Althoughingeneralallsupplierswillbenetfromraisingtheirprices,given
asmallenoughmarketsharemaybenetfromloweringtheirlowestbid,be
itnotacceptedoronlypartiallyaccepted,inordertounderbidacompetitor
andthus replacethecompetitor'ssaleswithhisown.
Therecan,however,neverbeanoptimalstrategyinthecommoninterests
ofallsupplierstolowerthepricesinordertoexpandthemarket,giventhe
steepformofthedemandcurve.
1
Ascanbeseeningure9.3whichshows
theSwedish market, in theearly morning of Monday, February 10, 2003,
selling more will always reduce the total income from sales. The curves
showthetotalincomefromtheSwedish marketwhendierentvolumesof
electricityaresoldatthemarketbySwedishproducers. Theuppercurveis
whenthereisnocheapforeignimportandthelowercurveiswhenforeign
incomepours into the Swedish market causing lowerprices. However, in
bothcases,theincomewill alwaysdiminishwhen moreis soldandat the
sametime, costwill increase,sothetotalprotwilldropevenfaster than
isdemonstrated in thegure. Theequilibriasales arebetween20and 25
GWh andyield farless protto powergeneratorsthanif nocompetition
wastaking placeinSweden.
Figure 9.4showsthedemand curveof theFinnishmarket. Ifthepriceis
at `Price1',the totalincomefrom sales onthemarket willbethe sizeof
boxesA + B. However,if the priceis reduced to `Price2', the the total
incomebecomesA+C.UnderallcircumstancesboxCseemstobesmaller
thanboxB,andthusthetotalincomedropswithlowerprices. Inaddition,
thetotalcostishigherat`Price2'than`Price1',ensuringthefollyoflow
pricesfortheproducers.
Lowering prices to just under the highest accepted bid of a competitor
can be an optimal strategy when there are strict limitations on how the
supply curvemay be manipulated,as increasingthe pricessuciently to
prot more, may not be legal. Consequently the limitations to the
be-haviorof playerscontribute tothe complexityof thecalculations,instead
ofsimplifyingthem.
Inanormalmarkettherecanbetwomotivesforloweringpricesandonefor
increasingprices. Motivesforloweringpricesare: togainmarketshareand
to increasethesize of themarket. Of these, onlythe formerseemsto be
validontheelectricitymarket,duetoinelasticdemand. Andthemotivefor
increasingthepricescanonlybetoincreaseprot,despitealowermarket
1
With the possible exceptionof eastern Denmarkinextreme cases, asimportcan
0 1 2 3 4 5 6
Income when full import Income when no import
Maximum import to Sweden
Equilibrium when no import Equilibrium when full import
Figure9.3: Totalhourlyincomefromsalesin Sweden
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2
shareandasmallermarket.Havingthuslimitedthefactorsthatinuence
theoptimalstrategyofeachplayer,theproblemshould simpler.
However,asallelectricityproducersincertainareas(hopefully)donotact
in unison to provide themselveswith amonopolistic prot,but are likely
to compete, the strategy of raising prices or withholding production for
players,especially those with smallmarket share, isnot necessarily
prof-itable. Thisiswhythereisusuallysomecompetition,evenonmarketswith
few competitors, although the competition may sometimes seem limited.
MonopolyisusuallynotaNashequilibriumunlesswithonlyoneplayer.
Chapter 10
Market power on Nord
Pool's spot market
10.1 Who could be using market power?
Market power has its price. When someone exercises market power, he
does so in order to increase prices, but at the cost of sales. Thus, the
useof market powerinvolvessacrices. Inorder forthese sacricesto be
worthwhiletheeortandifprotistobeincreased,enoughmarketshare,
ormerelysales,mustremaintoovercomethesalesloss.
∆y × (x + ∆x) + y × ∆x +
Z x+∆x
x S (x) dx ≥ 0
(10.1)In the above formula,
x
andy
respectively are the actual volume sold and theprice, before the useof market powerandS (x)
is thesupply orproductioncostfunction.
∆x
and∆y
arethedierenceinsales andpricewhen market power is used.
∆x
would be negative as less is sold, but∆y
positive asthepricewill rise. Therst component ofthe equationisthe increased revenue due to higher prices,the second component is lost
revenue due to less sales, and the third component, the integral, is the
saving in production cost due to less sales. If the sum of these items is
forthe playerin question. In gure9.4the incomepartis explainedand
equation10.1mayberewrittenasfollows:
area
B −
areaC +
savingofproductioncost≥ 0
(10.2)Asy,
∆y
and∆x
willbethesameforallplayers,thesizeofx
willdetermineforwhichplayerswillberewardedbytheuseofmarketpower.
To be able to use market power, the players must be able to inuence
prices. Inordertodoso,
∆x
mustbelargeenough. Sometimesthehighestacceptedbidislargeandonlypartiallyaccepted. Thus,
∆x
mustbelargerthanthe unacceptedpartof thehighestacceptedbid aswell asless than
theprevioussales
x
.Theconclusionis thatonly bigproducersare likelyto benet fromusing
marketpower.