Abstract
This chapter models international environmental agreements (IEAs) to solve transboundary pollution issues under a game theoretic framework and examines the rules necessary to realize large, stable IEAs. After briefly introducing the concept of game theory, we show that transboundary pollution is an example of the well-known prisoner’s dilemma. Next, we consider IEAs using games with symmetric and asymmetric countries. The results show that IEA itself does not work automatically, that is, it is not sufficient to simply ask for countries’ voluntary participations for an efficient agreement to be stable. Finally, we examine the effects of transfer schemes from so-called supporters as an additional rule. Supporters are the countries that do not abate pollutants themselves but commit to pay transfers to countries who will sign the IEA. Using a framework of coalition formation game, we show that the supporter scheme is effective in promoting cooperative behaviors of the countries and expanding the size of stable IEAs for both symmetric and asymmetric countries. This analysis contributes to our understanding of the effectiveness of the transfer schemes among asymmetric countries since there are few studies which theoretically examine these matters.
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- 1.
Another term, “self-enforcing,” is also frequently used, but we use “stable” in this chapter.
- 2.
Strategies with these properties are called dominant. If all players have dominant strategies, these are also Nash equilibria.
- 3.
Stage 1 of this game has another rational strategy (do not join, do not join). However, the important issue is that (join, join) is part of SPNE; thus, the fact that (do not join, do not join) is also rational does not matter. In fact, this equilibrium is not externally stable (external stability is discussed in the following paragraphs).
- 4.
Note that condition 1 need not be considered if no country joins and, similarly, condition 2 need not be considered if all countries join the agreement.
- 5.
Since incentives to become members are the main concern of this chapter, we assume a country would join the agreement if she is indifferent between joining and not joining.
- 6.
See Barrett (2003, p. 203) for details.
- 7.
[x] denotes the smallest integer, which is greater than or equal to x.
- 8.
- 9.
The model developed here is based on Barrett (2001).
- 10.
- 11.
See Proposition 1 in Carraro and Siniscalco (1993, p. 315).
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Acknowledgements
This research was supported by JSPS KAKENHI, Grant Number 17H01939. We are also grateful to Hsiao-Chi Chen, Keigo Akimoto, Miyuki Nagashima, all researchers involved in the KAKENHI project, and the participants to the World Social Science Forum 2018 in Fukuoka for their valuable comments on our study.
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Li, Q., Fujita, T. (2020). Stabilizing International Environmental Agreements. In: Hori, S., Takamura, Y., Fujita, T., Kanie, N. (eds) International Development and the Environment. Sustainable Development Goals Series. Springer, Singapore. https://doi.org/10.1007/978-981-13-3594-5_8
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