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:-.,  ■■«* 


BEBR 

FACULTY  WORKING 
PAPER  NO.  1226 


THE  LIBRARY  OF  THE 

APR  1  o  1986 
UNIV.  OF  ILLINOIS 

MOBIUS  —  A  Procedure  for  Identifying 
Mobility  Barriers  Based  on  Dynamic 
Strategic  Grouping  Analysis 

D.  Sudharshan 
Howard  Thomas 
Avi  Fiegenbaum 


College  of  Commerce  and  Business  Administration 
Bureau  of  Economic  and  Business  Research 
University  of  Illinois,  Urbana-Champaign 


BEBR 


FACULTY  VORKING  PAPER  NO.  1226 
College  of  Commerce  and  Business  Administration 
University  of  Illinois  at  Ur bana -Champa i gn 
February  1986 


M0BIUS--A  Procedure  for  Identifying  Mobility  Barriers  Based 
on  Dynamic  Strategic  Grouping  Analysis 


D   Sudharshan,  Assistant  Professor 
Department  of  3usiness  Administration 

Howard  Thomas,  Professor 
Department  of  Business  Administration 

Avi  Fiegenbaum,  Assistant 
Department  of  Business  Administration 


ABSTRACT 

The  Mobility  Barriers  Paradigm  has  strongly  influenced  much  recent 
work  in  strategic  management  research,  particularly  that  of  strategic 
group  research.   In  this  note  we  propose  a  procedure  that  enables  the 
identification  of  those  variables  that  act  as  mobility  barriers  in  an 
industry.   We  also  propose  a  classification  of  mobility  barriers  based 
on  the  degree  of  observed  mobility  and  the  extent  to  which  change  is 
desired  on  these  variables.   Our  procedure  is  demonstrated  in  the  con- 
text of  the  pharmaceutical  industry. 


MOBIUS — A  Procedure  for  Identifying  Mobility  Barriers  Based  on 
Dynamic  Strategic  Grouping  Analysis 


Int  roduct ion : 


The  concept  of  strategic  groups  has  become  an  important  unit  of 
analysis  in  developing  theories  of  competition  in  the  field  of  strate- 
gic management.   The  commonly  accepted  definition  of  a  strategic 
group,  due  to  Porter  (1980:  129),  states  that  "a  strategic  group  is 
the  group  of  firms  in  an  industry  following  the  same  or  a  similar 
strategy  along  the  strategic  dimensions."   McGee  and  Thomas  (1986) 
provide  a  thorough  review  of  both  the  conceptual  framework,  and  current 
research  work  in  this  area  while  Harrigan  (1985)  proposes  the  applica- 
tion of  clustering  procedures  for  strategic  group  analysis  using  the 
"Mobility  Barriers  Paradigm"  (p.  56).   To  quote  Harrigan  (1985,  p.  57) 
"Mobility  Barriers  are  structural  factors  that  protect  successful 
firms  from  invasions  by  adjacent  competitors  (Caves  and  Porter,  1977). 
They  are  internal  (to  the  industry)  entry  barriers  which  delineate 
boundaries  between  different  strategic  groups,  and  they  may  be  con- 
trasted with  the  external  entry  barriers  discussed  in  traditional  eco- 
nomic theory  which  deter  outside  firms  from  entering  any  part  of  the 
industry  (Harrigan,  1981)."   Further,  according  to  both  Harrigan 
(1985)  and  McGee  and  Thomas  (1986),  it  is  important  not  only  to  iden- 
tify the  presence  of  inter-group  mobility  barriers,  but  also  to  exam- 
ine how,  and  to  what  extent,  these  barriers  influence  competitive 
activity. 

Several  strategic  grouping  studies  (e.g.,  Dess  and  Davis  (1984)) 
have  used  cluster  analysis  to  form  strategic  groups.   Typically, 
cluster  analysis  leads  to  the  development  of  strategic  groups  by 


-2- 

grouping  Che  companies  in  an  industry  based  on  their  "scores"  on  a  set 
of  important  strategic  variables.   However,  such  grouping  for  any  one 
time  period  does  not  in  itself  provide  sufficient  Information  to 
either  identify  the  strategic  variables  that  act  as  barriers  to  inter 
group  mobility  or  to  infer  the  heights  of  such  barriers.   This  is 
because  no  information  is  provided  by  such  a  single  period  grouping 
about  movement  between  groups  (which  clearly  requires  at  least  two 
grouping  periods). 

Therefore,  this  note  presents  a  procedure  for  identifying  the 
strategic  variables  that  act  as  mobility  barriers  in  an  industry.   The 
discussion  of  the  procedure  and  its  rationale  is  followed  by  an  appli- 
cation of  this  procedure  to  the  pharmaceutical  industry.   This  proce- 
dure is  called  MOBIUS — an  acronym  for  Mobility  Barriers  Identif ication 
Using  Strategic  Grouping. 

The  MOBIUS  Procedure 

The  essential  idea  behind  MOBIUS  is  very  simple.   Its  objective  is 
to  identify  strategic  variables  that  act  as  barriers  to  movement  of 
companies  from  one  strategic  group  to  another.   If  a  mobility  barrier 
is  defined  in  terms  of  certain  strategic  variables,  then  there  should 
be  very  little  shift  in  the  structure  (group  membership  and  number  of 
groups)  of  strategic  groups  (characterized  by  these  variables)  over 
time.   On  the  other  hand,  if  another  set  of  strategic  variables  is  not 
a  mobility  barrier,  then,  considerable  shifting  in  strategic  group 
structure  over  time,  is  a  likely  occurrence.   However,  it  is  also 
possible  that  little  or  no  shift  in  group  structure  may  be  observed 
for  a  certain  set  of  factors  (variables)  because  there  is  no  motivation 


-3- 

on  the  part  of  companies  to  change  group  affiliations  by  framing  stra- 
tegic policy  shifts  in  terms  of  these  variables.   While  this  may  hap- 
pen, we  still  define  any  such  set  of  variables  as  a  mobility  barrier. 
Figure  1  provides  a  simple  diagram  of  the  possible  combinations  of 
observed  structural  change  and  desire  to  change.   The  case  just 
discussed  is  identified  as  Mobility  Barrier  (Type  B)  in  this  figure 
(that  is,  Low  Density  to  Change,  Low  Observed  Structural  Changes). 
Mobility  Barrier  (Type  A)  involves  those  sets  of  variables  which  pro- 
vide strong  barriers  but  also  strong  motivations  for  a  company  to 
change  group  affiliations.   Clearly,  the  mobility  barriers  A  and  B  are 
quite  different  in  character.   For  example,  considering  Type  B,  it  is 
unlikely  that  significant  structural  changes  in  strategic  groups  will 
involve  variables  which  companies  perceive  to  have  little  or  no  influ- 
ence on  their  desire  to  change  group  affiliations.   Thus  it  is  perhaps 
quite  safe  to  say  that  those  strategic  variables  which  lead  to  con- 
siderable structural  shifts  are  those  in  the  left  hand  upper  quadrant 
of  Figure  1  (on  which  better  company-environment  fits  are  obtainable 
by  such  shifts). 

The  MOBIUS  procedure  defines  a  measure  of  structural  change  which 
uses  the  output  of  strategic  grouping  analyses  undertaken  for  dif- 
ferent time  periods.   An  index  called  a  "Match  Ratio"  (MR)  captures 
structural  change  and  its  rationale  is  explained  below.   (Table  1 
shows  the  computational  formula  for  this  index.) 


Insert  Table  1  about  here 


Consider  a  comparison  between  strategic  groups  for  two  time 
periods,  T  and  T9.   Let  there  be  m  strategic  groups  in  period  T   and 
n  strategic  groups  in  period  T_.   If  the  same  companies  belong  to  the 
same  groups  in  both  time  periods  (and,  therefore,  m=n)  then  there  is 
no  mobility  between  these  two  time  periods  (i.e.,  no  change  in  group 
structure  or  membership).   If  either  m  is  very  different  from  n,  or  if 
there  are  considerable  differences  in  group  membership  between  the  two 
time  periods,  then  there  is  relatively  high  mobility  between  the  two 
time  periods,  and  the  corresponding  MR  is  high.   The  entry  corresponding 
to  row  i  and  column  j,  in  Table  1,  is  the  number  of  companies  that  were 
in  group  i  in  period  T,  which  moved  together  to  group  j  in  period  T„. 
Clearly  if  the  oil-diagonal  entries  of  this  table  all  have  zeros,  then 
there  is  a  perfect  match  between  groupings  in  the  periods  T  and  T  . 
If,  on  the  other  hand,  all  the  diagonal  entries  are  zeros,  it  is 
implied  that  no  group  retains  the  same  members.   The  MR  corresponding 
to  this  condition  is  0.   The  MR  corresponding  to  perfect  match  between 
T   and  T?  is  1.   All  other  realizations  of  Table  1  will  result  in  MR 
between  0  and  1.   Thus  the  index  MR  is  bounded  between  0  and  I,  and 
increasing  mismatch  between  groups  gives  rise  to  higher  off-diagonal 
entries  which  in  turn  leads  to  higher  MR.   It  is,  therefore,  an  ele- 
gant and  informative  index  of  mobility.   This  index  would  thus  allow 
the  comparison  of  observed  mobility  (or  immobility)  on  different  sets 
of  strategic  variables.   Mobility  barrier  strategic  variables  may  thus 
be  identified. 

The  complete  MOBIUS  procedure  consists  of  the  following  steps 

1)  Identification  of  relevant  sets  of  strategic  variables. 

2)  Identifying  companies  constituting  the  industry  under  study. 


-5- 

3)  Obtaining  appropriate  measures  for  each  company  for  all  relevant 
strategic  variables  across  time. 

4)  Forming  strategic  groupings  for  each  time  period  for  every  set  of 
strategic  variables. 

5)  Computing  the  MR  for  each  pair  of  consecutive  time  periods  for 
every  set  of  strategic  variables. 

6)  Inferring  of  Mobility  Barriers  from  the  MR  results. 

7)  Obtaining  industry  expert  opinions  to  throw  light  upon  the 
differences  between  Type  A  and  Type  B  Mobility  Barriers. 

This  procedure  is  demonstrated  for  the  pharmaceutical  industry. 

Empirical  Example:   Pharmaceutical  Industry 

The  strategic  variables  considered  here  encompass  both  scope  and 
resource  deployment  activities.   These  variables  constitute  a  union  of 
those  typically  used  to  capture  strategic  behavior  in  the  strategic 
management  literature.   The  details  of  the  extensive  procedure 
involved  in  choosing  these  variables  is  described  in  Sudharshan, 
Thomas,  and  Fiegenbaum  (1985). 

A  total  of  22  companies,  representing  90  percent  of  the  sales  in 
this  industry  were  selected.   Data  were  obtained  on  Marketing  Stra- 
tegy, Financial  Strategy,  Production  Strategy,  and  Scope  variables  for 
the  22  companies  for  the  period  1974-1980  from  COMPUSTAT®  tapes. 
(Descriptions  of  the  specific  variables  chosen  are  shown  in  Table  2.) 


Insert  Table  2  about  here 


For  each  variable  type  (i.e.,  Marketing,  Financial,  Production 
Strategy  and  Scope)  MRs  were  computed  between  strategic  groups 


-6- 


(obtained  by  cluster  analysis,  as  in  Harrigan  (1985))  for  every  pair 
of  adjacent  years.   These  MRs  are  shown  in  Table  3.   From  this  table 


Insert  Table  3  about  here 


it  is  evident  that  there  is  considerable  stability  in  strategic 
grouping  structure,  in  terms  of  Scope  (MR=0.97)  and  Financial  Strategy 
(MR=0.93)  variables.   On  the  other  hand,  the  strategic  group  struc- 
tures based  up  on  Marketing  Strategy  variables  (average  MR=0.54,  mini- 
mum MR=0.36,  maximum  MR=0.81),  and  Production  Strategy  variables 
(average  MR=0.64,  minimum  MR=0.31,  maximum  MR=0.81)  change  con- 
siderably.  Thus  it  appears  that  Scope  and  Financial  Strategy 
variables  act  as  mobility  barriers  in  this  industry,  whprpa1?, 
Marketing  and  Production  strategy  variables  do  not. 

Discussion: 

The  foregoing  example  illustrated  the  first  six  steps  of  the  MOBIUS 
procedure.   Thus,  Scope  and  Financial  strategy  were  identified  as 
mobility  barriers.   It  is  not  clear  based  solely  on  this  data  whether 
these  are  Type  A  or  Type  B  mobility  barriers.   Expert  opinion  should 
enrich  the  identification  of  the  nature  of  individual  mobility 
barriers.   Further,  the  same  variable  set  may  be  a  Type  A  barrier  for 
some  companies  and  Type  B  for  others.   Thus  even  more  detailed  analy- 
sis would  be  necessary.   However,  in  spite  of  the  absence  of  the 
seventh  step  of  the  MOBIUS  procedure,  our  illustration  demonstrates 
its  usefulness  in  analytically  identifying  mobility  barriers  in  an 
industry. 


-7- 

In  addition,  the  fact  that  considerable  inter-group,  inter- 
temporal mobility  is  noticed  tor  the  Marketing  and  Production  strategy 
variables,  is  important  for  a  planner  in  this  industry.   The  time 
horizon  for  monitoring  and  forecasting  competitive  strategic  changes 
in  terms  of  these  dimensions  should  be  shorter  than  for  mobility 
barrier  variables. 

It  should  be  noted  that  the  MOBIUS  procedure  does  not  formally 
provide  for  a  measurement  of  the  "height"  of  the  mobility  barriers. 
However,  we  suggest  that  this  height  not  be  measured  as  the  distance 
between  strategic  group  boundaries  in  the  metric  (or  measurement  spa- 
ce) used  for  clustering.   We  recommend  that  this  distance  be  converted 
into  an  effort  or  cost  measure  (at  least  for  the  Type  A  barriers,  for 
the  Type  B  ones,  of  course,  this  measure  is  of  no  immediate  conse- 
quence).  This  would  make  (a)  mobility  barrier  heights  on  different 
barriers  comparable,  and  (b)  allow  serious  consideration  of  the  feasi- 
bility of  the  scaling  of  such  barriers  by  particular  companies. 

In  conclusion,  the  MOBIUS  procedure,  by  providing  an  analytical 
approach  to  identifying  mobility  barriers  in  an  industry  is  likely  to 
be  useful  (a)  to  practitioners  in  understanding  their  environment  and 
in  planning  and  (b)  to  academic  scholars  interested  in  empirically 
validating  theories  of  competitive  strategies  within  the  paradigm  of 
strategic  grouping  (mobility  barriers).   We  also  hope  that  this  proce- 
dure will  spark  some  new  testing  of  theoretical  insights  such  as,  for 
example,  the  relationship  between  the  number  and  types  of  mobility 
barriers  and  industry  life  cycles. 


-8- 


Ref erences 


Caves,  R.  E. ,  and  Porter,  M.  E. ,  "From  Entry  Barriers  to  Mobility 
Barriers,"  Quarterly  Journal  of  Economics,  1977,  May,  241-262. 

Dess,  G.  G.  ,  and  Davis,  P.  S.  ,  "Porter's  (1980)  Generic  Strategies  as 
Determinants  of  Strategic  Group  Membership  and  Organizational 
Performance,"  Academy  of  Management  Journal,  1984,  September, 
467-488. 

Harrigan,  K.  R. ,  "Barriers  to  Entry  and  Competitive  Strategies," 
Strategic  Management  Journal,  1981,  3,  395-412. 

Harrigan,  K.  R. ,  "An  Application  of  Clustering  for  Strategic  Group 
Analysis,"  Strategic  Management  Journal,  1985,  6,  55-73. 

McGee,  J.,  and  Thomas,  H. ,  "Strategic  Groups:   Theory,  Research  and 
Taxonomy,"  forthcoming  in  Strategic  Management  Journal  (1986). 

Porter,  M.  E. ,  Competitive  Strategy,  New  York:   Free  Press,  1980. 

Sudharshan,  U. ,  Thomas,  H. ,  and  Fiegenbaum,  A.,  "Strategic  Time 

Periods  and  Strategic  Groups  Research:   Concepts  and  an  Empirical 
Example,"  Working  Paper,  University  of  Illinois,  Urbana-Champaign, 
1985. 


D/321 


Table  I:   Match  Ratio  Computation 


Period  T?  Groups 


Period  T, 
Groups 


I 

2 

j 

n 

Total 

1 

l'n 

r 

12 

— C. 
In 

Nn 

2 

c2i 

C22 

— C- 

2n 

N12 

Nli 

• 

• 

1    i 

n 

Vj  .  . 

• 

• 

m 

c™i 

cm2— 

C 

mn 

Nlm 

Total 

N21 

N22 

N2, 

2n 

N 

c.  . 


'li 


'2.1 


number  of  companies  that  belong  to  group  _i  in  Period  T.  and 
group  1  in  Period  T2.  — 

total  number  of  companies  belonging  to  group  i  in  Period  T., 

total  number  of  companies  belonging  to  group  j  in  Period  T?, 


m 


the  total 


(1)   Z  N    =   E  N2.  =  N  (number  of). 
i=l      j=l         companies 


(2)   EN,.*   E  \„ .   means  that  at  least  one  new  company  has  entered 
•  i  J-1    ■  i  2i  .  , 

1=1      j=i      or  exited  the  mdutry. 


m    n 
E    E 


MR  = 


1=1  1=1  i.i 


l/2(  E  N. .  +   E  N_ .) 


TABLE  2:   STRATEGIC  VARIABLES  AND  MEASURES 


Variable 


Abbreviation 


Measurement 


Units 


A)  Scope* 

(VI)  Asset  ASS 

(V2)  Sales  SLS 

(V3)  Advertising  ADV 

(V4)  R&D  RD 

(V5)  Inventory  INV 

B)  Resource  deployment 
1)  Finance 

(V6)  Current  ratio  CR 

(V7)  Ouick  ratio  QR 

(V8)  Dividend  payout  DP 
ratio 


(V9)  Time  interest     TIE 
earned 
(ViO)  Debt  equity       DE 
ratio 

2)  Production 

(Vll)  Capital 

intensity 
(V12)  R&D  intensity 
(V13)  Inventory 

intensity 
(V14)  Cost 

efficiency 

3)  Marketing 

(V15)  Receivable        RSI 

intensity 
(V16)  Advertising       ADI 

intensity 
(V17)  R&D  intensity     RDI 


CI 

RDI 

INVI 

CE 


Gross  book  value  of  fixed  asset  $ 

Firm's  total  sales  $ 

Firm's  total  advertising  $ 

expenditure 

Firm's  total  R&D  expenditure  $ 

Firm's  total  inventory  level  $ 


Current  assets  over  current 
liabilities 

(Cash  and  short  term  recs)  over 
current  liability 

(Preferred  and  common  dividend) 
over  income  before  extra- 
ordinary items  and  discontinued 
operations 

Operating  income  before  depre- 
ciation over  interest  expense 

Debt  over  equity 


Invested  capital  dollars  over 

sales  dollars 
R&D  dollars  over  sales  dollars 
Inventory  dollars  over  sales 

dollars 
Cost  of  goods  sold  over  sales 


Receivable  dollars  over  sales 

dollars 
Advertising  dollars  over  sales 

dollars 
R&D  dollars  over  sales  dollars 


*The  scope  variables  are  deflated  for  inflation.  These  deflators 
were  taken  from  Business  Statistics  1981  for  producer  prices  in  drugs 
industry. 


Table  3:   Match  Ratio  by  Strategic  VariabLes  Type 


Strategic 

Variables  Aver. 


Type 74/75    75/76    76/77    77/78    78/79   79/80    80/81  (Min.-Max.) 

Finance       L.O     .95     .95     .95     .81     .86     .90 
Production     .31     .54     .72     .72     .63     .81     .81 


Marketing      .81    .59     .40     .40     .36     .54    .50 
Scope         1.0     .90     .95    1.0     0.94    1.0    1.0 
Overall        .95    .72     .95    1.0     1.0     1.0     .90 


(. 

,81-1 
.64 

.0) 

(. 

.31-. 1 
.51 

3D 

( 

,36-J 

.97 

31) 

( 

.90-1 
.93 

.0) 

(.72-1.0) 


MR  »  1  •*■   no  mobility  *  perfect  stability 

MR  =  0  *  full  mobility  ■*■  perfect  instability 


Figure  1:   Mobility  and  Desire  to  Change 


Desire  to  Change 


Observed 

Structural 

Change 


High 

Low 

High 

Not 
Barrier 

Not 

Barrier 
(Unlikely 
to  occur) 

Low 

Mobility 

Barrier 

(A) 

Mobilit 

Mobi lity 

Barrier 

(B) 

y  Barriers 

FIGURE  2  :  MOBILITY  BARRIERS 


1.2  T 


0.8 

MATCH  RATIO      0.6 
0.4  .. 
0.2  .. 


♦-  FINANCE 
>  PRODUCTION 
»•  MARKETING 
a-  SCOPE 


7475    7576    7677    7778    7879    7980    808 
YEAR  PAIRS 


HECKMAN 


JUN95 

B—J.T..PI™/  N  MANCHfcSTER 
HWANA  46962