Activity

  • Antwan Wang posted an update 6 years, 1 month ago

    Let us begin the 1.64028E+14 presentation of our outcomes by the area SzTv2 of the (S,T) plane, i.e., the element in the diagram belowPLoS One | http://www.plosone.orgthe dot-dashed line in Fig. 1. Commonly speaking, except for pretty higher temptation values inside the Prisoner’s Dilemma quadrant, in this area we only uncover recurrent sets consisting of a single style of technique (except for the game with S 0:five, T 1, in the border involving ARQ-092 msds Harmony and Snowdrift, for which there’s a second small recurrent set exactly where 0100 and 0101 coexist inside a mixed approach). In agreement with prior research, for the strict Prisoner’s Dilemma game with not so significant temptation values, the one of a kind absorbing node turns out to be the balanced WSLS tactic (Pavlov, 1001). An instance of this result could be observed for the parameters (S,T) ({0:5,1:5), where a blue large dot represents the absorbing set journal.pone.0174724 formed only by Pavlov. The same happens for the (S,T) (0,1) point, but starting from there and as one enters further in the Harmony game quadrant, there is a smooth transition in which an additional absorbing set appears, corresponding to the strategy AllC (1111), the balanced WSLS in this region above the S T line (dashed in Fig. 1; see also Fig. 2). In fact, above that line the equilibrium configuration is practically always AllC, with a residual presence of Pavlov in a few points. Therefore, our first result can be phrased by saying that balanced WSLS strategies represent the equilibrium configurations of the Prisoner’s Dilemma (for not so large temptations, specifically Tv2) and the Harmony games. The above conclusion applies in general to the region comprised between SzT 0 (dotted line in Fig. 1) and SzT 2, but things are not so simple when one looks at the part of this region that belongs to the Stag Hunt. The Stag Hunt quadrant is abundant in games with history-contingent end states. This is not surprising because in Stag Hunt coordinating pays, and coordination can be achieved by several different strategies?among them AllC (1111) and Pavlov (1001), the two strategies that are exchanging the role of balanced WSLS. However we also seeGenerosity Pays in Direct ReciprocityTable 4. Recurrent sets found in the Stag Hunt game quadrant.ST 0:strategies in recurrent set 1111 1001sm 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1am 0.60 0.22 0.18 0.40 0.46 0.14 0.55 0.32 0.13 0.64 0.16 0.12 0.08 0.66 0.14 0.06 0.14 0.66 0.14 0.07 0.13 0.54 0.11 0.07 0.13 0.15 0.41 0.10 0.10 0.08 0.24 0.07 0.17 0.21 0.09 0.{0:0:1111 1001{0:0:1111 1001{0:0:1111 1001 0001{0:{0:1111 1001 0001{0:{0:1111 1001 0001{0:{0:1111 1001 0001 0111{1:{0:1111 1001 0001 0111 1000{1:0:1111 1001 0001Same as Table 1 for the Stag Hunt game quadrant (S0, Tv1).