Differential Game Theoretic Models for Designing Water Conservation Incentives

References

• Barrio I, Romero E, Belanche L (2009) An experimental study on methods for the selection of basis functions in regression. Neurocomputing 72(13–15):2952–2963.Crossref, Google Scholar
• Biancardi M, Iannucci G, Villani G (2022) Groundwater exploitation and illegal behaviors in a differential game. Dynam. Games Appl. 12(3):996–1009.Crossref, Google Scholar
• Boschma R, Mes M, de Vries L (2023) Approximate dynamic programming for container stacking. Eur. J. Oper. Res. 310(1):328–342.Crossref, Google Scholar
• Brucks WM, Reips UD, Ryf B (2007) Group norms, physical distance, and ecological efficiency in common pool resource management. Soc. Influence 2(2):112–135.Crossref, Google Scholar
• Chavez J, Zamora-Mendez A, Paternina M, Heredia J, Cardenas-Javier R (2019) A hybrid optimization framework for the non-convex economic dispatch problem via meta-heuristic algorithms. Electric Power Systems Res. 177:105999.Crossref, Google Scholar
• Chen Z, Cheung K (2021) Deal or no deal on water-saving program? Exploring the optimal interval for government subsidies and internal incentives. Water Environ. Res. 93(2):274–305.Crossref, Google Scholar
• Chen Y, Zhang J, Chen M, Zhu F, Song T (2023) Optimizing water conservation and utilization with a regulated deficit irrigation strategy in woody crops: A review. Agricultural Water Management 289:108523.Crossref, Google Scholar
• Chen Z, Meng Q, Wang H, Xu R, Yi Y, Zhang Y (2021) Dynamic optimal control differential game of ecological compensation for multipollutant transboundary pollution. Complexity 2021:1–15.Crossref, Google Scholar
• Cosgrove W, Loucks D (2015) Water management: Current and future challenges and research directions. Water Resources Res. 51(6):4823–4839.Crossref, Google Scholar
• Cuthbert M, Taylor R, Favreau G, Todd M, Shamsudduha M, Villholth K, MacDonald A, et al. (2019) Observed controls on resilience of groundwater to climate variability in sub-Saharan Africa. Nature 572(7768):230–234.Crossref, Google Scholar
• Danilova M, Dvurechensky P, Gasnikov A, Gorbunov E, Guminov S, Kamzolov D, Shibaev I (2022) Recent theoretical advances in non-convex optimization. Nikeghbali A, Pardalos PM, Raigorodskii AM, Rassias MT, eds. High-Dimensional Optimization and Probability: With a View Toward Data Science (Springer International Publishing, Cham, Switzerland), 79–163.Crossref, Google Scholar
• Day F (2011) Energy-Smart Food for People and Climate (FAO, Rome).Google Scholar
• Despotović J, Rodić V, Caracciolo F (2021) Farmers’ environmental awareness: Construct development, measurement, and use. J. Cleaner Production 295:126378.Crossref, Google Scholar
• Di D, Wu Z, Wang H, Lv C (2020) A double-layer dynamic differential game model for the optimal trading quantity of water and price setting in water rights transactions. Water Resources Management 34:245–262.Crossref, Google Scholar
• Galán-Martín Á, Vaskan P, Antón A, Esteller LJ, Guillén-Gosálbez G (2017) Multi-objective optimization of rainfed and irrigated agricultural areas considering production and environmental criteria: A case study of wheat production in Spain. J. Cleaner Production 140:816–830.Crossref, Google Scholar
• Garrone P, Grilli L, Marzano R (2020) Incentives to water conservation under scarcity: Comparing price and reward effects through stated preferences. J. Cleaner Production 244:118632.Crossref, Google Scholar
• Giannoccaro G, Roselli L, Sardaro R, de Gennaro B (2022) Design of an incentive-based tool for effective water saving policy in agriculture. Agricultural Water Management 272:107866.Crossref, Google Scholar
• Grosset L, Viscolani B (2016) Age-structured linear-state differential games. Eur. J. Oper. Res. 254(1):269–278.Crossref, Google Scholar
• Hansen KA, Ibsen-Jensen R, Miltersen PB (2014) The complexity of solving reachability games using value and strategy iteration. Theory Comput. Systems 55(2):380–403.Crossref, Google Scholar
• Hasan M, Driessen P, Zoomers A, Van Laerhoven F (2020) How can NGOs support collective action among the users of rural drinking water systems? A case study of managed aquifer recharge (MAR) systems in Bangladesh. World Development 126:104710.Crossref, Google Scholar
• Heydar M, Mardaneh E, Loxton R (2022) Approximate dynamic programming for an energy-efficient parallel machine scheduling problem. Eur. J. Oper. Res. 302(1):363–380.Crossref, Google Scholar
• Heydari A, Balakrishnan SN (2014) Global optimality of approximate dynamic programming and its use in non-convex function minimization. Appl. Soft Comput. 24:291–303.Crossref, Google Scholar
• Holmstrom B, Milgrom P (1987) Aggregation and linearity in the provision of intertemporal incentives. Econometrica 55(2):303–328.Crossref, Google Scholar
• Huang Z, Yuan X, Liu X (2021) The key drivers for the changes in global water scarcity: Water withdrawal vs. water availability. J. Hydrology 601:126658.Crossref, Google Scholar
• Jiang B, Lin T, Ma S, Zhang S (2019a) Structured nonconvex and nonsmooth optimization: Algorithms and iteration complexity analysis. Comput. Optim. Appl. 72(1):115–157.Crossref, Google Scholar
• Jiang K, You D, Li Z, Shi S (2019c) A differential game approach to dynamic optimal control strategies for watershed pollution across regional boundaries under eco-compensation criterion. Ecological Indicators 105:229–241.Crossref, Google Scholar
• Jiang K, Merrill R, You D, Pan P, Li Z (2019b) Optimal control for transboundary pollution under ecological compensation: A stochastic differential game approach. J. Cleaner Production. 241:118391.Crossref, Google Scholar
• Jongen HT, Möbert T, Tammer K (1986) On iterated minimization in nonconvex optimization. Math. Oper. Res. 11(4):679–691.Link, Google Scholar
• Jørgensen S, Zaccour G (2001) Incentive equilibrium strategies and welfare allocation in a dynamic game of pollution control. Automatica J. IFAC 37(1):29–36.Crossref, Google Scholar
• Kamble V, Loiseau P, Walrand J (2024) An approximate dynamic programming approach to repeated games with vector losses. Oper. Res. 72(1):373–388.Link, Google Scholar
• Kicsiny R, Varga Z (2019) Differential game model with discretized solution for the use of limited water resources. J. Hydrology 569:637–646.Crossref, Google Scholar
• Kohn R, Smith M, Chan D (2001) Nonparametric regression using linear combinations of basis functions. Statist. Comput. 11:313–322.Crossref, Google Scholar
• Kong W, Melo JG, Monteiro RD (2023) Iteration complexity of a proximal augmented Lagrangian method for solving nonconvex composite optimization problems with nonlinear convex constraints. Math. Oper. Res. 48(2):1066–1094.Link, Google Scholar
• Laumer S, Barz C (2023) Reductions of non-separable approximate linear programs for network revenue management. Eur. J. Oper. Res. 309(1):252–270.Crossref, Google Scholar
• Li H, Tan D (2024) How to control waste incineration pollution? Cost-sharing or penalty mechanism—Based on two differential game models. Decision Anal. 21(2):91–109.Link, Google Scholar
• Li H, Lv L, Zuo J, Su L, Wang L, Yuan C (2020) Dynamic reputation incentive mechanism for urban water environment treatment PPP projects. J. Construction Engrg. Management 146(8):04020088.Crossref, Google Scholar
• Liu A, Lau VK, Kananian B (2019) Stochastic successive convex approximation for non-convex constrained stochastic optimization. IEEE Trans. Signal Processing 67(16):4189–4203.Crossref, Google Scholar
• Liu M, Wan Y, Lewis FL, Lopez VG (2020) Adaptive optimal control for stochastic multiplayer differential games using on-policy and off-policy reinforcement learning. IEEE Trans. Neural Networks Learn. Systems 31(12):5522–5533.Crossref, Google Scholar
• Liu J, Xiao L, Wang J, Wang C (2022) Payments for environmental services strategy for transboundary air pollution: A stochastic differential game perspective. Sci. Total Environ. 852:158286.Crossref, Google Scholar
• Liu J, Yang H, Gosling SN, Kummu M, Flörke M, Pfister S, Hanasaki N, et al. (2017) Water scarcity assessments in the past, present, and future. Earths Future 5(6):545–559.Crossref, Google Scholar
• Lu S, Tsaknakis I, Hong M, Chen Y (2020) Hybrid block successive approximation for one-sided non-convex min. J. Optim. Theory Appl. 185(1):199–225.Google Scholar
• Ma W, Li X (2023) Impact of government subsidy on the optimal strategies of improving water use efficiency for a high-water-consumption manufacturer. Kybernetes 52(6):2092–2117.Crossref, Google Scholar
• Ma T, Sun S, Fu G, Hall JW, Ni Y, He L, Yi J, et al. (2020) Pollution exacerbates China’s water scarcity and its regional inequality. Nat. Commun. 11(1):650.Crossref, Google Scholar
• Martín-Herrán G, Rubio SJ (2021) On coincidence of feedback and global Stackelberg equilibria in a class of differential games. Eur. J. Oper. Res. 293(2):761–772.Crossref, Google Scholar
• Martín-Herrán G, Cartigny P, Motte E, Tidball M (2006) Deforestation and foreign transfers: A Stackelberg differential game approach. Comput. Oper. Res. 33(2):386–400.Crossref, Google Scholar
• McCormick J (2023) The role of environmental NGOs in international regimes. Vig NJ, Axelrod RS, eds. The Global Environment: Institutions, Law, and Policy (Routledge, Abingdon, UK), 52–71.Crossref, Google Scholar
• Meyer MA, Vickers J (1997) Performance comparisons and dynamic incentives. J. Political Econom. 105(3):547–581.Crossref, Google Scholar
• Mills M, Bode M, Mascia MB, Weeks R, Gelcich S, Dudley N, Govan H, et al. (2019) How conservation initiatives go to scale. Nat. Sustainability 2(10):935–940.Crossref, Google Scholar
• Misra R, Wisniewski R, Kallesøe CS (2022) Approximating solution of stochastic differential games for distributed control of a water network. IFAC-PapersOnLine 55(16):110–115.Crossref, Google Scholar
• Mokhtari A, Koppel A, Scutari G, Ribeiro A (2017) Large-scale nonconvex stochastic optimization by doubly stochastic successive convex approximation. 2017 IEEE Internat. Conf. Acoustics Speech Signal Processing ICASSP (IEEE, Piscataway, NJ), 4701–4705.Google Scholar
• Montoya-Zumaeta J, Wunder S, Tacconi L (2021) Incentive-based conservation in Peru: Assessing the state of six ongoing PES and REDD+ initiatives. Land Use Policy 108:105514.Crossref, Google Scholar
• NASS GeoData (2023) CropScape: Cropland data layers. Accessed June 25, 2024, https://nassgeodata.gmu.edu/CropScape/.Google Scholar
• Nikouei A, Zibaei M, Ward F (2012) Incentives to adopt irrigation water saving measures for wetlands preservation: An integrated basin scale analysis. J. Hydrology 464:216–232.Crossref, Google Scholar
• Otaki Y, Onuki Y, Hosokawa Y (2024) Influence of financial incentive and nudge, alone and combined, on water-saving behaviors. Sustainable Futures 7:100224.Crossref, Google Scholar
• Pande C, Moharir K, Varade A (2023) Water conservation structure as an unconventional method for improving sustainable use of irrigation water for soybean crop under rainfed climate condition. Pande CB, Moharir KN, Singh SK, Pham QB, Elbeltagi A, eds. Climate Change Impacts on Natural Resources, Ecosystems and Agricultural Systems (Springer, Cham, Switzerland), 629–641.Crossref, Google Scholar
• Pereau JC, Pryet A, Rambonilaza T (2019) Optimality vs. viability in groundwater management with environmental flows. Ecol. Econom. 161:109–120.Crossref, Google Scholar
• Perkin JS, Gido KB, Falke JA, Fausch KD, Crockett H, Johnson ER, Sanderson J (2017) Groundwater declines are linked to changes in great plains stream fish assemblages. Proc. Natl. Acad. Sci. USA 114(28):7373–7378.Crossref, Google Scholar
• Reilly C, Stevenson K, Warner W, Park T, Knollenberg W, Lawson D, Brune S, Barbieri C (2022) Agricultural and environmental education: A call for meaningful collaboration in a US context. Environ. Ed. Res. 28(9):1410–1422.Crossref, Google Scholar
• Rivera A, Mes M (2022) Anticipatory scheduling of synchromodal transport using approximate dynamic programming. Ann. Oper. Res. 1–35.Google Scholar
• Rubio SJ, Casino B (2003) Strategic behavior and efficiency in the common property extraction of groundwater. Environ. Resource Econom. 26:73–87.Crossref, Google Scholar
• Sadana U, Reddy P, Zaccour G (2021) Nash equilibria in nonzero-sum differential games with impulse control. Eur. J. Oper. Res. 295(2):792–805.Crossref, Google Scholar
• Sahoo A, Narayanan V (2020) Differential-game for resource aware approximate optimal control of large-scale nonlinear systems with multiple players. Neural Networks 124:95–108.Crossref, Google Scholar
• Schilling J, Hertig E, Tramblay Y, Scheffran J (2020) Climate change vulnerability, water resources and social implications in North Africa. Reg. Environ. Change 20:1–12.Crossref, Google Scholar
• Song R, Yang G (2023) Online solving Nash equilibrium solution of n-player nonzero-sum differential games via recursive least squares. Soft Comput. 27(22):16659–16673.Crossref, Google Scholar
• Tourigny A, Filion Y (2023) Using an agent-based model to characterize how communication strategies affect time-to-adoption of water efficiency campaigns in a Canadian city. Sustainable Resilient Infrastructure 8(1):17–25.Crossref, Google Scholar
• Trinchero R, Canavero F (2021) Machine learning regression techniques for the modeling of complex systems: An overview. IEEE Electromagn. Compatibility Magazine 10(4):71–79.Crossref, Google Scholar
• U.S. Geological Survey (2018) Estimated use of water in the United States in 2015. Accessed June 25, 2024, https://pubs.usgs.gov/publication/cir1441.Google Scholar
• U.S. Geological Survey (2023) Rivers contain groundwater. Accessed September 28, 2024, https://www.usgs.gov/special-topics/water-science-school/science/rivers-contain-groundwater.Google Scholar
• USDA Agricultural Research Service (2022a) Crop values annual summary. Accessed June 25, 2024, https://usda.library.cornell.edu/concern/publications/k35694332?locale=en&page=2#release-items.Google Scholar
• USDA Agricultural Research Service (2022b) Water wisdom: Farmers must prepare for a drier future. Accessed September 28, 2024, https://www.ars.usda.gov/oc/utm/water-wisdom-farmers-must-prepare-for-a-drier-future/.Google Scholar
• Vardar B, Zaccour G (2018) The strategic impact of adaptation in a transboundary pollution dynamic game. Environ. Model. Assessment 23:653–669.Crossref, Google Scholar
• Yang X, Xu M, Wei Q (2023) Approximate dynamic programming for event-driven h∞ constrained control. IEEE Trans. Systems Man Cybernetics Systems 53(9):5922–5932.Crossref, Google Scholar
• Yi Y, Wei Z, Fu C (2020) A differential game of transboundary pollution control and ecological compensation in a river basin. Complexity 2020:1–13.Google Scholar
• Yuan GL, Zhou YJ, Zhang MX (2023) A hybrid conjugate gradient algorithm for nonconvex functions and its applications in image restoration problems. J. Oper. Res. Soc. China 11(4):759–781.Crossref, Google Scholar
• Zhang H, Cui L, Luo Y (2012) Near-optimal control for nonzero-sum differential games of continuous-time nonlinear systems using single-network ADP. IEEE Trans. Cybernetics 43(1):206–216.Crossref, Google Scholar
• Zipper S, Brookfield A, Ajami H, Ayers J, Beightel C, Fienen M, Gleeson T, et al. (2024) Streamflow depletion caused by groundwater pumping: Fundamental research priorities for management–relevant science. Water Resources Res. 60(5):e2023WR035727.Crossref, Google Scholar