Fall Back Equilibrium for 2 x n Bimatrix Games

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Abstract

Abstract: In this paper we provide a characterisation of the set of fall back equilibria for 2 x n bimatrix games. Furthermore, for this type of games we discuss the relation between the set of fall back equilibria and the sets of perfect, proper and strictly perfect equilibria. In order to do this we reformulate the existing characterizations for these three equilibrium concepts by the use of refinement-specific subgames.
Original languageEnglish
Place of PublicationTilburg
PublisherOperations research
Number of pages18
Volume2012-044
Publication statusPublished - 2012

Publication series

NameCentER Discussion Paper
Volume2012-044

Fingerprint

Bimatrix games
Perfect equilibrium

Keywords

  • game theory
  • fall back equilibrium
  • 2 x n bimatrix game
  • equilibrium refinement

Cite this

Kleppe, J., Borm, P. E. M., & Hendrickx, R. L. P. (2012). Fall Back Equilibrium for 2 x n Bimatrix Games. (CentER Discussion Paper; Vol. 2012-044). Tilburg: Operations research.
Kleppe, J. ; Borm, P.E.M. ; Hendrickx, R.L.P. / Fall Back Equilibrium for 2 x n Bimatrix Games. Tilburg : Operations research, 2012. (CentER Discussion Paper).
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Kleppe, J, Borm, PEM & Hendrickx, RLP 2012 'Fall Back Equilibrium for 2 x n Bimatrix Games' CentER Discussion Paper, vol. 2012-044, Operations research, Tilburg.

Fall Back Equilibrium for 2 x n Bimatrix Games. / Kleppe, J.; Borm, P.E.M.; Hendrickx, R.L.P.

Tilburg : Operations research, 2012. (CentER Discussion Paper; Vol. 2012-044).

Research output: Working paperDiscussion paperOther research output

TY - UNPB

T1 - Fall Back Equilibrium for 2 x n Bimatrix Games

AU - Kleppe, J.

AU - Borm, P.E.M.

AU - Hendrickx, R.L.P.

N1 - Pagination: 18

PY - 2012

Y1 - 2012

N2 - Abstract: In this paper we provide a characterisation of the set of fall back equilibria for 2 x n bimatrix games. Furthermore, for this type of games we discuss the relation between the set of fall back equilibria and the sets of perfect, proper and strictly perfect equilibria. In order to do this we reformulate the existing characterizations for these three equilibrium concepts by the use of refinement-specific subgames.

AB - Abstract: In this paper we provide a characterisation of the set of fall back equilibria for 2 x n bimatrix games. Furthermore, for this type of games we discuss the relation between the set of fall back equilibria and the sets of perfect, proper and strictly perfect equilibria. In order to do this we reformulate the existing characterizations for these three equilibrium concepts by the use of refinement-specific subgames.

KW - game theory

KW - fall back equilibrium

KW - 2 x n bimatrix game

KW - equilibrium refinement

M3 - Discussion paper

VL - 2012-044

T3 - CentER Discussion Paper

BT - Fall Back Equilibrium for 2 x n Bimatrix Games

PB - Operations research

CY - Tilburg

ER -

Kleppe J, Borm PEM, Hendrickx RLP. Fall Back Equilibrium for 2 x n Bimatrix Games. Tilburg: Operations research. 2012. (CentER Discussion Paper).