Outline Mini-Course Evolutionary Game Theory and Learning at QUT Brisbane, November 2012 by Friederike Mengel Summary: In this course we will study the most standard concepts used in Evolutionary Game Theory. We will start by studying ``classic’’ approaches, such as the static concept of evolutionary stability or deterministic dynamic systems like the replicator dynamics (Lecture 1). We will move to learning models, which are more explicit about the underlying reasoning and decision making process of the decision maker. We will see that some stochastic learning models are closely related to deterministic evolutionary concepts like the Replicator Dynamics (Lecture 3). Finally we will study the concept of stochastic stability (Lecture 4). For each of the different concepts we will review some applications they have had in recent research. From the vast array of possibilities we selected three topics. We will apply the Replicator Dynamics to study the cultural transmission of preferences and social norms (Lecture 2). We will study the problem of learning across games and categorization (Lecture 3). Finally we will apply the concept of stochastic stability to some examples of learning in games played on social networks (Lecture 5).

Overview of Sessions Session 1: Introduction: What is evolutionary GT, what is its purpose? and the Classics: Evolutionary Stability, (Noisy) Replicator Dynamics, Quasi-species equation References: Textbooks • Nowak, M. A. (2006), Evolutionary Dynamics, Belknap/Harvard. • Vega Redondo, F. (2003), Economics and the Theory of Games, Cambridge University Press. • Weibull, J. (1996), Evolutionary Game Theory, MIT Press. Classics • Eigen, M. J. McCaskill and P. Schuster (1989), ``The molecular quasi-species'', Adv. Chem.Phys.75: 149-263. • Maynard Smith, J. and G.R. Price (1973), ``The logic of animal conflict'', Nature 246: 15-18. • Maynard Smith, J. (1974), ``The theory of games and the evolution of animal conflicts'', Journal of Theoretical Biology 47, 209-221. • Taylor, P.D. and L.B. Jonker (1978), ``Evolutionary stable strategies and game dynamics'', Math.Biosci. 40: 145-156.

Session 2: The Classics: (Recent) Applications References: •

Bester, H. And W. Gueth, (1998). Is altruism evolutionary stable?, Journal of Economic Behavior and Organization 34, 193–209.

• • •

Bisin, A., G. Topa and T. Verdier (2004), ``Cooperation as a transmitted cultural trait’’, Rationality and Society 16(4): 477-507. Mengel, F. (2008), ``Matching Structure and the Cultural Transmission of Social Norms’’, Journal of Economic Behavior and Organization 67, 608-623. Mengel, F. (2012), ``On the Evolution of Coarse Categories’’, Journal of Theoretical Biology 307, 117-124. Nowak, M., R. May and R. Anderson, ``The evolutionary dynamics of HIV quasispecies and the development of immunodeficiency disease’’, AIDS 4, 1095–1103.

Session 3: Learning Models and Stochastic Approximation References: • • • • • • • •

Benveniste, A., Metevier, M., Priouret, P., (1990). Adaptive Algorithms and Stochastic Approximation. Springer-Verlag, Berlin. Boergers, T., Sarin, R., (1997). Learning through reinforcement and replicator dynamics, Journal of Economic Theory 77, 1–14. Grimm, V, and F. Mengel (2012), An Experiment on Learning in a Multiple Games Environment, Journal of Economic Theory 147, 2220-2259. Hopkins, E., (2002), Two competing models of how people learn in games, Econometrica 70 (6), 2141–2166. Kushner, H.J., Yin, G.G. (2003), Stochastic Approximation and Recursive Algorithms and Applications. Springer, New York. Mengel, F. (2012), Learning Across Games, Games and Economic Behavior 74, 601-619. Roth, A.E. and Erev, I., (1995), Learning in extensive-form games: Experimental data and simple dynamic models in the intermediate term, Games and Economic Behavor 8, 164–212. Vega-Redondo, F. (2000), Economics and the Theory of Games. Cambridge University Press.

Session 4: Stochastic Models: Markov chains, Stochastic Stability References: • • •

Ellison, G. (2000), Basins of Attraction, Long Run Stability and the Speed of Step-by-Step Evolution, Review of Economic Studies, 67(1), 17-45. Kandori, M., G. Mailath and R. Rob (1993), Learning, Mutation and Long Run Equilibria in Games, Econometrica, 61 (1), 29-56. Young, P. (2003), Individual Strategy and Social Structure, Princeton University Press.

Session 5: Stochastic Models: Applications (focus on Networks) References: • • • • • • •

Alos-Ferrer, C. and S. Weidenholzer (2008), Contagion and Efficiency, Journal of Economic Theory 143, 251-274. Ellison, G. (1993), Learning, Local Interaction and Coordination, Econometrica, 61(5),10471071. Ellison, G. (2000), Basins of Attraction, Long Run Stability and the Speed of Step-by-Step Evolution, Review of Economic Studies, 67(1), 17-45 Fosco, C. and F. Mengel (2011), Cooperation through Imitation and Exclusion in Networks, Journal of Economic Dynamics and Control 35, 641-658. Goyal, S. and F. Vega Redondo (2005), Network formation and social coordination, Games and Economic Behavior 50, 178-207. Jackson, M. and A. Watts (2002), On the formation of interaction networks in social coordination games, Games and Economic Behavior 41, 265-291. Jackson, M. (2010), Social and Economic Networks, Princeton University Press.

Outline Mini-Course Evolutionary Game Theory and ...

we will study the concept of stochastic stability (Lecture 4). For each of ... some examples of learning in games played on social networks (Lecture 5). Overview ...

15KB Sizes 0 Downloads 229 Views

Recommend Documents

weibull evolutionary game theory pdf
Sign in. Loading… Whoops! There was a problem loading more pages. Retrying... Whoops! There was a problem previewing this document. Retrying.

Evolutionary Game Theory and the Chain Store Paradox
24 Apr 2011 - fighting). While it seems as though every game theorist has their own subtly nuanced payoff structure for this game, the one considered now is Selten‟s original structure. When the competitor decides to stay out, he has a payoff of 1

Evolutionary game dynamics of controlled and ... - Squarespace
Jul 27, 2015 - simulations that support this suggestion.26 In these simula- ... pA for automatic agents and pC for controlled agents. ..... 365, 19–30 (2010).

Evolutionary game dynamics of controlled and ... - Squarespace
Jul 27, 2015 - evolution of automatic and controlled decision-making processes. We introduce a ..... where for the sake of illustration we fix a¼0.15 and vary b and q. ..... tion to, variation caused by the population).33,34 Our basic framework ...

Probability and Game Theory Syllabus
Day Session. Activities. 00. Evening. 1. (20mins) Welcome and Introductions: Brian and Andy introduce themselves, their backgrounds, their interests. Students play “Who Is It?” game. Each student receives a notecard and writes 3 facts about thems

Consilience and Life History Theory - Ecology and Evolutionary Biology
stances such as monetary wealth, cultural influences, immediate social institutions, .... multiple sexual partners, presence of an STD, drug abuse, and unreliable ...

Algorithmic Game Theory and Graphs
We prove some new lower and upper bounds, which improve upon the best known .... These include the Internet, numerous economic and electronic ... only the set of bid independent auctions, i.e., auctions in which the price offered to a ...

Game Theory - Hobart and William Smith Colleges
8.4 Can a Fixed Waiting Time Strategy be a Pure ESS? ..... Stable Strategies. Synopsis: This chapter introduces the central concept of the application of game theory to evolutionary biology|the Evolutionary Stable Strategy. You will ...... Synopsis:

Game Theory - Hobart and William Smith Colleges
Neutralist Models: However, one must keep in mind that adaptation is often only an assumption. In the 1930s ...... In all of these cases, a decision about whether or not the behaviors were an ESS would require data ...... Using the Hawks and Doves si

The Evolutionary Theory of Time Preferences and ...
As for energy production per body weight, ζa,w, this clearly first rises ... 6An alternative and perhaps more familiar representation of the Bellman equation is.

The Evolutionary Theory of Time Preferences and ...
In the fable quoted above, even ”ancient monkeys” had a time preference ... dwellings, storage facilities, dams, and food stocks occur in some non-human species ... resource use would have evolved so as to set the MRS equal to the market.

Vacant niches in nature, ecology, and evolutionary theory
ditions for which no species in a region are well adapted”. Rohde (2005) states that ... latter term implies the availability of free resources and a ...... 4 as energy and electron donors,. CO2 as a .... Alternative paradigms in community ecol- og

Life History Theory and Evolutionary Psychology
Sep 9, 2004 - season to survive the winter and live to reproduce the next year. .... will “waste” resources on costly displays (Grafen, 1991) or fighting rather ...

pdf-1419\evolutionary-theory-and-cognitive-therapy-from-brand ...
Try one of the apps below to open or edit this item. pdf-1419\evolutionary-theory-and-cognitive-therapy-from-brand-springer-publishing-company.pdf.

An Outline of a Socio-Technical Theory of Culture
Ravi K. Vatrapu. Center for Applied ICT (CAICT), Copenhagen Business School ..... affordances by individual participants in an online learning environment. The .... http://lilt.ics.hawaii.edu/~vatrapu/docs/Vatrapu-Dissertation.pdf (2007) 538. 41.

Outline of a Theory of Quantification
Mar 14, 2013 - cate. I thus make no distinction between, e.g., the proposition that ..... Let Dp be the set of equivalence classes of closed formulas of type p for a.

Advanced Game Theory and Topics in Microeconomic ...
Nov 2, 2016 - No credit will be given for correct answers if the derivation is missing or if ... c. Find all of the Nash equilibria of this game (including those in ...