Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/4951
Title: Merger dynamics in three-agent games
Authors: Rador, Tonguç
Derici, R.
Keywords: Analytical solutions
Self-similar
Single parameter
Mergers and acquisitions
Issue Date: Sep-2011
Publisher: Springer Verlag
Source: Rador, T., and Derici, R. (2011). Merger dynamics in three-agent games. European Physical Journal B, 83(2). 289-299. doi:10.1140/epjb/e2011-20326-4
Abstract: We present the effect of mergers, a term which we use to mean a temporary alliance, in the dynamics of the three-agent model studied by Ben-Naim, Kahng and Kim and by Rador and Mungan. Mergers are possible in three-agent games because two agents can combine forces against the third player and thus increase their probability to win a competition. We implement mergers in this three-agent model via resolving merger and no-merger units of competition in terms of a two-agent unit. This way one needs only a single parameter which we have called the competitiveness parameter. We have presented an analytical solution in the fully competitive limit. In this limit the score distribution of agents is stratified and self-similar.
URI: http://doi.org/10.1140/epjb/e2011-20326-4
http://hdl.handle.net/11147/4951
ISSN: 1434-6028
Appears in Collections:Physics / Fizik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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