A Game Theoretic Approach to Decision Making in Neuronal Networks

Ahmed A.Alabdel Abass, Narayan B. Mandayam, Zoran Gajic

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We formulate as a game, the dynamic interaction scenario among three populations of neurons with different functions and capabilities. Specifically, we consider two populations of excitatory neurons where each population is responsible for a direction of movement, say, right and left. Both the excitatory neuron populations are connected to an inhibitory neurons population. Each excitatory population wants to take control of the movement. We formulate a game theoretic view of this competition. Specifically, we assume that the activity level of each neuronal population is quantized in to two levels. We transform the dynamical system model that exists in the literature, see for example [1], for this problem to create the game utilities. We characterize, through the replicator dynamics of the evolutionary game, the evolutionary stable strategies and find conditions under which they hold. Finally, we use the phase portrait to show the evolution of the evolutionary stable strategies from different initial conditions. We find that mixed strategies cannot be a part of the game solution. In addition, we find that the case of no or low activity is the worst case and there are no initial conditions or neurons coordination that can overcome it.

Original languageEnglish (US)
Title of host publication2nd International Conference on Electrical, Communication and Computer Engineering, ICECCE 2020
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781728171166
DOIs
StatePublished - Jun 2020
Externally publishedYes
Event2nd International Conference on Electrical, Communication and Computer Engineering, ICECCE 2020 - Istanbul, Turkey
Duration: Jun 12 2020Jun 13 2020

Publication series

Name2nd International Conference on Electrical, Communication and Computer Engineering, ICECCE 2020

Conference

Conference2nd International Conference on Electrical, Communication and Computer Engineering, ICECCE 2020
Country/TerritoryTurkey
CityIstanbul
Period6/12/206/13/20

All Science Journal Classification (ASJC) codes

  • Artificial Intelligence
  • Computer Networks and Communications
  • Computer Science Applications
  • Hardware and Architecture
  • Signal Processing
  • Electrical and Electronic Engineering
  • Control and Optimization
  • Health Informatics

Keywords

  • Evolutionary Game Theory
  • Inhibitory Neurons
  • Neuronal Population
  • Spiking Neural Networks
  • Stability Analysis

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