Why politics makes strange bedfellows: Dynamic model with DNS curves
We analyze a two-dimensional system of political behavior which has three equilibria in the uncontrolled version. After adding a control variable, two more equilibria occur and Skiba curves (also called DNS curves) can be analyzed. In this model, it is possible to derive under what conditions each o...
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| Veröffentlicht in: | Journal of optimization theory and applications 2001-11, Vol.111 (2), p.237-254 |
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| container_title | Journal of optimization theory and applications |
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| creator | CAULKINS, J. P HARTL, R. F TRAGLER, G FEICHTINGER, G |
| description | We analyze a two-dimensional system of political behavior which has three equilibria in the uncontrolled version. After adding a control variable, two more equilibria occur and Skiba curves (also called DNS curves) can be analyzed. In this model, it is possible to derive under what conditions each of the different equilibria is a saddle point, a node, or a focus. In particular, for certain parameter ranges, all five equilibria have real eigenvalues. In this case, the Skiba curves can be computed in a more straightforward way than usual. The curves spiral outward, so any ray extending from the origin crosses these curves arbitrarily many times, as it alternately crosses regions for which it is optimal to approach each of the three equilibria. |
| doi_str_mv | 10.1023/A:1011925332503 |
| format | Article |
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P ; HARTL, R. F ; TRAGLER, G ; FEICHTINGER, G</creator><creatorcontrib>CAULKINS, J. P ; HARTL, R. F ; TRAGLER, G ; FEICHTINGER, G</creatorcontrib><description>We analyze a two-dimensional system of political behavior which has three equilibria in the uncontrolled version. After adding a control variable, two more equilibria occur and Skiba curves (also called DNS curves) can be analyzed. In this model, it is possible to derive under what conditions each of the different equilibria is a saddle point, a node, or a focus. In particular, for certain parameter ranges, all five equilibria have real eigenvalues. In this case, the Skiba curves can be computed in a more straightforward way than usual. The curves spiral outward, so any ray extending from the origin crosses these curves arbitrarily many times, as it alternately crosses regions for which it is optimal to approach each of the three equilibria.</description><identifier>ISSN: 0022-3239</identifier><identifier>EISSN: 1573-2878</identifier><identifier>DOI: 10.1023/A:1011925332503</identifier><identifier>CODEN: JOTABN</identifier><language>eng</language><publisher>New York, NY: Springer</publisher><subject>Applied sciences ; Computer science; control theory; systems ; Control theory. Systems ; Drug policy ; Eigenvalues ; Equilibrium ; Exact sciences and technology ; Operational research and scientific management ; Operational research. Management science ; Operations research ; Optimal control ; Optimization. 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| subjects | Applied sciences Computer science control theory systems Control theory. Systems Drug policy Eigenvalues Equilibrium Exact sciences and technology Operational research and scientific management Operational research. Management science Operations research Optimal control Optimization. Search problems Perceptions Political behavior Politicians Politics System theory Voters |
| title | Why politics makes strange bedfellows: Dynamic model with DNS curves |
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