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Self-Organization, Economics &
Football Managers
Bernard Leong

3 June 2009
Self-Organization                          Long Tail
                Self-Organized Criticality
                      Tipping Point
SOC implies scale invariance and “simple” microscopic
         mechanism leads to an observed macroscopic effect.

                                Earthquakes                    History


        Objects


                                                       Economic, Social &
      Mechanism             Classical Mechanics
                                                       Political Interactions

   Self-Organization       Formation of tectonic       Formation of a social
        Structure                 plates                   hierarchy

       Criticality              Earthquake               Political Change

      Power Law           Plot the frequency of      Plot the frequency of tenures
(Emergent Phenomenon) earthquakes vs Richter scale       vs tenures of leaders
P (t) = At   α


   Measures how volatile the league is,
   i.e. how frequent they fire managers.
Period     Power Law                                     α
    England         1874-2005         ✔                                     -2.23

     France         1928-2003        ×                                      n/a

    Spanish         1910-2003         ✔                                     -2.75

    Germany         1947-2003         ✔                                     -2.51

  All Managers      1874-2005         ✔                                     -2.75

National Coaches    1902-2003         ✔                                     -2.92

American Baseball   1875-2003         ✔                                     -2.63

American Football   1920-2003         ✔                                     -2.08

Japanese Baseball   1936-2003         ✔                                     -2.41

                                 Source: Aidt, Leong, Sgroi, Saslaw, Physica A, 370(2): 697-703
Can we explain this via a
microscopic model?
✤   We initialize 20 managers with two attributes: (1) Reputation and (2)
    Tenure Length.

✤   Use the standard round robin (38 games) with each managers playing
    against each other and a simple scoring system. The principles of
    relegation, “Home” and “Away” apply.

✤   We use a set of criteria to decide how we fire a manager.

✤   Then run it for a hundred years (steady state) and see if we can
    produce the power law distribution relating tenure length and
    frequency.
When do we “fire” a manager?
✤   A manager is fired for poor performance - Firing threshold.

✤   A manager is poached by another club by good performance -
    Poaching threshold

✤   A manager retires due to old age - Ossification threshold

✤   A manager is replaced when the team is relegated in the main league
    after 38 games.
                      You are
                      fired !!!
“Home” & “Away” advantage (Model A)
or Equal Chances (Model B)
“Home” & “Away” advantage (Model A)
or Equal Chances (Model B)
Wage Cap of players
    removed
                        Start of
                      TV coverage
Economics & Football Managers

✤   Competitive market forces might bring
    sports leagues to a point of maximum
    efficiency related to self-organized
    criticality.

✤   Competition is a zero sum game where
    what matters is relative, not absolute
    performance.

✤   The Red Queen Principle: The more
    things change, the more they stay the
    same.

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Self-Organization, Economics & Football Managers

  • 1. Self-Organization, Economics & Football Managers Bernard Leong 3 June 2009
  • 2. Self-Organization Long Tail Self-Organized Criticality Tipping Point
  • 3. SOC implies scale invariance and “simple” microscopic mechanism leads to an observed macroscopic effect. Earthquakes History Objects Economic, Social & Mechanism Classical Mechanics Political Interactions Self-Organization Formation of tectonic Formation of a social Structure plates hierarchy Criticality Earthquake Political Change Power Law Plot the frequency of Plot the frequency of tenures (Emergent Phenomenon) earthquakes vs Richter scale vs tenures of leaders
  • 4.
  • 5.
  • 6. P (t) = At α Measures how volatile the league is, i.e. how frequent they fire managers.
  • 7. Period Power Law α England 1874-2005 ✔ -2.23 France 1928-2003 × n/a Spanish 1910-2003 ✔ -2.75 Germany 1947-2003 ✔ -2.51 All Managers 1874-2005 ✔ -2.75 National Coaches 1902-2003 ✔ -2.92 American Baseball 1875-2003 ✔ -2.63 American Football 1920-2003 ✔ -2.08 Japanese Baseball 1936-2003 ✔ -2.41 Source: Aidt, Leong, Sgroi, Saslaw, Physica A, 370(2): 697-703
  • 8. Can we explain this via a microscopic model? ✤ We initialize 20 managers with two attributes: (1) Reputation and (2) Tenure Length. ✤ Use the standard round robin (38 games) with each managers playing against each other and a simple scoring system. The principles of relegation, “Home” and “Away” apply. ✤ We use a set of criteria to decide how we fire a manager. ✤ Then run it for a hundred years (steady state) and see if we can produce the power law distribution relating tenure length and frequency.
  • 9. When do we “fire” a manager? ✤ A manager is fired for poor performance - Firing threshold. ✤ A manager is poached by another club by good performance - Poaching threshold ✤ A manager retires due to old age - Ossification threshold ✤ A manager is replaced when the team is relegated in the main league after 38 games. You are fired !!!
  • 10. “Home” & “Away” advantage (Model A) or Equal Chances (Model B)
  • 11. “Home” & “Away” advantage (Model A) or Equal Chances (Model B)
  • 12.
  • 13.
  • 14.
  • 15. Wage Cap of players removed Start of TV coverage
  • 16.
  • 17. Economics & Football Managers ✤ Competitive market forces might bring sports leagues to a point of maximum efficiency related to self-organized criticality. ✤ Competition is a zero sum game where what matters is relative, not absolute performance. ✤ The Red Queen Principle: The more things change, the more they stay the same.

Notes de l'éditeur