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

VL - 41

SP - 735

EP - 763

JO - Journal of Mathematical Economics

JF - Journal of Mathematical Economics

SN - 0304-4068

ER -