametro che esprime il ruolo degli eccessi di domanda è abbastanza piccolo, il vettore d'equilibrio (che è unico) è asintoticamente stabile. Copyright Associazione per la Matematica Applicata alle Scienze Economiche e Sociali (AMASES) 1999

Suggested Citation

  • Luciano Boggio, 1999. "On local relative stability of large sistems with small parameters. The example of a classical model of competition," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 22(1), pages 13-30, March.
    • Handle: RePEc:spr:decfin:v:22:y:1999:i:1:p:13-30
    DOI: 10.1007/BF02912348
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    References listed on IDEAS

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    1. Luciano Boggio, 1993. "On local relative stability. With special reference to economic applications," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 16(1), pages 3-15, March.
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    More about this item

    Keywords

    relative stability; decoupling; production prices; classical competitive process; D4; D46; D50; E11;
    All these keywords.

    JEL classification:

    • D4 - Microeconomics - - Market Structure, Pricing, and Design
    • D46 - Microeconomics - - Market Structure, Pricing, and Design - - - Value Theory
    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
    • E11 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Marxian; Sraffian; Kaleckian

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