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A stochastic analysis of goods allocation by queuing and the prevention of violence

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  • Batabyal, Amitrajeet
  • Herath, Gamini

Abstract

When demand for a good exceeds its supply, queuing mechanisms are commonly used to allocate the good in question to citizens. However, very long queues result in excessive wait times and this can lead to violence. As such, the purpose of this paper is to analyze two stochastic models of goods allocation with queuing and the possibility of violence. In the first model, there is no capacity constraint. Using this model, we compute the long run delay per citizen in allocating the pertinent good. Next, we discuss the computation of the equilibrium probabilities for our discrete-time Markov chain theoretic model. In the second model, we capture the violence aspect of the underlying story explicitly with a capacity constraint. Then, we compute the long run fraction of citizens who are not provided the relevant good and the long run fraction of time the good allocating public official is busy.

Suggested Citation

  • Batabyal, Amitrajeet & Herath, Gamini, 2010. "A stochastic analysis of goods allocation by queuing and the prevention of violence," MPRA Paper 72169, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:72169
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    1. Pieter Serneels, 2007. "The Nature of Unemployment among Young Men in Urban Ethiopia," Review of Development Economics, Wiley Blackwell, vol. 11(1), pages 170-186, February.
    2. Amitrajeet Batabyal & Peter Nijkamp, 2004. "Favoritism in the Public Provision of Goods in Developing Countries," Economics Bulletin, AccessEcon, vol. 15(1), pages 1-10.
    3. Amitrajeet A. Batabyal & Seung Jick Yoo, 2007. "Corruption, Bribery, and Wait Times in the Public Allocation of Goods in Developing Countries," Review of Development Economics, Wiley Blackwell, vol. 11(3), pages 507-517, August.
    4. Michael J. Pisani & José A. Pagán, 2003. "Sectoral Queuing in a Transitional Economy: The Case of Nicaragua in the 1990s," LABOUR, CEIS, vol. 17(4), pages 571-597, December.
    5. Krishna B. Athreya & Mukul Majumdar, 2005. "A note on closing the windows: Some lessons from queuing theory," International Journal of Economic Theory, The International Society for Economic Theory, vol. 1(1), pages 73-81, March.
    6. Lui, Francis T, 1985. "An Equilibrium Queuing Model of Bribery," Journal of Political Economy, University of Chicago Press, vol. 93(4), pages 760-781, August.
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    Cited by:

    1. Batabyal, Amitrajeet A. & DeAngelo, Gregory J., 2012. "Goods allocation by queuing and the occurrence of violence: A probabilistic analysis," International Review of Economics & Finance, Elsevier, vol. 24(C), pages 1-7.

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    Keywords

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    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • H40 - Public Economics - - Publicly Provided Goods - - - General
    • O12 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Microeconomic Analyses of Economic Development

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