Competing with oneself: introducing self-interaction in a model of competitive learning.
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.
Mahajan
Gaurang
G
S. N. Bose National Centre for Basic Sciences, Block JD, Sector III, Salt Lake, 700098 Kolkata, India. gaurang@iucaa.ernet.in
Mehta
Anita
A
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
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1996 Apr;53(4):R3009-R3012
9964753
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1999 Nov;60(5 Pt A):5218-30
11970392
Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Jan;65(1 Pt 2):016119
11800748
PLoS Biol. 2006 Jun;4(6):e179
16700627
Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Mar;63(3 Pt 2):036118
11308720
Phys Rev Lett. 2001 Jul 23;87(4):045701
11461631
Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Oct;80(4 Pt 1):040101
19905257