Commentary
Modeling international climate change negotiations more responsibly:
Can highly simplified game theory models provide reliable
policy insights?
Kaveh Madani ⁎
Department of Civil, Environmental, and Construction Engineering, University of Central, Florida, Orlando, FL 32816, USA
abstract article info
Article history:
Received 4 June 2012
Received in revised form 21 February 2013
Accepted 22 February 2013
Available online 2 April 2013
Keywords:
Game theory
Climate change
Non-cooperative
Conflict resolution
Policy
In a recent article in this journal entitled “Game Theory and Climate Diplomacy”, DeCanio and Fremstad (2013)
provide an interesting treatment of a range of simple game theoretic characterizations of international climate
negotiations. The authors use the Nash and Maxi-min stability definitions to analyze 25 two-by-two ordinal
games, which they recognize as “possible game-theoretic characterizations of climate negotiations between
two players (e.g., Great Powers or coalitions of states)”. The authors' main conclusion that the Prisoner's Di-
lemma might not be the best description of climate negotiations game is consistent with the findings of others
who have studied two-by-two conflicts over natural commons (Bardhan, 1993; Madani, 2010; Sandler, 1992;
Taylor, 1987). Nevertheless, given the importance of the climate change issue, as well as the potential effects of
our actions on the state of the environment and the well-being of future generations, I would like to address
some gaps in their analysis, which result in it having limited usefulness for policy purposes. Of course, all
models are simplified representations of reality, full of limitations. “Essentially, all models are wrong, but
some are useful” (Box and Draper, 1987). So, “the practical question is how wrong do they have to be to not
be useful” (Box and Draper, 1987). Models' limitations need to be carefully considered when interpreting
them or applying their results to policy but some models are too simple to provide useful policy advice.
© 2013 Elsevier B.V. All rights reserved.
1. Introduction: Reliability of Simple Game Theory
As an analytical tool, game theory can enhance our understanding
of real-world conflicts and provide valuable suggestions for policy de-
velopment processes (Dietz and Zhao, 2011; Dinar et al., 2008; Finus,
2008; Heitzig et al., 2011; Howard, 2006; Madani, 2011; Wood,
2011). However, considerable simplifying assumptions can limit
the applicability of game theory models to real world applications,
which must be considered when modeling results are used to develop
policies (Madani and Hipel, 2011; Wood, 2011). In my opinion,
prescribing policy actions that can affect the state of nature and the
well-being of billions of people around the globe must not rely on
simple game models that ignore some essential characteristics of
the problem. While simplifications are integral to modeling complex
conflicts, the effects of simplifying assumptions on the modeling
outputs should not be overlooked when interpreting the results.
DeCanio and Fremstad (2013) (DF hereafter) use highly simplistic
models to analyze climate change negotiations. While their analysis
provides some useful insights, in my opinion the models they consider
are too simple to be used in policy advice. This is despite the fact that the
literature on “climate change and game theory” (Aldy et al., 2010;
Asheim et al., 2006; Camerer and Thaler, 2003; Dutta and Radner,
2004, 2009; Finus, 2008; Froyn and Hovi, 2008; Heitzig et al., 2011;
Levy et al., 2009; Pittel and Rübbelke, 2008; Rübbelke, 2011; Rubio
and Ulph, 2006; Walker et al., 2007; Weikard et al., 2010; Wood,
2011) is fairly rich and has improved significantly over the last decade
due to the importance of the climate change topic. Researchers have
adopted game theory approaches that better reflect the reality of
climate change negotiations and can suggest practical resolutions.
In this commentary, I raise some fundamental questions about the
key assumptions of DF's analysis, and briefly discuss alternative assump-
tions and solution methods that could lead to more reliable and realistic
policy insights. While my comments are specifically addressed to DF's
article, they can be generalized to other game theory models of climate
change and natural resources conflicts. Given the limited length of
commentaries, the supporting analysis has been provided as an appen-
dix. Readers interested in the background game theory science and
methods may consult the provided references.
2. Question 1. Are Nash and Maxi-min Solution Concepts Appropriate
for Climate Games?
DF mainly rely on the Nash and Maxi-min solution concepts (stability
definitions) for determining the equilibria (possible outcomes) of
Ecological Economics 90 (2013) 68–76
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E-mail address: kmadani@ucf.edu.
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Ecological Economics
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0921-8009/$ – see front matter © 2013 Elsevier B.V. All rights reserved.
http://dx.doi.org/10.1016/j.ecolecon.2013.02.011