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Nash Equilibria in 2 × 2 × 2 Trimatrix Games With Identical Anonymous Best-Replies
2011
Social Science Research Network
This paper introduces the class of 2 × 2 × 2 trimatrix games with identical anonymous best-replies. For this class a complete classification on the basis of the Nash equilibrium set is provided. ...
in terms of payoffs, but the best-reply correspondences exhibit IABR. 3 Nash equilibria of IABR 2 × 2 × 2 games In this section we provide a full description of the set of Nash equilibria in 2×2×2 trimatrix ...
We restrict attention to games with identical anonymous best replies (IABR). IABR is a symmetry property of the joint best reply correspondences. In particular, every symmetric game is IABR. ...
doi:10.2139/ssrn.1972140
fatcat:m4stqsw2onbxxfowgvllp3rdla
NASH EQUILIBRIA IN 2 × 2 × 2 TRIMATRIX GAMES WITH IDENTICAL ANONYMOUS BEST-REPLIES
2014
International Game Theory Review
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in terms of payoffs, but the best-reply correspondences exhibit IABR. 3 Nash equilibria of IABR 2 × 2 × 2 games In this section we provide a full description of the set of Nash equilibria in 2×2×2 trimatrix ...
doi:10.1142/s0219198914500157
fatcat:jf375ch3djhyzgbuzj3y4vvf2u
Unilateral Support Equilibria
2018
Social Science Research Network
Finally, the relation between the set of unilateral support equilibria and the set of Nash equilibria is explored. ...
Moreover, it is shown that every Berge equilibrium is also a unilateral support equilibrium and we provide an example in which there is no Berge equilibrium, while the set of unilateral support equilibria ...
In other words, player 1 is playing a best reply strategy with regard to the pay-off function of player 2. Figure 2a shows this set of best reply strategies. ...
doi:10.2139/ssrn.3150237
fatcat:wyidox7om5dxxcwxmy7o3guuwe