Non-algebraic convergence proofs for continuous-time fictitious play
Ulrich Berger
Department of Economics (Berger)
Publication: Scientific journal › Journal article › peer-review
In this technical note we use insights from the theory of projective geometry to provide novel and non-algebraic proofs of convergence of continuous-time fictitious play for a class of games. As a corollary we obtain a kind of equilibrium selection result, whereby continuous-time fictitious play converges to a particular equilibrium contained in a continuum of equivalent equilibria for symmetric 4x4 zero-sum games.
Dynamic Games and Applications
10.1007/s13235-011-0033-4Licence: Unspecified
2012 DGAAccepted author manuscript, 247 KBLicence: Other
University Library Catalogue
http://www.springerlink.com/content/d3g31156103821t1/
Berger, U. (2012). Non-algebraic convergence proofs for continuous-time fictitious play. Dynamic Games and Applications, 2(1), 4 - 17. https://doi.org/10.1007/s13235-011-0033-4
Berger, Ulrich. / Non-algebraic convergence proofs for continuous-time fictitious play. In: Dynamic Games and Applications. 2012 ; Vol. 2, No. 1. pp. 4 - 17.
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title = "Non-algebraic convergence proofs for continuous-time fictitious play",
abstract = "In this technical note we use insights from the theory of projective geometry to provide novel and non-algebraic proofs of convergence of continuous-time fictitious play for a class of games. As a corollary we obtain a kind of equilibrium selection result, whereby continuous-time fictitious play converges to a particular equilibrium contained in a continuum of equivalent equilibria for symmetric 4x4 zero-sum games.",
author = "Ulrich Berger",
pages = "4 -- 17",
journal = "Dynamic Games and Applications",
publisher = "Springer Science + Business Media",
Berger, U 2012, 'Non-algebraic convergence proofs for continuous-time fictitious play', Dynamic Games and Applications, vol. 2, no. 1, pp. 4 - 17. https://doi.org/10.1007/s13235-011-0033-4
Non-algebraic convergence proofs for continuous-time fictitious play. / Berger, Ulrich.
In: Dynamic Games and Applications, Vol. 2, No. 1, 2012, p. 4 - 17.
T1 - Non-algebraic convergence proofs for continuous-time fictitious play
AU - Berger, Ulrich
N2 - In this technical note we use insights from the theory of projective geometry to provide novel and non-algebraic proofs of convergence of continuous-time fictitious play for a class of games. As a corollary we obtain a kind of equilibrium selection result, whereby continuous-time fictitious play converges to a particular equilibrium contained in a continuum of equivalent equilibria for symmetric 4x4 zero-sum games.
AB - In this technical note we use insights from the theory of projective geometry to provide novel and non-algebraic proofs of convergence of continuous-time fictitious play for a class of games. As a corollary we obtain a kind of equilibrium selection result, whereby continuous-time fictitious play converges to a particular equilibrium contained in a continuum of equivalent equilibria for symmetric 4x4 zero-sum games.
UR - http://www.springerlink.com/content/d3g31156103821t1/
JO - Dynamic Games and Applications
JF - Dynamic Games and Applications
Berger U. Non-algebraic convergence proofs for continuous-time fictitious play. Dynamic Games and Applications. 2012;2(1):4 - 17. doi: 10.1007/s13235-011-0033-4