Image Database Export Citations


Pairwise Comparison Dynamics and Evolutionary Foundations for Nash Equilibrium

Show full item record

Type: Journal Article
Author: Sandholm, William H.
Journal: Games
Volume: 1
Page(s): 3-17
Date: 2009
URI: http://hdl.handle.net/10535/6812
Sector: Theory
Subject(s): Nash equilibrium
game theory
Abstract: "We introduce a class of evolutionary game dynamics--pairwise comparison dynamics--under which revising agents choose a candidate strategy at random, switching to it with positive probability if and only if its payoff is higher than the agent’s current strategy. We prove that all such dynamics satisfy Nash stationarity: the set of rest points of these dynamics is always identical to the set of Nash equilibria of the underlying game. We also show how one can modify the replicator dynamic and other imitative dynamics to ensure Nash stationarity without increasing the informational demands placed on the agents. These results provide an interpretation of Nash equilibrium that relies on large numbers arguments and weak requirements on payoff observations rather than on strong equilibrium knowledge assumptions."

Files in this item

Files Size Format View
evolutionary game theory.pdf 283.8Kb PDF View/Open

This item appears in the following document type(s)

Show full item record