Basins of Attraction, Long-Run Stochastic Stability, and the Speed of Step-by-Step Evolution

By Glenn Ellison. 2000

467 citations recorded by the source corpus.

Subfields: Economics and Econometrics, Management Science and Operations Research, Sociology and Political Science

View Paper: https://www.semanticscholar.org/paper/4410686210418982cb080b63fbfeaf7302d0baf4

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Citations in the corpus

A dynamic model of social network formation. (2000, methodology): “We now follow the usual method for determining stochastic stability (35).”
The Stag Hunt and the Evolution of Social Structure (2003, background): “See Robson and Vega-Redondo (1996), Ely (2002), and Bhaskar and Vega-Redondo (2002) for a demonstration of this general point in models somewhat different from those presented here.”
An evolutionary perspective (2019, unknown): “, 2001), for the specic parameters conguration giving rise to the distribution specied by (13) ; i.”
On the formation of interaction networks in social coordination games (2002, background): “…cost for all of the links that she maintains, then 13 Speed of convergence and its relationship to one-at-a-time trembles is discussed formally in Ellison (2000). the results can change and in particular we can find mixed stochastically stable states where there is play of different strategies…”
How Homophily Affects the Speed of Learning and Best Response Dynamics (2012, methodology): “, Ellison (2000) and Montanari and Saberi (2008)).”
The evolutionary stability of perfectly competitive behavior (2005, background): “Formally, this state is stochastically stable.16 Using recent results on stochastic stability from Ellison [9], it is easy to show that the former conclusion generalizes to any strictly globally stable ESS.”
Deterministic Approximation of Stochastic Evolution in Games (2003, methodology): “This result is similar to Theorem 1 in Ellison (2000).”
Sampling best response dynamics and deterministic equilibrium selection (2015, methodology): “Using birthdeath chain methods, Sandholm (2001) shows that if a game has a 1k -dominant action 4 that 1This waiting time critique is formalized by Ellison (1993, 2000) and Binmore et al. (1995), among others.”