Loading attached doc makes lyx crash
Program received signal SIGABRT, Aborted.
0x4027cae1 in __kill () from /lib/i686/libc.so.6
Current language: auto; currently c
(gdb) bt
#0 0x4027cae1 in __kill () from /lib/i686/libc.so.6
#1 0x4027c8ba in raise (sig=6) at ../sysdeps/posix/raise.c:27
#2 0x4027e062 in abort () at ../sysdeps/generic/abort.c:88
#3 0x082cbe23 in lyx::abort () at abort.C:9
#4 0x0813fddd in Paragraph::layout (this=0x84cc3f0, new_layout=@0xbfffeaa8)
at support/LAssert.h:24
#5 0x080a0adf in Buffer::parseSingleLyXformat2Token (this=0x843b3f8,
lex=@0xbfffee48, par=@0xbfffec90, first_par=@0xbfffeb1c,
token=@0xbfffec28, pos=@0xbfffeb20, depth=@0xbfffeb24, font=@0xbfffec38)
at buffer.C:540
#6 0x0809fb35 in Buffer::readLyXformat2 (this=0x843b3f8, lex=@0xbfffee48,
par=0x84cc3f0) at buffer.C:366
#7 0x080aa9c1 in Buffer::readFile (this=0x843b3f8, lex=@0xbfffee48, par=0x0)
at buffer.C:1577
#8 0x080c053e in BufferList::readFile (this=0x8410680, s=@0xbfffefa8,
ronly=false) at bufferlist.C:424
#9 0x080c1863 in BufferList::loadLyXFile (this=0x8410680,
filename=@0xbffff268, tolastfiles=true) at bufferlist.C:533
#10 0x0810c5a5 in LyXFunc::open (this=0x843d460, fname=@0xbffff528)
at lyxfunc.C:1865
#11 0x081041ea in LyXFunc::dispatch (this=0x843d460, action=LFUN_FILE_OPEN,
argument=0xbffff528) at lyxfunc.C:1312
#12 0x080ffe56 in LyXFunc::verboseDispatch (this=0x843d460,
---Type <return> to continue, or q <return> to quit---
action=LFUN_FILE_OPEN, argument=@0xbffff588, show_sc=true)
at /usr/include/g++-3/std/bastring.h:177
#13 0x080ffd9b in LyXFunc::verboseDispatch (this=0x843d460, ac=462,
show_sc=true) at lyxfunc.C:787
#14 0x0829d1c4 in Menubar::Pimpl::MenuCallback (ob=0x8470d50, button=1)
at Menubar_pimpl.C:586
#15 0x08296db5 in C_Menubar_Pimpl_MenuCallback (ob=0x8470d50, button=1)
at Menubar_pimpl.C:81
#16 0x400af8bf in fl_object_qread () from /usr/X11R6/lib/libforms.so.0.88
#17 0x400bdb79 in fl_check_forms () from /usr/X11R6/lib/libforms.so.0.88
#18 0x082960e1 in GUIRunTime::runTime () at GUIRunTime.C:90
#19 0x080ed334 in LyXGUI::runTime (this=0x842ae40) at lyx_gui.C:315
#20 0x080edf23 in LyX::LyX (this=0xbffff790, argc=0xbffff7f0, argv=0xbffff854)
at ../boost/boost/smart_ptr.hpp:102
#21 0x081327e1 in main (argc=1, argv=0xbffff854) at ../src/main.C:38
#22 0x4026a627 in __libc_start_main (main=0x8132684 <main>, argc=1,
ubp_av=0xbffff854, init=0x804f74c <_init>, fini=0x8378490 <_fini>,
rtld_fini=0x4000dcc4 <_dl_fini>, stack_end=0xbffff84c)
at ../sysdeps/generic/libc-start.c:129
#LyX 1.2 created this file. For more info see http://www.lyx.org/
\lyxformat 220
\textclass foils
\begin_preamble
\MyLogo{}
\date{}
\end_preamble
\language dutch
\inputencoding auto
\fontscheme default
\graphics default
\paperfontsize default
\spacing single
\papersize a4paper
\paperpackage widemarginsa4
\use_geometry 0
\use_amsmath 1
\use_natbib 0
\use_numerical_citations 0
\paperorientation portrait
\secnumdepth 3
\tocdepth 3
\paragraph_separation indent
\defskip medskip
\quotes_language english
\quotes_times 2
\papercolumns 1
\papersides 1
\paperpagestyle default
\layout Title
H19: Onvolkomen mededinging
\layout Itemize
Prijzen in homogeen oligopoly
\layout Itemize
Product differentiatie
\layout Itemize
Toetreding
\layout ShortFoilhead
Prijzen in homogeen oligopoly
\layout Standard
\begin_inset Formula $\partial q_{j}/\partial q_{i}\neq 0$
\end_inset
\layout Standard
\begin_inset Formula \[
\pi _{i}=P(Q)\cdot q_{i}-C\]
\end_inset
\layout Standard
\begin_inset Formula \[
\frac{\partial \pi _{i}}{\partial q_{i}}=P+q_{i}\left(\frac{\partial P}{\partial q_{i}}+\sum _{j\neq i}\frac{\partial P}{\partial q_{j}}\frac{\partial q_{j}}{\partial q_{i}}\right)-MC=0\]
\end_inset
\layout ShortFoilhead
quasi competitief model
\layout Standard
producenten nemen prijzen als gegeven
\layout Standard
dit zorgt er voor dat producent
\begin_inset Formula $i$
\end_inset
produceert totdat:
\begin_inset Formula \[
MC_{i}(q_{i})=P\]
\end_inset
\layout Standard
met als gevolg dat de competitieve output bereikt wordt
\layout ShortFoilhead
Kartel
\layout Standard
een kartel optimaliseert
\layout Standard
\begin_inset Formula \[
\pi =P(Q)\cdot Q-\sum _{i=1}^{n}TC_{i}(q_{i})\]
\end_inset
\layout Standard
waar
\begin_inset Formula $Q=\sum _{i=1}^{n}q_{i}$
\end_inset
.
Eerste orde voorwaarde
\begin_inset Formula \begin{eqnarray*}
\frac{\partial \pi }{\partial q_{i}} & = & P+Q\frac{\partial P}{\partial q_{i}}-MC_{i}(q_{i})=0\\
& = & MR(Q)-MC_{i}(q_{i})=0
\end{eqnarray*}
\end_inset
\layout Standard
Als een monopolie met meerdere fabrieken.
Winst is maximaal.
\layout Standard
Kartels zijn mogelijk i) illegaal, ii) moeilijk implementeerbaar vanwege
informatieproblemen, en iii) onstabiel.
\layout ShortFoilhead
Cournot model
\layout Standard
\begin_inset Formula \[
\pi _{i}=P(Q)\cdot q_{i}-TC_{i}(q_{i})\]
\end_inset
\layout Standard
acties van andere producenten gegeven verondersteld:
\begin_inset Formula $q_{i}$
\end_inset
beinvloed
\begin_inset Formula $q_{j}$
\end_inset
\begin_inset Formula $j\neq i$
\end_inset
niet:
\begin_inset Formula \[
\partial q_{j}/\partial q_{i}=0\]
\end_inset
De 1e ordevoorwaarde is nu
\begin_inset Formula \[
\frac{\partial \pi _{i}}{\partial q_{i}}=P+q_{i}\frac{\partial P}{\partial q_{i}}-MC_{i}(q_{i})\]
\end_inset
\layout Standard
\begin_inset Formula $MR$
\end_inset
is hier kleiner dan in het kartel want
\begin_inset Formula $P+q_{i}P'>P+QP'$
\end_inset
en als
\begin_inset Formula $MC$
\end_inset
stijgend is dan is de output hier groter dan in het kartel model,
\layout Standard
Productie is lager dan in het competitieve model want
\begin_inset Formula $P+qP'<P$
\end_inset
.
\layout Standard
Naarmate er meer producenten komen zal de term
\begin_inset Formula $qP'$
\end_inset
naar nul gaan en convergeert de productie naar het efficiente niveau.
\layout ShortFoilhead
Conjectureal variations model
\layout Standard
acties van andere producenten niet langer als gegeven verondersteld:
\begin_inset Formula $q_{i}$
\end_inset
beinvloed
\begin_inset Formula $q_{j}$
\end_inset
\begin_inset Formula $j\neq i$
\end_inset
:
\begin_inset Formula \[
\partial q_{j}/\partial q_{i}\neq 0\]
\end_inset
\layout Standard
\begin_inset Formula \[
\pi _{i}=P(Q)\cdot q_{i}-C\]
\end_inset
\layout Standard
\begin_inset Formula \[
\frac{\partial \pi _{i}}{\partial q_{i}}=P+q_{i}\left(\frac{\partial P}{\partial q_{i}}+\sum _{j\neq i}\frac{\partial P}{\partial q_{j}}\frac{\partial q_{j}}{\partial q_{i}}\right)-MC=0\]
\end_inset
\layout Standard
De uitkomsten van een analyse van dit model hangt af van de aannames over
\begin_inset Formula $\partial q_{j}/\partial q_{i}$
\end_inset
.
\layout Standard
Dit soort soort strategische interactie modellen worden in het algemeen
mbv speltheoretische technieken geanalyseerd.
\layout ShortFoilhead
Prijsleider
\layout Standard
\begin_inset Graphics FormatVersion 1
filename 19-1.eps
display default
size_type 2
scale 80
rotateOrigin center
lyxsize_type 0
\end_inset
\layout ShortFoilhead
Differentiatie via locatie
\layout Standard
\begin_inset Graphics FormatVersion 1
filename 19-2.eps
display default
size_type 2
scale 60
rotateOrigin center
lyxsize_type 0
\end_inset
\layout
\begin_inset Formula \[
P_{A}+cx=P_{B}+cy\]
\end_inset
\begin_inset Formula \[
a+b+x+y=L\]
\end_inset
\begin_inset Formula \begin{eqnarray*}
x & = & ((P_{B}-P_{A})/c+L-a-b)/2\\
y & = & ((P_{A}-P_{B})/c+L-a-b)/2
\end{eqnarray*}
\end_inset
\begin_inset Formula \begin{eqnarray*}
\pi _{A}=P_{A}(a+x) & en & \pi _{B}=P_{B}(b+y)
\end{eqnarray*}
\end_inset
\begin_inset Formula \begin{eqnarray*}
\frac{\partial \pi _{A}}{\partial P_{A}} & = & (a+x)-P_{A}/2c=0\\
\frac{\partial \pi _{B}}{\partial P_{B}} & = & (b+y)-P_{B}/2c=0
\end{eqnarray*}
\end_inset
\begin_inset Formula \begin{eqnarray*}
P_{A}=c(L+(a-b)/3) & en & P_{B}=c(L-(a-b)/3)
\end{eqnarray*}
\end_inset
\layout ShortFoilhead
Toetreding
\the_end
