IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/37822.html
   My bibliography  Save this paper

Optimal participation in illegitimate market activities: complete analysis of 2-dimensional cases

Author

Listed:
  • Carfì, David
  • Pintaudi, Angelica

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: this 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) and the mathematical model we propose and use is essentially a formal mathematical translation of the ideas presented by him. On the other hand, our approach will allow to apply efficiently and quantitatively the Ehrlich qualitative model. Specifically, in this original paper, we apply the Complete Pareto Analysis of a differentiable decision problem, recently introduced in literature by David Carfì, to examine exhaustively the above Ehrlich-kind decision problem. An Ehrlich-kind decision problem is given by a pair P = (f, >), where the function f : T → E is a vector payoff function defined upon a compact m-dimensional decision (time) constrain T and with values into the m-dimensional payoff space E, for some natural number m (in our paper m is 2). So, the principal aim of this paper is to show how Carfì's Pareto Analysis can help to face, quantitatively, the decision problems of the Ehrlich-type in some practical cases; also, the computational aspects were not considered by Ehrlich. Our methodologies and approaches permit (in principle), by giving a total quantitative view of the possible payoff space of Ehrlich-decision problems (and consequently, giving a precise optimal solutions for the decision- maker), to perform quantitative econometric verifications, in order to test the payoff functions chosen in the various Ehrlich models. In particular, we apply our mathematical methodology to determine the topological boundary of the payoff space of a decision problem, for finding optimal strategies in the participation in such legal and illegitimate market activities. The theoretical framework is clarified and applied by an example.

Suggested Citation

  • Carfì, David & Pintaudi, Angelica, 2012. "Optimal participation in illegitimate market activities: complete analysis of 2-dimensional cases," MPRA Paper 37822, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:37822
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/37822/1/MPRA_paper_37822.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    Other versions of this item:

    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Carfì, David & Donato, Alessia & Schilirò, Daniele, 2018. "An environmentally sustainable global economy. A coopetitive model," MPRA Paper 86718, 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. "Sustainability of global feeding.Coopetitive interaction among vegan and non-vegan food firms," MPRA Paper 88400, University Library of Munich, Germany.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. van Ours, Jan C. & Williams, Jenny & Ward, Shannon, 2015. "Bad Behavior: Delinquency, Arrest and Early School Leaving," CEPR Discussion Papers 10755, C.E.P.R. Discussion Papers.
    2. Khalil, Umair, 2017. "Do more guns lead to more crime? Understanding the role of illegal firearms," Journal of Economic Behavior & Organization, Elsevier, vol. 133(C), pages 342-361.
    3. M. Martin Boyer, 2007. "Resistance (to Fraud) Is Futile," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 74(2), pages 461-492, June.
    4. Claudio A. Agostini & Philip H. Brown, 2010. "Local Distributional Effects Of Government Cash Transfers In Chile," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 56(2), pages 366-388, June.
    5. Kerri Brick & Martine Visser & Justine Burns, 2012. "Risk Aversion: Experimental Evidence from South African Fishing Communities," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 94(1), pages 133-152.
    6. Entorf, Horst & Spengler, Hannes, 2000. "Socioeconomic and demographic factors of crime in Germany: Evidence from panel data of the German states," International Review of Law and Economics, Elsevier, vol. 20(1), pages 75-106, March.
    7. Tom Kirchmaier & Stephen Machin & Matteo Sandi & Robert Witt, 2020. "Prices, Policing and Policy: The Dynamics of Crime Booms and Busts," Journal of the European Economic Association, European Economic Association, vol. 18(2), pages 1040-1077.
    8. Imrohoroglu, Ayse & Merlo, Antonio & Rupert, Peter, 2000. "On the Political Economy of Income Redistribution and Crime," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 41(1), pages 1-25, February.
    9. Jack Hirshleifer & Eric Rasmusen, 1992. "Are Equilibrium Strategies Unaffected by Incentives?," Journal of Theoretical Politics, , vol. 4(3), pages 353-367, July.
    10. Takuma Kunieda & Masashi Takahashi, 2022. "Inequality and institutional quality in a growth model," Evolutionary and Institutional Economics Review, Springer, vol. 19(1), pages 189-213, April.
    11. Milo Bianchi & Paolo Buonanno & Paolo Pinotti, 2012. "Do Immigrants Cause Crime?," Journal of the European Economic Association, European Economic Association, vol. 10(6), pages 1318-1347, December.
    12. Alan B. Krueger, 2002. "Inequality, Too Much of a Good Thing," Working Papers 845, Princeton University, Department of Economics, Industrial Relations Section..
    13. Galiani, Sebastian & Jaitman, Laura & Weinschelbaum, Federico, 2020. "Crime and durable goods," Journal of Economic Behavior & Organization, Elsevier, vol. 173(C), pages 146-163.
    14. Alejandro Gaviria & Carlos Medina & Jorge Tamayo, 2010. "Assessing the Link between Adolescent Fertility and Urban Crime," Borradores de Economia 6860, Banco de la Republica.
    15. Nouman Khaliq & Muhammad Shabbir & Zahira Batool, 2019. "Exploring the Influence of Unemployment on Criminal Behavior in Punjab, Pakistan," Global Regional Review, Humanity Only, vol. 4(1), pages 402-409, March.
    16. Entorf, H. & Winker, P., 2008. "Investigating the drugs-crime channel in economics of crime models: Empirical evidence from panel data of the German States," International Review of Law and Economics, Elsevier, vol. 28(1), pages 8-22, March.
    17. Fernandez, Carmen & Ley, Eduardo & Steel, Mark F. J., 2001. "Benchmark priors for Bayesian model averaging," Journal of Econometrics, Elsevier, vol. 100(2), pages 381-427, February.
    18. Baomin Dong & Peter H Egger & Yibei Guo, 2020. "Is poverty the mother of crime? Evidence from homicide rates in China," PLOS ONE, Public Library of Science, vol. 15(5), pages 1-22, May.
    19. Paolo Buonanno & Leone Leonida, 2006. "Education and crime: evidence from Italian regions," Applied Economics Letters, Taylor & Francis Journals, vol. 13(11), pages 709-713.
    20. Blesse, Sebastian & Diegmann, André, 2022. "The place-based effects of police stations on crime: Evidence from station closures," Journal of Public Economics, Elsevier, vol. 207(C).

    More about this item

    Keywords

    Quantitative decision problem; allocation of time; legal and illegal activities;
    All these keywords.

    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

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:pra:mprapa:37822. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.