Existence of pure strategy equilibria in Bertrand-Edgeworth games with imperfect divisibility of money
Massimo De Francesco ()
MPRA Paper from University Library of Munich, Germany
Abstract:
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, under 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.
Keywords: Bertrand-Edgeworth competition; Price game; Oligopoly; Pure strategy equilibrium; Discrete pricing (search for similar items in EconPapers)
JEL-codes: C72 D43 L13 (search for similar items in EconPapers)
Date: 2008-09-29
New Economics Papers: this item is included in nep-com, nep-gth and nep-mic
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Journal Article: Existence of pure strategy equilibrium in Bertrand-Edgeworth games with imperfect divisibility of money (2008) 
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Persistent link: https://EconPapers.repec.org/RePEc:pra:mprapa:10826
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