TY - JOUR
T1 - On the computation of stable sets for bimatrix games
AU - Vermeulen, A.J.
AU - Jansen, M.J.M.
PY - 2005/1/1
Y1 - 2005/1/1
N2 - In this paper, an alternative definition of stable sets, defined by mertens [mertens, 1989. Stable equilibria – a reformulation. Part i. Definitions and basic properties. Mathematics of operations research 14, 575–625], is given where perturbations are interpreted as restrictions on the strategy space instead of perturbations of the payoffs. This alternative interpretation is then used to compute a special type of stable sets –called standard stable sets – in the context of bimatrix games, exclusively using linear optimization techniques and finite enumerations.
AB - In this paper, an alternative definition of stable sets, defined by mertens [mertens, 1989. Stable equilibria – a reformulation. Part i. Definitions and basic properties. Mathematics of operations research 14, 575–625], is given where perturbations are interpreted as restrictions on the strategy space instead of perturbations of the payoffs. This alternative interpretation is then used to compute a special type of stable sets –called standard stable sets – in the context of bimatrix games, exclusively using linear optimization techniques and finite enumerations.
U2 - 10.1016/j.jmateco.2004.09.003
DO - 10.1016/j.jmateco.2004.09.003
M3 - Article
SN - 0304-4068
VL - 41
SP - 735
EP - 763
JO - Journal of Mathematical Economics
JF - Journal of Mathematical Economics
ER -