We analyze the integration of intermittent renewables-based technologies into an electricity mix comprising of conventional energy. Intermittency is modeled by a contingent electricity market and we introduce demand-side flexibility through the retailing structure. Retailers propose diversified electricity contracts at different prices, but in an insufficient number to cover intermittent production. These delivery contracts are modeled similarly to numeraire assets. We study the competitive equilibrium of the state-contingent wholesale electricity markets and the delivery contract markets. We also provide an analysis linking the delivery contracts to social welfare. Finally, we discuss the conditions under which changing the delivery contracts improve penetration of renewables and increases welfare. These provide useful insights for managing intermittency and achieving renewable capacity objectives.

This paper explores the main differences between the Shapley values of a set of taxa introduced by Haake et al. (J Math Biol 56:479–497, 2007. https://doi.org/10.1007/s00285-007-0126-2) and Fuchs and Jin (J Math Biol 71:1133–1147, 2015. https://doi.org/10.1007/s00285-014-0853-0), the latter having been found identical to the Fair Proportion index (Redding and Mooers in Conserv Biol 20:1670–1678, 2006. https://doi.org/10.1111/j.1523-1739.2006.00555.x). In line with Shapley (in: Kuhn, Tucker (eds) Contributions to to the theory of games, volume II, annals of mathematics studies 28, Princeton University Press, Princeton, 1953), we identify the cooperative game basis for each of these two classes of phylogenetic games and use them (i) to construct simple formulas for these two Shapley values and (ii) to compare these different approaches. Using the set of weights of a phylogenetic tree as a parameter space, we then discuss the conditions under which these two values coincide and, if they are not the same, revisit Hartmann’s (J Math Biol 67:1163–1170, 2013. https://doi.org/10.1007/s00285-012-0585-y) convergence result. An example illustrates our main argument. Finally, we compare the species ranking induced by these two values. Considering the Kendall and the Spearman rank correlation coefficient, simulations show that these rankings are strongly correlated. These results are consistent with Wicke and Fischer (J Theor Biol 430:207–214, 2017. https://doi.org/10.1016/j.jtbi.2017.07.010), who reach similar conclusions with a different simulation method.

In this article, the authors introduce a polluting eco-industry. Depending on the level of damage, there are two optimal equilibria. If the damage is low, one generalizes the usual results of the economic literature to the polluting eco-industry: the dirty firm partially abates their emissions, only efficient eco-industry firms produce and the abatement level increases with the damage. However, very specific results are obtained if the damage is high. In this case, not all efficient eco-industry firms produce. The abatement level and the number of active eco-industry firms both decrease as the damage increases. The authors finally show that a well-designed Pigouvian tax implements these equilibria in a competitive economy.

Rainwater harvesting, consisting in collecting runoff from precipitation, has been widely developed to stop groundwater declines and even raise water tables. However, this expected environmental effect is not self-evident. We show in a simple setting that the success of this conjunctive use depends on whether the runoff rate is above a threshold value. Moreover, the bigger the storage capacity, the higher the runoff rate must be to obtain an environmentally efficient system. We also extend the model to include other hydrological parameters and ecological damages, which respectively increase and decrease the environmental efficiency of rainwater harvesting.