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Optimal Participation In Illegitimate Market Activities Complete Analysis Of 2 Dimensional Cases

Author

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  • David CARFÌ

    (IAMIS Institute for the Applications of Mathematics and Integrated Sciences Department of Mathematics University of California at Riverside USA)

  • Angelica PINTAUDI

    (University of Messina Italy)

Abstract

In this paper we consider the quantitative decision problem to allocate a certain amount of time upon two possible market activities specifically a legal one and an illegal one The problem was considered in literature by Isaac Ehrlich in his seminal paper Participation in Illegitimate Activities A Theoretical and Empirical Investigation published in The Journal of Political Economy in 1973 The mathematical model we propose and use is essentially a formal mathematical translation of the ideas presented by Ehrlich but on the other hand our approach will allow to apply efficiently and quantitatively the Ehrlich qualitative model We model an Ehrlich decision problem as a pair P f where the function f T Rm is a vector payoff function defined upon a compact m dimensional decision time constrain T and with values into the m dimensional payoff space Rm for some natural number m in our paper m is 2 Finally we apply the Complete Analysis of a Differentiable Decision Problem and part of the Complete Analysis of a Differentiable normal form Game recently introduced in literature by David Carf to examine exhaustively an example of Ehrlich decision problem

Suggested Citation

  • David CARFÌ & Angelica PINTAUDI, 2012. "Optimal Participation In Illegitimate Market Activities Complete Analysis Of 2 Dimensional Cases," Journal of Advanced Research in Law and Economics, ASERS Publishing, vol. 3(1(5)), pages 10-25.
    • Handle: RePEc:srs:jarle0:v:3:y:2012:i:1(5):p:10-25
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    References listed on IDEAS

    as
    1. Ehrlich, Isaac, 1973. "Participation in Illegitimate Activities: A Theoretical and Empirical Investigation," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 521-565, May-June.
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    Cited by:

    1. Carfì, David & Donato, Alessia & Schilirò, Daniele, 2018. "Sustainability of global feeding.Coopetitive interaction among vegan and non-vegan food firms," MPRA Paper 88400, University Library of Munich, Germany.
    2. David CARFI & Caterina FICI, 2012. "The Government-Taxpayer Game," Theoretical and Practical Research in the Economic Fields, ASERS Publishing, vol. 3(1), pages 13-25.
    3. Carfì, David & Donato, Alessia & Schilirò, Daniele, 2018. "An environmentally sustainable global economy. A coopetitive model," MPRA Paper 86718, University Library of Munich, Germany.

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    More about this item

    JEL classification:

    • O17 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Formal and Informal Sectors; Shadow Economy; Institutional Arrangements
    • P37 - Political Economy and Comparative Economic Systems - - Socialist Institutions and Their Transitions - - - Legal
    • K4 - Law and Economics - - Legal Procedure, the Legal System, and Illegal Behavior

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