IDEAS home Printed from https://ideas.repec.org/p/arx/papers/1108.2305.html
   My bibliography  Save this paper

Permit Allocation in Emissions Trading using the Boltzmann Distribution

Author

Listed:
  • Ji-Won Park
  • Chae Un Kim
  • Walter Isard

Abstract

In emissions trading, the initial allocation of permits is an intractable issue because it needs to be essentially fair to the participating countries. There are many ways to distribute a given total amount of emissions permits among countries, but the existing distribution methods, such as auctioning and grandfathering, have been debated. In this paper we describe a new method for allocating permits in emissions trading using the Boltzmann distribution. We introduce the Boltzmann distribution to permit allocation by combining it with concepts in emissions trading. We then demonstrate through empirical data analysis how emissions permits can be allocated in practice among participating countries. The new allocation method using the Boltzmann distribution describes the most probable, natural, and unbiased distribution of emissions permits among multiple countries. Simple and versatile, this new method holds potential for many economic and environmental applications.

Suggested Citation

  • Ji-Won Park & Chae Un Kim & Walter Isard, 2011. "Permit Allocation in Emissions Trading using the Boltzmann Distribution," Papers 1108.2305, arXiv.org, revised Mar 2012.
  • Handle: RePEc:arx:papers:1108.2305
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/1108.2305
    File Function: Latest version
    Download Restriction: no

    References listed on IDEAS

    as
    1. Nurmi, Hannu, 1996. "Fair division: From cake-cutting to dispute resolution : Steven J. Brams and Alan D. Taylor, (Cambridge University Press, Cambridge, 1995) pp. xiv + 272, US$ 54.95 (hardcover), US$ 18.95 (paper)," European Journal of Political Economy, Elsevier, vol. 12(1), pages 169-172, April.
    2. Joseph E. Aldy & Scott Barrett & Robert N. Stavins, 2003. "Thirteen plus one: a comparison of global climate policy architectures," Climate Policy, Taylor & Francis Journals, vol. 3(4), pages 373-397, December.
    3. Cramton, Peter & Kerr, Suzi, 2002. "Tradeable carbon permit auctions: How and why to auction not grandfather," Energy Policy, Elsevier, vol. 30(4), pages 333-345, March.
    4. Invernizzi, Sergio & Medio, Alfredo, 1991. "On lags and chaos in economic dynamic models," Journal of Mathematical Economics, Elsevier, vol. 20(6), pages 521-550.
    5. Montgomery, W. David, 1972. "Markets in licenses and efficient pollution control programs," Journal of Economic Theory, Elsevier, vol. 5(3), pages 395-418, December.
    6. Barbanel, Julius B. & Brams, Steven J., 2004. "Cake division with minimal cuts: envy-free procedures for three persons, four persons, and beyond," Mathematical Social Sciences, Elsevier, vol. 48(3), pages 251-269, November.
    7. Springer, Urs, 2003. "The market for tradable GHG permits under the Kyoto Protocol: a survey of model studies," Energy Economics, Elsevier, vol. 25(5), pages 527-551, September.
    8. Ferrero, Juan C, 2004. "The statistical distribution of money and the rate of money transference," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 341(C), pages 575-585.
    9. Adrian Dragulescu & Victor M. Yakovenko, 2000. "Statistical mechanics of money," Papers cond-mat/0001432, arXiv.org, revised Aug 2000.
    10. Martin Shubik, 2000. "The Theory of Money," Working Papers 00-03-021, Santa Fe Institute.
    11. Theil, Henri & Fiebig, Denzil, 1981. "A maximum entropy approach to the specification of distributed lags," Economics Letters, Elsevier, vol. 7(4), pages 339-342.
    12. Chichilnisky, G. & Heal, G. & Starret, D., 1994. "International Emission Permits: Equity and Efficiency," Papers 94-03, Columbia - Graduate School of Business.
    13. Milliman, Scott R. & Prince, Raymond, 1989. "Firm incentives to promote technological change in pollution control," Journal of Environmental Economics and Management, Elsevier, vol. 17(3), pages 247-265, November.
    14. Victor M. Yakovenko & J. Barkley Rosser, 2009. "Colloquium: Statistical mechanics of money, wealth, and income," Papers 0905.1518, arXiv.org, revised Dec 2009.
    15. Stevens, Brandt & Rose, Adam, 2002. "A Dynamic Analysis of the Marketable Permits Approach to Global Warming Policy: A Comparison of Spatial and Temporal Flexibility," Journal of Environmental Economics and Management, Elsevier, vol. 44(1), pages 45-69, July.
    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. repec:eee:appene:v:204:y:2017:i:c:p:607-619 is not listed on IDEAS
    2. Zhou, P. & Wang, M., 2016. "Carbon dioxide emissions allocation: A review," Ecological Economics, Elsevier, vol. 125(C), pages 47-59.
    3. repec:gam:jsusta:v:9:y:2017:i:7:p:1104-:d:102558 is not listed on IDEAS
    4. Zhang, Yue-Jun & Wang, Ao-Dong & Da, Ya-Bin, 2014. "Regional allocation of carbon emission quotas in China: Evidence from the Shapley value method," Energy Policy, Elsevier, vol. 74(C), pages 454-464.
    5. repec:gam:jsusta:v:9:y:2017:i:11:p:2115-:d:119392 is not listed on IDEAS
    6. Zhengning Pu & Hui Wang & Haili Bian & Jiasha Fu, 2015. "Sustainable Lake Basin Water Resource Governance in China: The Case of Tai Lake," Sustainability, MDPI, Open Access Journal, vol. 7(12), pages 1-13, December.
    7. Xu, Jiuping & Yang, Xin & Tao, Zhimiao, 2015. "A tripartite equilibrium for carbon emission allowance allocation in the power-supply industry," Energy Policy, Elsevier, vol. 82(C), pages 62-80.
    8. repec:gam:jsusta:v:7:y:2015:i:12:p:16422-16434:d:60476 is not listed on IDEAS

    More about this item

    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:arx:papers:1108.2305. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (arXiv administrators). General contact details of provider: http://arxiv.org/ .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.