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Algebraic Representation of Social Capital Matrix


  • Tariq Shah

    (Pakistan Institute of Development Economics)

  • Syed Akhter Hussain Shah
  • Eatzaz Ahmed


This paper proposes a mathematical model based on a Boolean algebra involving a 44 social capital matrix [Shah (2008)], that emerges through interaction within and across individuals, communities, institutions and state. The framework provides a coding system for the existence or otherwise of various categories of social interaction. The model illustrates that social interaction can be neatly described in a format that facilitates the interpretation of social intra- and interactions among the four types of players in generating economic activity.

Suggested Citation

  • Tariq Shah & Syed Akhter Hussain Shah & Eatzaz Ahmed, 2010. "Algebraic Representation of Social Capital Matrix," Microeconomics Working Papers 22724, East Asian Bureau of Economic Research.
  • Handle: RePEc:eab:microe:22724

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    References listed on IDEAS

    1. Christian Bjornskov, 2003. "The Happy Few: Cross--Country Evidence on Social Capital and Life Satisfaction," Kyklos, Wiley Blackwell, vol. 56(1), pages 3-16, February.
    2. John Harriss & Paolo De Renzio, 1997. "POLICY ARENA: 'Missing link' or analytically missing?: The concept of social capital. Edited by John Harriss. An introductory bibliographic essay," Journal of International Development, John Wiley & Sons, Ltd., pages 919-937.
    3. Syed Akhter Hussain Shah & Mahmood Khalid & tariq shah, 2006. "Convergence Model of Governance: A Case Study of the Local Government System of Pakistan," The Pakistan Development Review, Pakistan Institute of Development Economics, vol. 45(4), pages 855-871.
    4. Emery N. Castle, 2003. "The Social Capital Paradigm: Bridging across Disciplines—An Overview," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 85(5), pages 1208-1210.
    5. Joel Sobel, 2002. "Can We Trust Social Capital?," Journal of Economic Literature, American Economic Association, pages 139-154.
    6. James P. Johnson & M. Audrey Korsgaard & Harry J. Sapienza, 2002. "Abstract," Strategic Management Journal, Wiley Blackwell, vol. 23(12), pages 1141-1160, December.
    7. Dora L. Costa & Matthew E. Kahn, 2003. "Understanding the American Decline in Social Capital, 1952--1998," Kyklos, Wiley Blackwell, vol. 56(1), pages 17-46, February.
    8. Lindon J. Robison & Jan L. Flora, 2003. "The Social Capital Paradigm: Bridging across Disciplines," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 85(5), pages 1187-1193.
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    Cited by:

    1. Shah, Syed Akhter Hussain & Shah, Tariq & Ahmad, Eatzaz, 2011. "Equilibrium in Economic Development A Perspective of Social Capital," MPRA Paper 59294, University Library of Munich, Germany.
    2. Shah, Syed Akhter Hussain & Shah, Tari shah & Ahmed, Eatzaz, 2011. "Top-Down Approach for the Social Capital Development," MPRA Paper 59293, University Library of Munich, Germany.

    More about this item


    Social Capital (Matrix); Linear Space; Interactive Systems; Boolean Algebra;

    JEL classification:

    • A13 - General Economics and Teaching - - General Economics - - - Relation of Economics to Social Values
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation
    • Z13 - Other Special Topics - - Cultural Economics - - - Economic Sociology; Economic Anthropology; Language; Social and Economic Stratification


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