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Nash Equilibria in 2 × 2 × 2 Trimatrix Games With Identical Anonymous Best-Replies

Peter E. M. Borm, Ruud Hendrickx, Carlos Gonzalez-Alcon
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

CARLOS GONZÁLEZ-ALCÓN, PETER BORM, RUUD HENDRICKX
2014 International Game Theory Review  
that users recognise and abide by the legal requirements associated with these rights.  ...  General rights Copyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications  ...  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

Jop Schouten, Peter Borm, Ruud Hendrickx
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