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Global bifurcations...
Global bifurcations of basins in a triopoly game
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- Agliari, Anna (författare)
- Univ Cattolica Sacro Cuore, Ist Econometria & Matematica, Italy
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- Gardini, Laura (författare)
- University of Urbino, Dept of Economics, Italy
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- Puu, Tönu, 1936- (författare)
- Umeå universitet,Centrum för regionalvetenskap (CERUM),Institutionen för nationalekonomi
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(creator_code:org_t)
- 2002
- 2002
- Engelska.
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Ingår i: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. - 0218-1274. ; 12:10, s. 2175-2207
- Relaterad länk:
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https://urn.kb.se/re...
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visa fler...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- A Cournot model based on bounded inverse demand function and constant marginal production costs is studied. The case of three producers is considered and the adjustment process reduces to a three-dimensional noninvertible map in the output of competitors. The analysis of the dynamical behavior of the map is performed by the "critical curve method", extended to the critical surfaces in 3D. By this method, we explain the different bifurcations in the basins of attraction and in the attracting sets. In particular, given the economic application, feasible trajectories are focused, starting from the simple situation of two identical producers and extending the results to the generic case.
Nyckelord
- three-dimensional map
- basin bifurcations
- critical surfaces
- subcritical neimark bifurcation
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- art (ämneskategori)
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