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Using System Dynamics to Analyze Innovation Diffusion
                     Processes within Intra-organizational Networks
                                            organizational

                                  Philipp Wunderlich, Andreas Größler, Jac Vennix*

                      Purpose: to demonstrate the usefulness of system dynamics as a methodology to
                      analyze intra-organizational innovation diffusion processes.
                      Method: a purely algebraic model is replicated and analyzed in a system dynamics
                      environment before it is extended by relaxing the restrictive assumption that intra-
                      group diffusion and inter-group diffusion take place consecutively.
                      Findings: the parallel occurrence of intra-  -group and inter-group diffusion can change
                      the outcome of diffusion processes significantly The interplay between the self-
                                                                significantly.
                      reinforcing dynamics of intra-group diffusion and the balancing dynamics of inter-group
                      diffusion is heavily influenced by the structure of the network.
                      Implications: adopter-dominated groups should be connected to each other while non-
                      adopter-dominated groups should be isolated from each other in order to increase the
                      probability and speed of successful innovation diffusions.
                      Limitations: only one network structure between groups was examined and all groups
                      are considered to be homogeneous.


           Krackhardt’s (1997) diffusion model                                                                    Stock/flow structure of Krackhardt’s (1997) model
                                                                                                              migration a21           migration a32                            migration a43           migration a54

                                                                                                              migration a12           migration a23                            migration a34           migration a45

                     Positive word-of-mouth                                                        Adopters                   Adopters                             Adopters                   Adopters                Adopters
                                                                                                   Group 1                    Group 2                              Group 3                    Group 4                 Group 5

Non-adopter                       convert to                               Adopter                 conversion1                conversion2                          conversion3               conversion4              conversion5

                                                                                                 Non-adopters
                                                                                                     adopters             Non-adopters                     Non-adopters                    Non-adopters              Non-adopters
                 Negative word-of mouth                                                            Group 1                  Group 2                          Group 3                         Group 4                   Group 5

                                                                                                             migration n12           migration n23                             migration n34           migration n45

                                                                                                             migration n21           migration n32                             migration n43           migration n54


            Principle of “Optimal Viscosity”                                                                           Comparison Krackhardt / System Dynamics

    1                                 2                23            23         23
                                          3                                                                      1       12      123      1 23 12345                                                          12      1 23     12345
                                                                                                     1 1                                      4                                   1 1        1        1

  0.5                   23                                                                                         2                                                                                   2
                                                                                                   0.5                                                                          0.5
                                                                                                                            3                                                                                    3         4
                                                                                                                                      4                                                    2
           1 2 34 5          45               45            45            45          45                 2                                             5                              2                 3
                                                                                                     0    34 5 3 45          45    5                                              0    345 3 45           45      45       5
    0
                   1              1                1             1             1                       0    45 90           135 180 225 270                                         0    45 90           135 180 225 270
        0        45          90        135    180                    225        270
                                                                                                                           Time (Day)                                                                  Time (Day)
                                      Time (Day)
                                                                                                  Adopters   [gr1] : MGr1_Migration09.8   1                1                    Adopters [gr1] : MGr1_Migration10.4 1        1
 Average   Adopter   Fraction: MGr1_Migration17.5 1       1         1
 Average   Adopter   Fraction: MGr1_Migration15.0 2         2                                     Adopters   [gr2] : MGr1_Migration09.8    2                   2                Adopters [gr2] : MGr1_Migration10.4  2         2
 Average   Adopter   Fraction: MGr1_Migration12.5   3         3                                   Adopters   [gr3] : MGr1_Migration09.8        3                   3            Adopters [gr3] : MGr1_Migration10.4    3         3
 Average   Adopter   Fraction: MGr1_Migration10.0     4         4                                 Adopters   [gr4] : MGr1_Migration09.8            4                   4        Adopters [gr4] : MGr1_Migration10.4      4         4
 Average   Adopter   Fraction: MGr1_Migration07.5       5         5                               Adopters   [gr5] : MGr1_Migration09.8                5                   5    Adopters [gr5] : MGr1_Migration10.4        5         5



                                                            * Radboud University Nijmegen, the Netherlands, {p.wunderlich, a.groessler, j.vennix}@fm.ru.nl

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Using System Dynamics to Analyze Innovation Diffusion Processes within Intra-organizational Networks3

  • 1. Using System Dynamics to Analyze Innovation Diffusion Processes within Intra-organizational Networks organizational Philipp Wunderlich, Andreas Größler, Jac Vennix* Purpose: to demonstrate the usefulness of system dynamics as a methodology to analyze intra-organizational innovation diffusion processes. Method: a purely algebraic model is replicated and analyzed in a system dynamics environment before it is extended by relaxing the restrictive assumption that intra- group diffusion and inter-group diffusion take place consecutively. Findings: the parallel occurrence of intra- -group and inter-group diffusion can change the outcome of diffusion processes significantly The interplay between the self- significantly. reinforcing dynamics of intra-group diffusion and the balancing dynamics of inter-group diffusion is heavily influenced by the structure of the network. Implications: adopter-dominated groups should be connected to each other while non- adopter-dominated groups should be isolated from each other in order to increase the probability and speed of successful innovation diffusions. Limitations: only one network structure between groups was examined and all groups are considered to be homogeneous. Krackhardt’s (1997) diffusion model Stock/flow structure of Krackhardt’s (1997) model migration a21 migration a32 migration a43 migration a54 migration a12 migration a23 migration a34 migration a45 Positive word-of-mouth Adopters Adopters Adopters Adopters Adopters Group 1 Group 2 Group 3 Group 4 Group 5 Non-adopter convert to Adopter conversion1 conversion2 conversion3 conversion4 conversion5 Non-adopters adopters Non-adopters Non-adopters Non-adopters Non-adopters Negative word-of mouth Group 1 Group 2 Group 3 Group 4 Group 5 migration n12 migration n23 migration n34 migration n45 migration n21 migration n32 migration n43 migration n54 Principle of “Optimal Viscosity” Comparison Krackhardt / System Dynamics 1 2 23 23 23 3 1 12 123 1 23 12345 12 1 23 12345 1 1 4 1 1 1 1 0.5 23 2 2 0.5 0.5 3 3 4 4 2 1 2 34 5 45 45 45 45 45 2 5 2 3 0 34 5 3 45 45 5 0 345 3 45 45 45 5 0 1 1 1 1 1 0 45 90 135 180 225 270 0 45 90 135 180 225 270 0 45 90 135 180 225 270 Time (Day) Time (Day) Time (Day) Adopters [gr1] : MGr1_Migration09.8 1 1 Adopters [gr1] : MGr1_Migration10.4 1 1 Average Adopter Fraction: MGr1_Migration17.5 1 1 1 Average Adopter Fraction: MGr1_Migration15.0 2 2 Adopters [gr2] : MGr1_Migration09.8 2 2 Adopters [gr2] : MGr1_Migration10.4 2 2 Average Adopter Fraction: MGr1_Migration12.5 3 3 Adopters [gr3] : MGr1_Migration09.8 3 3 Adopters [gr3] : MGr1_Migration10.4 3 3 Average Adopter Fraction: MGr1_Migration10.0 4 4 Adopters [gr4] : MGr1_Migration09.8 4 4 Adopters [gr4] : MGr1_Migration10.4 4 4 Average Adopter Fraction: MGr1_Migration07.5 5 5 Adopters [gr5] : MGr1_Migration09.8 5 5 Adopters [gr5] : MGr1_Migration10.4 5 5 * Radboud University Nijmegen, the Netherlands, {p.wunderlich, a.groessler, j.vennix}@fm.ru.nl