Existence of pure strategy equilibrium in Bertrand-Edgeworth games with imperfect divisibility of money
This paper incorporates imperfect divisibility of money in a price game where a given number of identical firms produce a homogeneous product at constant unit cost up to capacity. We find necessary and sufficient conditions for the existence of a pure strategy equilibrium. Unlike in the continuous action space case, with discrete pricing there may be a range of symmetric pure strategy equilibria - which we fully characterize - a range which may or may not include the competitive price. Also, we determine the maximum number of such equilibria when competitive pricing is itself an equilibrium.
Volume (Year): 12 (2008)
Issue (Month): 29 ()
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- Roy Chowdhury, Prabal, 2007.
"Bertrand-Edgeworth equilibrium with a large number of firms,"
3353, University Library of Munich, Germany.
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