### Conveners

#### Session 12: Panel A

- Fernando Oliveira (Universidade de Brasília)

Adam Kleczkowski
(University of Stirling, Scotland)

9/8/17, 9:30 AM

oral

One of the key contributions of Marian Smoluchowski was to show that even small, apparently random, contributions from individuals can combine to produce significant shifts in the collective behaviour. This paradigm is not limited to physics but has become increasingly influential in biological and social sciences. Models have been developed to describe such diverse systems like the market...

Jacek Miekisz
(Institute of Mathematics, Polish Academy of Sciences and University of Warsaw)

9/8/17, 9:50 AM

oral

We formulate two simple and intuitive criteria for evolutionary stability of pure Nash equilibria in stochastic dynamics of finite populations. Our approach is based on the mapping of continuous stochastic dynamics into discrete ones and the appropriate choice of potential functions. We present the correspondence between one-dimensional stochastic differential equations describing diffussion...

Andrzej Krawiecki
(Faculty of Physics, Warsaw University of Technology)

9/8/17, 10:10 AM

oral

Majority vote model on random graphs and scale-free networks is investigated, in which a
fraction p of agents (called contrarians or anticonformists)
follows an antiferromagnetic update rule, i.e., they assume, with
probability governed by a parameter q (0 < q < 1/2), the opinion opposite to that of the majority
of their neighbors, while the remaining 1-p fraction of agents follows the...