Dissertation
Dissertation > Mathematical sciences and chemical > Mathematics > Algebra,number theory, portfolio theory > Combinatorics ( combinatorics ) > Graph Theory

The cooperative strategy is based on opinion leaders under the network environment

Author YinLianLing
Tutor GaoHongWei
School Qingdao University
Course Applied Mathematics
Keywords gamenets coordination game opinion leader strategic interaction
CLC O157.5
Type Master's thesis
Year 2012
Downloads 91
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Based on strategic interaction of the coordination game under the network environment, this paper takes different linking cost levels as the entry point into the concept of opinion leader, which shows that opinion leader in networks has an impact on equilibrium type, connectedness, overall payoff level and strategic interaction.For the strategic interaction based on the coordination game, considering different ranges and possible levels of the linking costs, detailed theoretical results are obtained on equilibrium network types without opinion leader and strategic choice method in procession of interaction. Based on above results, then we studied these networks with single opinion leader and found that the types of equilibrium networks are increased. Moreover, we gave all possible results of the equilibrium type and proofs.In addition, this paper also modifies the rules of strategic interaction in each period. It mainly supposes that the players choose link strategies firstly, and then choose action strategies. Under the rules modified above, for the large number of equilibrium networks which is composed of two complete components, if only one kind of players will be changed into opinion leader through mutation successively, this paper deduces the dynamic evolution in network structure and action selection, and finds these opinion leaders might join into another component conceivably, once it’s nodes accounts for a certain proportion, on the basis of the part, the ultimate equilibrium structure type is very likely to be the complete network.Based on the discussion of strategic interaction of the coordination game, for it has certain advantages in linking costs, opinion leader in network will show some extent ’initiative’, the specific performance is more likely to form links with other players to increase each other’s payoff, which will increasing the connectedness of network, and the increasing payoff brought by those links will raise network’s overall level. In fact, in economic, political and military networks, the opinion leader plays an important role as well, so our work has far-reaching practical significance.

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