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We propose an extended public goods interaction model to study the evolutionof cooperation in heterogeneous population. The investors are arranged on thewell known scale-free type network, the Barab\'{a}si-Albert model. Eachinvestor is supposed to preferentially distribute capital to pools in itsportfolio based on the knowledge of pool sizes. The extent that investorsprefer larger pools is determined by investment strategy denoted by a tunableparameter $\alpha$, with larger $\alpha$ corresponding to more preference tolarger pools. As comparison, we also study this interaction model on squarelattice, and find that the heterogeneity contacts favors cooperation.Additionally, the influence of local topology to the game dynamics underdifferent $\alpha$ strategies are discussed. It is found that the system withsmaller $\alpha$ strategy can perform comparatively better than the larger$\alpha$ ones.

The public goods game on homogeneous and heterogeneous networks: investment strategy according to the pool size