title: Competing with oneself: introducing self-interaction in a model of competitive learning.
abstract: A competitive learning model was introduced in Mehta and Luck (Phys Rev E 60, 5:5218-5230, 1999), in which the learning is outcome-related. Every individual chooses between a pair of existing strategies or types, guided by a combination of two factors: tendency to conform to the local majority, and a preference for the type with higher perceived success among its neighbors, based on their relative outcomes. Here, an extension of the interfacial model of Mehta and Luck (Phys Rev E 60, 5:5218-5230, 1999) is proposed, in which individuals additionally take into account their own outcomes in arriving at their outcome-based choices. Three possible update rules for handling bulk sites are considered. The corresponding phase diagrams, obtained at coexistence, show systematic departures from the original interfacial model. Possible relationships of these variants with the cooperative model of Mehta and Luck (Phys Rev E 60, 5:5218-5230, 1999) are also touched upon.
authors.affiliation: S. N. Bose National Centre for Basic Sciences, Block JD, Sector III, Salt Lake, 700098 Kolkata, India. gaurang@iucaa.ernet.in
authors.forename: Gaurang
authors.initials: G
authors.lastname: Mahajan
authors.forename: Anita
authors.initials: A
authors.lastname: Mehta
mesh_terms: D000465:Algorithms; D000818:Animals; D003163:Competitive Behavior; D005716:Game Theory; D006801:Humans; D007858:Learning; D015233:Models, Statistical; D008962:Models, Theoretical; D011336:Probability; D049490:Systems Biology
references.citation: Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1996 Apr;53(4):R3009-R3012
references.pmid: 9964753
references.citation: Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1999 Nov;60(5 Pt A):5218-30
references.pmid: 11970392
references.citation: Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Jan;65(1 Pt 2):016119
references.pmid: 11800748
references.citation: PLoS Biol. 2006 Jun;4(6):e179
references.pmid: 16700627
references.citation: Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Mar;63(3 Pt 2):036118
references.pmid: 11308720
references.citation: Phys Rev Lett. 2001 Jul 23;87(4):045701
references.pmid: 11461631
references.citation: Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Oct;80(4 Pt 1):040101
references.pmid: 19905257