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Bayesian Decision-Makers Confront the Power Cycle: A Formal Model
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A Very Brief Statement of What Power Cycle Theory IS
As established by power cycle theory, the “power cycle” is the generalized path of a state’s relative power change over long time periods, reflecting at once the changing structure of the system and the state’s rise and decline as a major power in that system. The power cycle encompasses each state and the system in a “single dynamic” of changing systemic share among states comprising the system (Figure 1A), as defined more precisely below. Together, the relative power changes on the component power cycles map the changing structure of the system across long periods of history (Figure 2). What is more, each state’s future power and role projections (expectations) are embedded in the evolving contour of its power cycle, as is the possibility that power and foreign policy role can get out of sync.
Power cycle theory establishes the “fundamental principles of the power cycle” that explain how absolute growth differentials in the system set the cycles in motion and create the rise and decline of states.
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Even
more strikingly, these principles reveal the unique “perspective of statecraft” in the trends and shifting trends (the expectations and unexpected nonlinearities) of relative power change in contrast to the perspective of absolute trends. Power cycle theory thereby unites the structural (state and system) and behavioral (power and statecraft) aspects of world politics in its “single dynamic” of power and role.
In exposing contradictions between absolute and relative power dynamics, the theory establishes the conflicting reality of each for international political behavior. Indeed, it argues theoretically, and demonstrates empirically and in history, that the state can be pulled onto unexpected paths by the bounds of the system, that the undercurrents of competition can counter and overwhelm even the strongest surge in absolute power growth. Even in the hour of its greatest achievement, a state can be pulled into relative decline by the tiny increases in absolute power of a much smaller but faster growing state.
Power cycle theory has many aspects, uniting structural and perceptual change in an encompassing theory of international political behavior and general international equilibrium. We will here briefly summarize aspects relevant to the purpose of this paper.
The theoretical, historical, and empirical demonstration that states indeed pass through cycles of relative power across long time intervals also showed that these cycles correspond to the asymmetric logistic, homologous to the growth (decline) of populations in limiting environments. An international system contains 100 percent shares of power, and each state at each point in time possesses a fraction of these shares. It is the “bounds of the system,” competition for share among the component states in the system, that constrains the relative growth of each state, creating a structural undercurrent that contours the shape of foreign policy possibilities as it pulls the component states through their power cycles. Thus, foreign policy role follows the pattern of relative power change, normally with a lag, and is the “currency” of international politics.
The theory presents argument and evidence that critical points of abrupt, unpredictable change occur at certain times on this curve (inflection and turning points) where everything changes in structural terms for state and system. In traversing a critical point on its power cycle, a state experiences the tides of history shifting its relative power trajectory, inverting the trend of its change in systemic share.
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At the lower turning point beginning the cycle, the state experiences the “birth throes of a major power,” a youthful dynamism that may induce foreign policy imprudence. At the inflection point on the rising trajectory (Figure 3, assessed below), the state experiences the “trauma of constrained ascendancy,” the first shock to its heady growth. At the upper turning point, it experiences the “trauma of expectations foregone” – the sudden discovery that its long period of relative power growth has peaked, that for the first time in its history it must confront relative decline. At the inflection point on the declining trajectory, the state experiences the “hopes and illusions of the second wind,” where improvement in its rate of decline encourages the state’s foreign policy in a direction opposite to that of its continuing downward trajectory. And at the lower turning point at the end of the cycle, the state is confronted with
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| | Authors: Doran, Charles F.. and Doran, Kirk. |
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A Very Brief Statement of What Power Cycle Theory IS
As established by power cycle theory, the “power cycle” is the generalized path of a state’s relative power change over long time periods, reflecting at once the changing structure of the system and the state’s rise and decline as a major power in that system. The power cycle encompasses each state and the system in a “single dynamic” of changing systemic share among states comprising the system (Figure 1A), as defined more precisely below. Together, the relative power changes on the component power cycles map the changing structure of the system across long periods of history (Figure 2). What is more, each state’s future power and role projections (expectations) are embedded in the evolving contour of its power cycle, as is the possibility that power and foreign policy role can get out of sync.
Power cycle theory establishes the “fundamental principles of the power cycle” that explain how absolute growth differentials in the system set the cycles in motion and create the rise and decline of states.
Even
more strikingly, these principles reveal the unique “perspective of statecraft” in the trends and shifting trends (the expectations and unexpected nonlinearities) of relative power change in contrast to the perspective of absolute trends. Power cycle theory thereby unites the structural (state and system) and behavioral (power and statecraft) aspects of world politics in its “single dynamic” of power and role.
In exposing contradictions between absolute and relative power dynamics, the theory establishes the conflicting reality of each for international political behavior. Indeed, it argues theoretically, and demonstrates empirically and in history, that the state can be pulled onto unexpected paths by the bounds of the system, that the undercurrents of competition can counter and overwhelm even the strongest surge in absolute power growth. Even in the hour of its greatest achievement, a state can be pulled into relative decline by the tiny increases in absolute power of a much smaller but faster growing state.
Power cycle theory has many aspects, uniting structural and perceptual change in an encompassing theory of international political behavior and general international equilibrium. We will here briefly summarize aspects relevant to the purpose of this paper.
The theoretical, historical, and empirical demonstration that states indeed pass through cycles of relative power across long time intervals also showed that these cycles correspond to the asymmetric logistic, homologous to the growth (decline) of populations in limiting environments. An international system contains 100 percent shares of power, and each state at each point in time possesses a fraction of these shares. It is the “bounds of the system,” competition for share among the component states in the system, that constrains the relative growth of each state, creating a structural undercurrent that contours the shape of foreign policy possibilities as it pulls the component states through their power cycles. Thus, foreign policy role follows the pattern of relative power change, normally with a lag, and is the “currency” of international politics.
The theory presents argument and evidence that critical points of abrupt, unpredictable change occur at certain times on this curve (inflection and turning points) where everything changes in structural terms for state and system. In traversing a critical point on its power cycle, a state experiences the tides of history shifting its relative power trajectory, inverting the trend of its change in systemic share.
At the lower turning point beginning the cycle, the state experiences the “birth throes of a major power,” a youthful dynamism that may induce foreign policy imprudence. At the inflection point on the rising trajectory (Figure 3, assessed below), the state experiences the “trauma of constrained ascendancy,” the first shock to its heady growth. At the upper turning point, it experiences the “trauma of expectations foregone” – the sudden discovery that its long period of relative power growth has peaked, that for the first time in its history it must confront relative decline. At the inflection point on the declining trajectory, the state experiences the “hopes and illusions of the second wind,” where improvement in its rate of decline encourages the state’s foreign policy in a direction opposite to that of its continuing downward trajectory. And at the lower turning point at the end of the cycle, the state is confronted with
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