Experimental Econophysics by Ji-Ping Huang

Author:Ji-Ping Huang
Language: eng
Format: epub
Publisher: Springer Berlin Heidelberg, Berlin, Heidelberg

Since normal agents still use their strategy with at the transition point after adding contrarians into the resource-allocation system, therefore, for them we have

When contrarian chooses normal agents as his/her group, the probability to get a normal agent who chooses Room 1 can be expressed approximately as . Then, the probability for 1 (or 0) is

where , , and is odd. Thus, we have the average of , , as

(6.5)

Plugging Eq. (6.5) into Eq. (6.2) yields

and then we have

(6.6)

Clearly, by adjusting , we can change the transition point of the resource-allocation system. Figure 6.6 shows the monotonically decreasing trend of for increasing , which displays an excellent agreement between theoretical and simulation results.

Fig. 6.6Transition point versus , as a result of theoretical analysis (curve obtained according to Eq. (6.6)) and simulation (data extracted from Fig. 6.5a). Parameters: and . Adapted from Ref. [9]

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