Bataille, G. (2024). An explicit solution to harvesting behaviors in a predator-prey system. Natural Resource Modeling, e12408.
Bataille, G. (2026). Managing predator-prey fisheries with prey refuges. Journal of Public Economic Theory, e70098.
Bataille, G., Stahn, H., Tomini, A. (2026). Partial Considerations of a Predator-Prey Ecosystem. Environmental Modeling & Assessment, Forthcoming.
Breaking the Net: The Fragility of Cooperation in Shared Fisheries, with B. Zou.
Abstract : This study investigates the instability of fishery management organizations using a dynamic multistage optimal control model with two heterogeneous countries exploiting shared fishery resources. Motivated by recent cases of coalition breakdowns, we analyze the transition from cooperation to competition, driven by differences in time preferences and the use of fixed sharing rules for joint payoffs. Our findings show that no static sharing rule— even when optimally chosen at the time of coalition formation—can sustain cooperation over time. Despite this instability, we identify the sharing rule that maximizes coalition duration and provide sufficient conditions for the identity of the first existing player. The outcome depends heavily on the initial allocation of payoffs and the degree of heterogeneity in discount rates. Specifically, higher differences in discount rates decrease the overall coalition duration. To address these challenges, we propose a time-dependent sharing mechanism for the coalition's total worth that ensures fairness at every point in time. Under this scheme, no player has an incentive to revise their membership over time.
Keywords : Fisheries, Fishery Management Organizations, Dynamic Games, Multistage Optimal Control.
Capacity constraints and semisingular optimal controls in a predator–prey fishery, with W. Ruan and B. Zou.
Non-smooth strategies of a differential game with multi-species fisheries , with W. Ruan and B. Zou.
Les refuges pour proies : une nouvelle méthode de gestion de la pêche?, The conversation, 2024.