We consider a framework à la Wirl (1994) where political liberalization is the outcome of a lobbying differential game between a conservative elite and a reformist group, the former player pushing against political liberalization in opposition to the latter. In contrast to the benchmark model, we introduce uncertainty. We consider the typical case of an Arab oil exporter country where oil rents are fiercely controlled by the conservative elite. We assume that the higher the oil rents, the more reluctant to political liberalization the elite is. Two states of nature are considered (high vs low resource rents). We then compute the Market-perfect equilibria of the corresponding piecewise deterministic differential game. It is shown that introducing uncertainty in this manner increases the set of strategies compared to Wirl's original setting. In particular, it is shown that the cost of lobbying might be significantly increased under uncertainty with respect to the benchmark. This ultimately highlights some specificities of the political liberalization at stake in Arab countries and the associated risks.
