Economics at your fingertips  

Dynamics of mergers, bifurcation and chaos: A new framework

Partha Gangopadhyay ()

Physica A: Statistical Mechanics and its Applications, 2014, vol. 403, issue C, 293-307

Abstract: This paper is motivated by a gap in the existing literature on mergers since no attempt has been successfully made to consider endogenous multiple mergers that trigger reciprocal mergers, which in turn fuel further mergers and the process continues ad infinitum. The precise contribution of this paper is to model endogenous mergers such that groups of firms simultaneously decide whether to merge, or not, when their rivals decide to merge. We call this type of mergers endogenously-driven-reciprocal (EDR) mergers. We develop a framework to examine endogenously-driven-reciprocal mergers to establish that fluctuations in merger activities can be explained in a purely endogenous manner, without resorting to any ad hoc stochastic specifications. Our principal finding therefore is that complicated random looking sequences of mergers and merger waves might even prevail in deterministic models, under a reasonable condition. We then extend the model to include U-shaped cost functions and non-pecuniary goals of managers to establish the existence of multiple merger equilibria, which can cause a serious indeterminacy, historical lock-in and path dependency in the context of endogenously-driven-reciprocal mergers. We further show how multiplicity of merger equilibrium and bifurcations of these equilibria can lend fragility to the industrial system.

Keywords: Reciprocal mergers; Endogenous mergers; Multiple Nash equilibria; Chaos; Bifurcation; Extremal equilibria (search for similar items in EconPapers)
Date: 2014
References: View references in EconPapers View complete reference list from CitEc
Citations: Track citations by RSS feed

Downloads: (external link)
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link:

DOI: 10.1016/j.physa.2014.02.024

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Haili He ().

Page updated 2020-08-25
Handle: RePEc:eee:phsmap:v:403:y:2014:i:c:p:293-307