IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2312.00436.html
   My bibliography  Save this paper

Consensus group decision making under model uncertainty with a view towards environmental policy making

Author

Listed:
  • Phoebe Koundouri
  • Georgios I. Papayiannis
  • Electra V. Petracou
  • Athanasios N. Yannacopoulos

Abstract

In this paper we propose a consensus group decision making scheme under model uncertainty consisting of an iterative two-stage procedure and based on the concept of Fr\'echet barycenter. Each step consists of two stages: the agents first update their position in the opinion metric space by a local barycenter characterized by the agents' immediate interactions and then a moderator makes a proposal in terms of a global barycenter, checking for consensus at each step. In cases of large heterogeneous groups the procedure can be complemented by an auxiliary initial homogenization step, consisting of a clustering procedure in opinion space, leading to large homogeneous groups for which the aforementioned procedure will be applied. The scheme is illustrated in examples motivated from environmental economics.

Suggested Citation

  • Phoebe Koundouri & Georgios I. Papayiannis & Electra V. Petracou & Athanasios N. Yannacopoulos, 2023. "Consensus group decision making under model uncertainty with a view towards environmental policy making," Papers 2312.00436, arXiv.org.
  • Handle: RePEc:arx:papers:2312.00436
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2312.00436
    File Function: Latest version
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Christian Gollier & Phoebe Koundouri & Theologos Pantelidis, 2008. "Declining discount rates: Economic justifications and implications for long-run policy [‘Regime switches in interest rates’]," Economic Policy, CEPR, CESifo, Sciences Po;CES;MSH, vol. 23(56), pages 758-795.
    2. Costis Skiadas, 1997. "Conditioning and Aggregation of Preferences," Econometrica, Econometric Society, vol. 65(2), pages 347-368, March.
    3. Hepburn, Cameron & Koundouri, Phoebe & Panopoulou, Ekaterini & Pantelidis, Theologos, 2009. "Social discounting under uncertainty: A cross-country comparison," Journal of Environmental Economics and Management, Elsevier, vol. 57(2), pages 140-150, March.
    4. Jouini, Elyès & Napp, Clotilde, 2014. "How to aggregate experts' discount rates: An equilibrium approach," Economic Modelling, Elsevier, vol. 36(C), pages 235-243.
    5. repec:dau:papers:123456789/11956 is not listed on IDEAS
    6. Marcello Basili & Alain Chateauneuf, 2020. "Aggregation of experts' opinions and conditional consensus opinion by the Steiner point," PSE-Ecole d'économie de Paris (Postprint) hal-03260206, HAL.
    7. E. Savku & G.-W Weber, 2022. "Stochastic differential games for optimal investment problems in a Markov regime-switching jump-diffusion market," Annals of Operations Research, Springer, vol. 312(2), pages 1171-1196, May.
    8. Harjoat S. Bhamra & Raman Uppal, 2014. "Asset Prices with Heterogeneity in Preferences and Beliefs," The Review of Financial Studies, Society for Financial Studies, vol. 27(2), pages 519-580.
    9. Fabio Maccheroni & Massimo Marinacci & Aldo Rustichini, 2006. "Ambiguity Aversion, Robustness, and the Variational Representation of Preferences," Econometrica, Econometric Society, vol. 74(6), pages 1447-1498, November.
    10. Stéphane Zuber, 2011. "The aggregation of preferences: can we ignore the past?," Theory and Decision, Springer, vol. 70(3), pages 367-384, March.
    11. Gajdos, T. & Tallon, J.-M. & Vergnaud, J.-C., 2008. "Representation and aggregation of preferences under uncertainty," Journal of Economic Theory, Elsevier, vol. 141(1), pages 68-99, July.
    12. Phoebe Koundouri & Theologos Pantelidis & Ben Groom & Ekaterini Panopoulou, 2007. "Discounting the distant future: How much does model selection affect the certainty equivalent rate?," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(3), pages 641-656.
    13. Ebert, Sebastian & Wei, Wei & Zhou, Xun Yu, 2020. "Weighted discounting—On group diversity, time-inconsistency, and consequences for investment," Journal of Economic Theory, Elsevier, vol. 189(C).
    14. Asim Paul & Magfura Pervin & Sankar Kumar Roy & Nelson Maculan & Gerhard-Wilhelm Weber, 2022. "A green inventory model with the effect of carbon taxation," Annals of Operations Research, Springer, vol. 309(1), pages 233-248, February.
    15. Martin L. Weitzman, 2007. "A Review of the Stern Review on the Economics of Climate Change," Journal of Economic Literature, American Economic Association, vol. 45(3), pages 703-724, September.
    16. Hepburn, Cameron J. & Koundouri, Phoebe, 2007. "Recent advances in discounting: Implications for forest economics," Journal of Forest Economics, Elsevier, vol. 13(2-3), pages 169-189, August.
    17. Kossioris, G. & Plexousakis, M. & Xepapadeas, A. & de Zeeuw, A. & Mäler, K.-G., 2008. "Feedback Nash equilibria for non-linear differential games in pollution control," Journal of Economic Dynamics and Control, Elsevier, vol. 32(4), pages 1312-1331, April.
    18. Weber, Gerhard-Wilhelm & Defterli, Ozlem & Alparslan Gök, SIrma Zeynep & Kropat, Erik, 2011. "Modeling, inference and optimization of regulatory networks based on time series data," European Journal of Operational Research, Elsevier, vol. 211(1), pages 1-14, May.
    19. Stern,Nicholas, 2007. "The Economics of Climate Change," Cambridge Books, Cambridge University Press, number 9780521700801.
    20. Lisa Steyer & Almond Stöcker & Sonja Greven, 2023. "Elastic analysis of irregularly or sparsely sampled curves," Biometrics, The International Biometric Society, vol. 79(3), pages 2103-2115, September.
    21. Gollier, Christian, 2002. "Discounting an uncertain future," Journal of Public Economics, Elsevier, vol. 85(2), pages 149-166, August.
    22. Donald J. Brown, 1975. "Aggregation of Preferences," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 89(3), pages 456-469.
    23. Geoffrey Heal, 2009. "Climate Economics: A Meta-Review and Some Suggestions for Future Research," Review of Environmental Economics and Policy, Association of Environmental and Resource Economists, vol. 3(1), pages 4-21, Winter.
    24. Li, Yanhong & Kou, Gang & Li, Guangxu & Peng, Yi, 2022. "Consensus reaching process in large-scale group decision making based on bounded confidence and social network," European Journal of Operational Research, Elsevier, vol. 303(2), pages 790-802.
    25. Ben Groom & Cameron Hepburn & Phoebe Koundouri & David Pearce, 2005. "Declining Discount Rates: The Long and the Short of it," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 32(4), pages 445-493, December.
    26. Partha Dasgupta, 2008. "Discounting climate change," Journal of Risk and Uncertainty, Springer, vol. 37(2), pages 141-169, December.
    27. Vincke, Philippe, 1982. "Aggregation of preferences: a review," European Journal of Operational Research, Elsevier, vol. 9(1), pages 17-22, January.
    28. Matthew O. Jackson & Leeat Yariv, 2014. "Present Bias and Collective Dynamic Choice in the Lab," American Economic Review, American Economic Association, vol. 104(12), pages 4184-4204, December.
    29. Christopher P. Chambers & Federico Echenique, 2018. "On Multiple Discount Rates," Econometrica, Econometric Society, vol. 86(4), pages 1325-1346, July.
    30. Ravi Bansal & Amir Yaron, 2004. "Risks for the Long Run: A Potential Resolution of Asset Pricing Puzzles," Journal of Finance, American Finance Association, vol. 59(4), pages 1481-1509, August.
    31. Ayşe Özmen & Yuriy Zinchenko & Gerhard-Wilhelm Weber, 2023. "Robust multivariate adaptive regression splines under cross-polytope uncertainty: an application in a natural gas market," Annals of Operations Research, Springer, vol. 324(1), pages 1337-1367, May.
    32. Kenneth C. Lichtendahl & Yael Grushka-Cockayne & Robert L. Winkler, 2013. "Is It Better to Average Probabilities or Quantiles?," Management Science, INFORMS, vol. 59(7), pages 1594-1611, July.
    33. William D. Nordhaus, 2007. "A Review of the Stern Review on the Economics of Climate Change," Journal of Economic Literature, American Economic Association, vol. 45(3), pages 686-702, September.
    34. Christian Gollier & Richard Zeckhauser, 2005. "Aggregation of Heterogeneous Time Preferences," Journal of Political Economy, University of Chicago Press, vol. 113(4), pages 878-896, August.
    Full references (including those not matched with items on IDEAS)

    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. Freeman, Mark C. & Groom, Ben, 2016. "How certain are we about the certainty-equivalent long term social discount rate?," Journal of Environmental Economics and Management, Elsevier, vol. 79(C), pages 152-168.
    2. Kollenberg, Sascha & Taschini, Luca, 2016. "Emissions trading systems with cap adjustments," Journal of Environmental Economics and Management, Elsevier, vol. 80(C), pages 20-36.
    3. Moritz Drupp & Mark Freeman & Ben Groom & Frikk Nesje, 2015. "Discounting disentangled: an expert survey on the determinants of the long-term social discount rate," GRI Working Papers 196a, Grantham Research Institute on Climate Change and the Environment.
    4. Michael D. Bauer & Glenn D. Rudebusch, 2023. "The Rising Cost of Climate Change: Evidence from the Bond Market," The Review of Economics and Statistics, MIT Press, vol. 105(5), pages 1255-1270, September.
    5. Electra V. Petracou & Anastasios Xepapadeas & Athanasios N. Yannacopoulos, 2022. "Decision Making Under Model Uncertainty: Fréchet–Wasserstein Mean Preferences," Management Science, INFORMS, vol. 68(2), pages 1195-1211, February.
    6. Koen Vermeylen, 2013. "The Consumption Discount Rate for the Distant Future (if we do not die out)," Tinbergen Institute Discussion Papers 13-201/VI, Tinbergen Institute.
    7. Freeman, Mark C., 2009. "Yes, we should discount the far-distant future at its lowest possible rate: a resolution of the Weitzman-Gollier puzzle," Economics Discussion Papers 2009-42, Kiel Institute for the World Economy (IfW Kiel).
    8. Cropper, Maureen, 2012. "How Should Benefits and Costs Be Discounted in an Intergenerational Context?," RFF Working Paper Series dp-12-42, Resources for the Future.
    9. Christian Traeger, 2014. "Why uncertainty matters: discounting under intertemporal risk aversion and ambiguity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(3), pages 627-664, August.
    10. Eric Fesselmeyer & Haoming Liu & Alberto Salvo, 2022. "Declining discount rates in Singapore's market for privately developed apartments," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 37(2), pages 330-350, March.
    11. Hepburn, Cameron & Koundouri, Phoebe & Panopoulou, Ekaterini & Pantelidis, Theologos, 2009. "Social discounting under uncertainty: A cross-country comparison," Journal of Environmental Economics and Management, Elsevier, vol. 57(2), pages 140-150, March.
    12. Geoffrey Heal & Antony Millner, 2013. "Discounting under Disagreement," NBER Working Papers 18999, National Bureau of Economic Research, Inc.
    13. Jouini, Elyès & Marin, Jean-Michel & Napp, Clotilde, 2010. "Discounting and divergence of opinion," Journal of Economic Theory, Elsevier, vol. 145(2), pages 830-859, March.
    14. Fesselmeyer, Eric & Liu, Haoming & Salvo, Alberto, 2016. "How Do Households Discount over Centuries? Evidence from Singapore's Private Housing Market," IZA Discussion Papers 9862, Institute of Labor Economics (IZA).
    15. Birol, Ekin & Koundouri, Phoebe & Kountouris, Yiannis, 2010. "Assessing the economic viability of alternative water resources in water-scarce regions: Combining economic valuation, cost-benefit analysis and discounting," Ecological Economics, Elsevier, vol. 69(4), pages 839-847, February.
    16. Fujii, Tomoki & Karp, Larry, 2008. "Numerical analysis of non-constant pure rate of time preference: A model of climate policy," Journal of Environmental Economics and Management, Elsevier, vol. 56(1), pages 83-101, July.
    17. Therese Grijalva & Jayson Lusk & W. Shaw, 2014. "Discounting the Distant Future: An Experimental Investigation," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 59(1), pages 39-63, September.
    18. Mikhail Pakhnin, 2021. "Collective Choice with Heterogeneous Time Preferences," CESifo Working Paper Series 9141, CESifo.
    19. J. Doyne Farmer & John Geanakoplos & Jaume Masoliver & Miquel Montero & Josep Perello, 2014. "Discounting the Distant Future," Cowles Foundation Discussion Papers 1951, Cowles Foundation for Research in Economics, Yale University.
    20. Fleurbaey, Marc & Zuber, Stéphane, 2015. "Discounting, risk and inequality: A general approach," Journal of Public Economics, Elsevier, vol. 128(C), pages 34-49.

    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:2312.00436. 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: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    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.