Coalition Formation under Uncertainty: The Stability Likelihood of an International Climate Agreement

Results derived from empirical analyses on the stability of climate coalitions are usually very sensitive to the large uncertainties associated with the benefits and costs of climate policies. This paper provides the methodology of Stability Likelihood that links uncertainty about benefits and costs of climate change to the stability analysis of coalitions in a stochastic, empirical setting. We show that the concept of Stability Likelihood improves upon the robustness and interpretation of stability analysis. Our numerical application is based on a modified version of the climate model STACO. It turns out that the only non-trivial coalition structure with a relatively high Stability Likelihood (around 25 percent) is a coalition between the European Union and Japan, though quantitative results depend especially on the variance in regional benefits from abatement.Climate change, Coalition formation, International environmental agreements, Uncertainty

Estimation method of multivariate exponential probabilities based on a simplex coordinates transform

A novel unbiased estimator for estimating the probability mass of a multivariate exponential distribution over a measurable set is introduced and is called the Exponential Simplex (ES) estimator. For any measurable set, the standard error of the ES-estimator is at most the standard error of the well known Monte Carlo (MC) estimator. For non-radially shaped measurable sets, the ES-estimator has a strictly smaller standard error than the MC-estimator. For ray-convex sets, such as convex sets, the ES-estimator can be expressed in a simple analytical form

On the Computation of Stability in Multiple Coalition Formation Games

In non-cooperative models of coalition formation, players have to decide whether or not to participate in a coalition (alliance). Game theoretic analyses of the formation of alliances in games with externalities, stress the difficulties in designing self-enforcing treaties because of free-riding. The presence of a strong free-rider incentive prevents most alliances of being stable and/or effective. This paper focuses on computing stability in a game on multiple coalition formation with membership rules and different transfer schemes. A new mathematical programming notation for game theory concepts is outlined. To compute stability, the new notation is used for implementation into computer coding. Implementation and computation aspects are discussed. Numerical illustration of the algorithm shows that stability varies with the applied membership rules and transfer schemes. An application of coalition formation to International Environmental Agreements (lEAs) is provided. Copyright Springer Science+Business Media, Inc. 2006Environment, Game theory, Coalition formation, Stability, Implementation,

The Stability Likelihood of an International Climate Agreement

Results derived from empirical analyses on the stability of climate coalitions are usually very sensitive to the large uncertainties associated with the benefits and costs of climate policies. This paper provides the methodology of Stability Likelihood (SL) that links uncertainties about benefits and costs of climate change to the stability of coalitions. We show that the concept of SL improves upon the robustness and interpretation of stability analyses. Moreover, our numerical application qualifies conclusions from a recent strand of literature based on stylised models with ex-ante symmetric players that learning has a negative impact on the success of coalition formation in context of uncertainty

The stability likelihood of an international climate agreement

Results derived from empirical analyses on the stability of climate coalitions are usually very sensitive to the large uncertainties associated with the benefits and costs of climate policies. This paper provides the methodology of Stability Likelihood (SL) that links uncertainties about benefits and costs of climate change to the stability of coalitions. We show that the concept of SL improves upon the robustness and interpretation of stability analyses. Moreover, our numerical application qualifies conclusions from a recent strand of literature based on stylised models with ex-ante symmetric players that learning has a negative impact on the success of coalition formation in context of uncertainty