IDEALS Home University of Illinois at Urbana-Champaign logo The Alma Mater The Main Quad

Stochastic stability of replicator dynamics with random jumps

Show full item record

Bookmark or cite this item:

Files in this item

File Description Format
PDF Vlasic_Andrew.pdf (13MB) Restricted to U of Illinois (no description provided) PDF
Title: Stochastic stability of replicator dynamics with random jumps
Author(s): Vlasic, Andrew
Director of Research: Muncaster, Robert; Song, Renming
Doctoral Committee Chair(s): Bauer, Robert
Doctoral Committee Member(s): Muncaster, Robert; Song, Renming; Rapti, Zoi
Department / Program: Mathematics
Discipline: Mathematics
Degree Granting Institution: University of Illinois at Urbana-Champaign
Degree: Ph.D.
Genre: Dissertation
Subject(s): Asymptotic stochastic stability evolutionarily stable strategy invariant measure Lyapunov function Nash equilibrium recurrence stochastic differential equation
Abstract: We further generalize the stochastic version of the replicator dynamics due to Fudenberg and Harris. In particular, we add a random jump term to the payo ff function to simulate anomalous events and their e ffects on the fi tness. Assuming a 2 by 2 game and using a particular characteristic of the jump functions we are able to estimate the ergodic measure for all games. Lastly, working with results and methods developed by Imhoff, we prove some stability theorems for an arbitrary n by n game.
Issue Date: 2012-09-18
Rights Information: Copyright 2012 Andrew Vlasic
Date Available in IDEALS: 2012-09-18
Date Deposited: 2012-08

This item appears in the following Collection(s)

Show full item record

Item Statistics

  • Total Downloads: 3
  • Downloads this Month: 0
  • Downloads Today: 0


My Account


Access Key