000 01339nam a22002417a 4500
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022 _a0938-2259
040 _aMSU
_bEnglish
_cMSU
_erda
050 _aHB119 ECO
100 1 _aTopolyan, Iryna
_eauthor
245 1 0 _aExistence of perfect equilibria:
_ba direct proof
_cby Iryna Topolyan
264 1 _aHeildelberg :
_bSpringer,
_c2013
336 _2rdacontent
_atext
_btxt
337 _2rdamedia
_aunmediated
_bn
338 _2rdacarrier
_avolume
_bnc
440 _aEconomic theory
_vVolume 53, number 3
520 _aWe provide a direct proof of the existence of perfect equilibria in finite normal form games and extensive games with perfect recall. It is done by constructing a correspondence whose fixed points are precisely the perfect equilibria of a given finite game. Existence of a fixed point is secured by a generalization of Kakutani theorem, which is proved in this paper. This work offers a new approach to perfect equilibria, which would hopefully facilitate further study on this topic. We also hope our direct proof would be the first step toward building an algorithm to find the set of all perfect equilibria of a strategic game.
650 _aPerfect equilibri
856 _u10.1007/s00199-012-0701-7
942 _2lcc
_cJA
999 _c164460
_d164460