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A Model of Robust Positions in Social Structure Matt Bothner Edward Bishop Smith Harrison C. White University of Chicago Columbia University
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The Nortons: Spring & Summer 1937
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Alec’s Attack on Long John “He seems to have the Indian sign on me.” -- Long John “It is significant that, in making his challenge, Alec selected Long John instead of Doc, Danny, or Mike. It was not that Long John's bowling ability was uncertain. His average was about the same as that of Doc or Danny and better than that of Mike. As a member of the top group but not a leader in his own right, it was his social position that was vulnerable.” – Whyte
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Methodological Contribution: Using Nutsy’s Descent (Early Spring 1937)
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The Nortons: Spring & Summer 1937
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The Nortons: Early Spring 1937
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[1][2][3][4][5][6][7][8][9][10][11][12][13] [1] Alec0.5.1.5.3.5.1.5 [2] Angelo.50.8.5.9.5.3.8.5 [3] Carl.5 0.1.3.5.3.5.1.5.9 [4] Danny.5 01 1 1 [5] Doc1111011111111 [6] Frank.8.5.3.50.9.3.5.3.5 [7] Fred.5.1.5 0.3.9.1.5 [8] Joe.9.5.1.3.5 0.3.5.1.5 [9] Long John.3.9.3 0.9.3 [10] Lou.5.1.3.5.30.1.5 [11] Mike.5 11 1 0 [12] Nutsy.6.2.4.6.7.4.8.1.4.60.4 [13] Tommy.5.1.5.3.5.1.50 Methodological Contribution: Using Nutsy’s Descent (Early Spring 1937)
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[1][2][3][4][5][6][7][8][9][10][11][12][13] [1] Alec0.5.1.5.3.5.1.5 [2] Angelo.50.8.5.9.5.3.8.5 [3] Carl.5 0.1.3.5.3.5.1.5.9 [4] Danny.5 01 1 1 [5] Doc1111011111111 [6] Frank.8.5.3.50.9.3.5.3.5 [7] Fred.5.1.5 0.3.9.1.5 [8] Joe.9.5.1.3.5 0.3.5.1.5 [9] Long John.3.9.3 0.9.3 [10] Lou.5.1.3.5.30.1.5 [11] Mike.5 11 1 0 [12] Nutsy.6.2.4.6.7.4.8.1.4.60.4 [13] Tommy.5.1.5.3.5.1.50 Methodological Contribution: Using Nutsy’s Descent (Early Spring 1937)
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[1][2][3][4][5][6][7][8][9][10][11][12][13] [1] Alec0.5.1.5.3.5.1.5 [2] Angelo.50.8.5.9.5.3.8.5 [3] Carl.5 0.1.3.5.3.5.1.5.9 [4] Danny.5 01 1 1 [5] Doc1111011111111 [6] Frank.8.5.3.50.9.3.5.3.5 [7] Fred.5.1.5 0.3.9.1.5 [8] Joe.9.5.1.3.5 0.3.5.1.5 [9] Long John.3.9.3 0.9.3 [10] Lou.5.1.3.5.30.1.5 [11] Mike.5 11 1 0 [12] Nutsy.6.2.4.6.7.4.8.1.4.60.4 [13] Tommy.5.1.5.3.5.1.50 Methodological Contribution: Using Nutsy’s Descent (Early Spring 1937)
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[1][2][3][4][5][6][7][8][9][10][11][12][13] [1] Alec0.5.1.5.3.5.1.5 [2] Angelo.50.8.5.9.5.3.8.5 [3] Carl.5 0.1.3.5.3.5.1.5.9 [4] Danny.5 01 1 1 [5] Doc1111011111111 [6] Frank.8.5.3.50.9.3.5.3.5 [7] Fred.5.1.5 0.3.9.1.5 [8] Joe.9.5.1.3.5 0.3.5.1.5 [9] Long John.3.9.3 0.9.3 [10] Lou.5.1.3.5.30.1.5 [11] Mike.5 11 1 0 [12] Nutsy.6.2.4.6.7.4.8.1.4.60.4 [13] Tommy.5.1.5.3.5.1.50 Methodological Contribution: Using Nutsy’s Descent (Early Spring 1937)
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[1][2][3][4][5][6][7][8][9][10][11][12][13] [1] Alec0.5.1.5.3.5.1.5 [2] Angelo.50.8.5.9.5.3.8.5 [3] Carl.5 0.1.3.5.3.5.1.5.9 [4] Danny.5 01 1 1 [5] Doc1111011111111 [6] Frank.8.5.3.50.9.3.5.3.5 [7] Fred.5.1.5 0.3.9.1.5 [8] Joe.9.5.1.3.5 0.3.5.1.5 [9] Long John.3.9.3 0.9.3 [10] Lou.5.1.3.5.30.1.5 [11] Mike.5 11 1 0 [12] Nutsy.6.2.4.6.7.4.8.1.4.60.4 [13] Tommy.5.1.5.3.5.1.50 Methodological Contribution: Using Nutsy’s Descent (Early Spring 1937)
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Nortons’ Status Scores: Early Spring 1937 Alec.67 Angelo1.06 Carl.75 Danny1.23 Doc1.79 Frank.90 Fred.82 Joe.75 Long John.90 Lou.71 Mike1.23 Nutsy.90 Tommy.67 status
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The Nortons: Early Spring 1937
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[1][2][3][4][5][6][7][8][9][10][11][12][13] [1] Alec0.5.1.5.3.5.1.5 [2] Angelo.50.8.5.9.5.3.8.5 [3] Carl.5 0.1.3.5.3.5.1.5.9 [4] Danny.5 01 1 1 [5] Doc1111011111111 [6] Frank.8.5.3.50.9.3.5.3.5 [7] Fred.5.1.5 0.3.9.1.5 [8] Joe.9.5.1.3.5 0.3.5.1.5 [9] Long John.3.9.3 0.9.3 [10] Lou.5.1.3.5.30.1.5 [11] Mike.5 11 1 0 [12] Nutsy.6.2.4.6.7.4.8.1.4.60.4 [13] Tommy.5.1.5.3.5.1.50 Measuring Fragility (and Robustness) simple two-step transformation: normalize each entry by its row sum and square the proportions
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Measuring Fragility (and Robustness) simple two-step transformation: normalize each entry by its row sum and square the proportions [1][2][3][4][5][6][7][8][9][10][11][12][13] [1] Alec0.000.01 0.00 0.01 0.000.010.000.01 [2] Angelo0.010.000.01 0.020.010.000.01 [3] Carl0.01 0.00 0.01 0.000.010.000.010.03 [4] Danny0.00 0.020.00 0.020.000.020.00 [5] Doc0.01 0.000.01 [6] Frank0.020.01 0.000.010.000.010.020.000.010.000.01 [7] Fred0.01 0.000.01 0.000.010.000.030.000.01 [8] Joe0.030.01 0.00 0.01 0.00 0.010.000.01 [9] LongJohn0.00 0.03 0.00 0.030.00 [10] Lou0.01 0.00 0.01 0.00 0.01 [11] Mike0.00 0.02 0.00 0.020.00 [12] Nutsy0.010.00 0.01 0.020.000.020.00 0.010.00 [13] Tommy0.01 0.00 0.01 0.000.010.000.010.00
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Measuring Fragility (and Robustness) [1][2][3][4][5][6][7][8][9][10][11][12][13] [1] Alec0.000.01 0.00 0.01 0.000.010.000.01 [2] Angelo0.010.000.01 0.020.010.000.01 [3] Carl0.01 0.00 0.01 0.000.010.000.010.03 [4] Danny0.00 0.020.00 0.020.000.020.00 [5] Doc0.01 0.000.01 [6] Frank0.020.01 0.000.010.000.010.020.000.010.000.01 [7] Fred0.01 0.000.01 0.000.010.000.030.000.01 [8] Joe0.030.01 0.00 0.01 0.00 0.010.000.01 [9] LongJohn0.00 0.03 0.00 0.030.00 [10] Lou0.01 0.00 0.01 0.00 0.01 [11] Mike0.00 0.02 0.00 0.020.00 [12] Nutsy0.010.00 0.01 0.020.000.020.00 0.010.00 [13] Tommy0.01 0.00 0.01 0.000.010.000.010.00
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Measuring Fragility (and Robustness) [1][2][3][4][5][6][7][8][9][10][11][12][13] [1] Alec0.000.01 0.00 0.01 0.000.010.000.01 [2] Angelo0.010.000.01 0.020.010.000.01 [3] Carl0.01 0.00 0.01 0.000.010.000.010.03 [4] Danny0.00 0.020.00 0.020.000.020.00 [5] Doc0.01 0.000.01 [6] Frank0.020.01 0.000.010.000.010.020.000.010.000.01 [7] Fred0.01 0.000.01 0.000.010.000.030.000.01 [8] Joe0.030.01 0.00 0.01 0.00 0.010.000.01 [9] LongJohn0.00 0.03 0.00 0.030.00 [10] Lou0.01 0.00 0.01 0.00 0.01 [11] Mike0.00 0.02 0.00 0.020.00 [12] Nutsy0.010.00 0.01 0.020.000.020.00 0.010.00 [13] Tommy0.01 0.00 0.01 0.000.010.000.010.00
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Measuring Fragility (and Robustness) [1][2][3][4][5][6][7][8][9][10][11][12][13] [1] Alec0.000.01 0.00 0.01 0.000.010.000.01 [2] Angelo0.010.000.01 0.020.010.000.01 [3] Carl0.01 0.00 0.01 0.000.010.000.010.03 [4] Danny0.00 0.020.00 0.020.000.020.00 [5] Doc0.01 0.000.01 [6] Frank0.020.01 0.000.010.000.010.020.000.010.000.01 [7] Fred0.01 0.000.01 0.000.010.000.030.000.01 [8] Joe0.030.01 0.00 0.01 0.00 0.010.000.01 [9] LongJohn0.00 0.03 0.00 0.030.00 [10] Lou0.01 0.00 0.01 0.00 0.01 [11] Mike0.00 0.02 0.00 0.020.00 [12] Nutsy0.010.00 0.01 0.020.000.020.00 0.010.00 [13] Tommy0.01 0.00 0.01 0.000.010.000.010.00 c is a parameter capturing the coupling of nodes in the network
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Nortons’ Fragility Scores: Autumn 1937 Alec.671.03 Angelo1.06.91 Carl.751.06 Danny1.23.94 Doc1.79.85 Frank.90.97 Fred.821.02 Joe.751.06 Long John.901.17 Lou.71.99 Mike1.23.94 Nutsy.90.99 Tommy.671.03 statusfragility
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The Nortons: Autumn 1937
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Predicting Status Growth in Newcomb’s Fraternity
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