Rosser, John Barkley jun. Coupled chaotic systems and extreme ecologic-economic outcomes. (English) Zbl 1457.91287 Szidarovszky, Ferenc (ed.) et al., Games and dynamics in economics. Essays in honor of Akio Matsumoto. Singapore: Springer. 3-15 (2020). Summary: In sympathy with work of Akio Matsumoto, this essay reviews models that consider how the coupling of systems within ecologic-economic contexts can generate not only chaotic dynamics, but lead to outcomes that exhibit kurtotic outcomes rather than reflecting Gaussian distributions. This aligns with arguments made by Martin Weitzmann regarding the global climate system. The models considered included one where climate and economic systems are separately non-chaotic but chaotic when combined and another where the economic system is chaotic and when combined with climate generates kurtotic outcomes through flare attractors. Likewise, similarly coupled models involving fisheries and forestry dynamics are considered where coupling leads to chaotic dynamics. Multi-level systems with such dynamics are then considered with the governance issues involved with such systems are examined.For the entire collection see [Zbl 1455.91010]. MSC: 91B76 Environmental economics (natural resource models, harvesting, pollution, etc.) 37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior 91-02 Research exposition (monographs, survey articles) pertaining to game theory, economics, and finance Keywords:global climate system; ecologic-economic contexts; chaotic systems PDFBibTeX XMLCite \textit{J. B. Rosser jun.}, in: Games and dynamics in economics. Essays in honor of Akio Matsumoto. Singapore: Springer. 3--15 (2020; Zbl 1457.91287) Full Text: DOI References: [1] Netting, R. (1976). What alpine peasants have in common: Observations on communal tenure in a Swiss village. Human Ecology,4,134-146. [2] Weitzman, M. L. (2011). Fat-tailed uncertainty in the economics of catastrophic climate change. Review of Environmental Economics and Policy,5,275-292. [3] Zimmer, C. [4] Wilson, J., Low, B., Costanza, R., & Ostrom, E. (1999). Scale misperception and the spatial dynamics of a social-ecological system. Ecological Economics,31,243-257. [5] Weitzman, M. L. (2014). Fat tails and the social cost of carbon. American Economic Review: Papers and Proceedings,104,544-546. [6] Weitzman, M. L. (2012). GHG targets as insurance against catastrophic climate change. Journal of Public Economic Theory,14,221-244. [7] Weitzman, M. L. (2009). On modeling and interpreting the economics of catastrophic climate change. Review of Economics and Statistics,91,1-19. [8] Turchin, P. (2003). Complex population dynamics: A theoretical/empirical synthesis. Princeton: Princeton University Press. · Zbl 1062.92077 [9] Solé, R. V., & Bascompte, J. (2006). Self-organization in complex ecosystems. Princeton: Princeton University Press. [10] Simon, H. A. (1962). The architecture of complexity. Proceedings of the American Philosophical Society,106,467-482. [11] Simon, H. A. (1957). Models of man. New York: Wiley. [12] Schaefer, M. B. (1957). Some considerations of population dynamics and economics in relation to the management of marine fisheries. Journal of the Fisheries Research Board of Canada,14,669-681. [13] Sakai, K. (2001). Nonlinear dynamics in agricultural systems. Amsterdam: Elsevier. [14] Rössler, O. E., Knudsen, C., Hudson, J. L., & Tsuda, I. (1995). Nowhere differentiable attractors. International Journal of Intelligent Systems,10,15-23. · Zbl 0835.58024 [15] Rössler, O. E., & Hartman, G. (1995). Attractors with flares. Fractals,3,285-286. · Zbl 0876.58031 [16] Rössler, O. E. (1976). An equation for continuous chaos. Physics Letters A,57,397-398. · Zbl 1371.37062 [17] Rosser, J. B., Jr., & Rosser, M. V. (2015). Complexity and behavioral economics. Nonlinear Dynamics, Psychology, and Life Sciences,19,201-226. [18] Rosser, J. B., Jr., & Rosser, M. V. (2006). Institutional evolution of environmental management under economic growth. Journal of Economic Issues,40,421-429. [19] Rosser, J. B., Jr., Ahmed, E., & Hartmann, G. C. (2003). Volatility via social flaring. Journal of Economic Behavior & Organization,50,77-87. [20] Rosser, J. B., Jr. (2016). Governance issues in complex ecologic-economic systems. Review of Behavioral Economics,3,335-357. [21] Rosser, J. B., Jr. (2013). Special problems of forests as ecologic-economics systems. Forest Policy and Economics,35,31-38. [22] Rosser, J. B., Jr. (2011). Complex evolutionary dynamics in urban-regional and ecologic-economic systems: From catastrophe to chaos and beyond. New York: Springer. [23] Rosser, J. B., Jr. (2002). Complex coupled system dynamics and the global warming policy problem. Discrete Dynamics in Nature and Society,7,93-100. · Zbl 1117.91415 [24] Rosser, J. B., Jr. (2001). Complex ecologic-economic dynamics and environmental policy. Ecological Economics,37,23-37. [25] Rosser, J. B., Jr. (1995). Systemic crises in hierarchical ecological economies. Land Economics,71,163-172. [26] Rosser, J. B., Jr. (1994). Dynamics of emergent urban hierarchy. Chaos, Solitons & Fractals,4,553-562. · Zbl 0798.92031 [27] Rosser, J. B., Jr. (1991). From catastrophe to chaos: A general theory of economic discontinuities. Boston: Kluwer. · Zbl 0756.90025 [28] Radner, R. S. (1992). Hierarchy: The economics of managing. Journal of Economic Literature,30,1382-1415. [29] Ostrom, E. (1990). Governing the commons. Cambridge, UK: Cambridge University Press. [30] Nicolis, J. S. (1986). Dynamics of hierarchical systems: An evolutionary approach. Berlin: Springer. · Zbl 0588.93005 [31] Milnor, J. (1985). On the concept of an attractor. Communications in Mathematical Physics,102,517-519. · Zbl 0602.58030 [32] May, R. M. (1976). Simple mathematical models with very complicated dynamics. Nature,261,471-477. · Zbl 1369.37088 [33] Matsumoto, A., Szidarovskzy, F., & Yabuta, M. (2018). Environmental effects of ambient change in Cournot oligopoly. Journal of Environmental Economics and Policy, 7(1). https://doi.org/10.1080/21606544,2017.1347527. [34] Matsumoto, A., & Szidarovszky, F. (2015). The asymptotic behavior in a nonlinear cobweb model with time delays. Discrete Dynamics in Nature and Society,15,1-14. · Zbl 1418.91304 [35] Matssumoto, A. (2003). Let it be: Chaotic price instability can be beneficial. Chaos, Solitons & Fractals, 18, 745-758. · Zbl 1069.37071 [36] Matsumoto, A. (2001). Can inventory chaos be welfare improving? International Journal of Production Economics, 71, 31-43. [37] Matsumoto, A. (1999). Preferable disequilibrium behavior in a nonlinear cobweb model. Annals of Operations Research,89,101-123. · Zbl 0947.37019 [38] Matsumoto, A. (1997). Ergodic cobweb chaos. Discrete Dynamics in Nature and Society,1,135-146. · Zbl 0953.91059 [39] Massetti, E., & Di Lorenzo, E. (2019). Chaos in climate change impacts estimates. Working Paper, Georgia Institute of Technology. [40] Lorenz, E. N. (1963). Deterministic non-periodic flow. Journal of Atmospheric Science,20,130-141. · Zbl 1417.37129 [41] Ishikawa, T., Matsumoto, A., & Szidarovszky, F. (2019). Regulation of non-point source pollution under n-firm Bertrand competition. Environmental Economics and Policy Studies, 21(4). https://doi.org/10.1007/1008-09-0243-9. [42] Hyde, W. F. (1980). Timber supply, land allocation, and economic efficiency. Baltimore: Johns Hopkins University Press. [43] Hommes, C. H., & Rosser, J. B., Jr. (2001). Consistent expectations equilibria and complex dynamics in renewable resource markets. Macroeconomic Dynamics,5,180-203. · Zbl 0980.91051 [44] Holling, C. S. (1992). Cross-scale morphology, geometry, and dynamics of ecosystems. Ecological Monographs,62,447-502. [45] Henderson-Sellers, A., & McGuffie, K. (1987). A climate modeling primer. New York: Wiley. [46] Hartmann, G. C., & Rössler, O. E. (1998). Coupled flare attractors—A discrete prototype for economic modelling. Discrete Dynamics in Nature and Society,2,153-159. · Zbl 1010.37058 [47] Hartman, R. (1976). The harvesting decision when a standing forest has value. Economic Inquiry,14,52-58. [48] Haken, H. (1977). “Synergetics”, nonequilibrium phase transitions and social measurement. Berlin: Springer. · Zbl 0355.93003 [49] Gordon, H. S. (1954). Economic theory of a common-property resource: The fishery. Journal of Political Economy,62,124-142. [50] Foroni, I., Gardini, L., & Rosser, J. B., Jr. (2003). Adaptive statistical expectations in a renewable resource market. Mathematics and Computers in Simulation,63,541-567. · Zbl 1060.91052 [51] Diener, M., & Poston, T. (1984). The perfect delay convention, or the revolt of the slaved variables. In H. Haken (Ed.), Chaos and order in nature(2nd ed., pp. 249-268). Berlin: Springer. · Zbl 0503.58009 [52] Day, R. H. (1982). Irregular growth cycles. American Economic Review,72,406-414. [53] Crow, J. F. (1955). General theory of population genetics: Synthesis. Cold Spring Harbor Symposia on Quantitative Biology,20,54-59. [54] Conklin, J. E., & Kohlberg, W. C. (1994). Chaos for the halibut? Marine Resource Economics,9,153-182. [55] Copes, P. (1970). The backward-bending supply curve of the fishing industry. Scottish Journal of Political Economy,17,69-77. [56] Clark, C. W. (1985). Bioeconomic modelling and fisheries management. New York: Wiley Interscience. [57] Chen, Z. (1997). Can economic activity lead to climate chaos? Canadian Journal of Economics,30,349-366. [58] Bromley, D. W. (1991). Environment and economy: Property rights and public policy. Oxford: Basil Blackwell. [59] Braudel, F. (1967). Civilization Matérielle et Capitalisme. Paris: Librairie Armand Colin. (English translation: K. Miriam. (1973) Capitalism and material life: 1400-1800. New York: Harper and Row). [60] Bogdanov, A. A. (1925-1929). Tektologia: Vseobschaya Organizatsionnaya Nauka, 3 vols. Berlin: Z.I. Grschbein. (English translation, G. Gorelik (1980) Essays in Tektology: The general science of organizations. Seaside: Intersystem Publications). [61] Binkley, C. S. (1986). Long-run timber supply, price elasticity, inventory elasticity, and the use of capital in timber production. Natural Resource Modeling,7,163-181. [62] von Bertalanffy, L. (1962). General systems theory. New York: George Braziller. [63] Amacher, G. S., Merry, F. D., & Bowman, M. S. (2009). Smallholder timber sale decisions on the Amazon frontier. Ecological Economics,68,1787-1796. This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.