Evolutionary Random Access Game With Objective and Subjective Players

We consider an evolutionary game on a graph under the condition that players perception of uncertainty and decision making can follow either objective expected utility theory (EUT) model or subjective prospect (PT) model. Each player chooses one two strategies with probabilities $x$ $1-x$ , where bias their choices to be $w(x)$ $w(1-x)$ reflect probability weighting effect PT. derive conditions achieve locally asymptotically stable Nash equilibrium (NE) necessary strategy (ESS). illustrate these results through simple random access channel game. find players’ behavior is affected by total number as well each type (objective subjective). show increasing interacting induces aggressive transmission becomes similar for both types players. Moreover, we let adjust throughput rewards, delay penalties, energy costs. The EUT higher than PT small equal if increases.