Delivered by Barry Sinervo

1^st Game Theory Workshop,

São Paulo, Brazil, December 11-15, 2012,

hosted by Paulo Guimarães

Lecture notes:

1) An abbreviated history of population genetics and game theory

2) Introduction to genetic terms, A brief derivation of HW

3) selection models, mutation selection balance, and the Hawk-Dove game

The salient spreadsheets for lesson 1 on Dec. 11 (these are answers, do the workyourself first).

These are games we analyzed in Sinervo&Calsbeek_AREES_2006.pdf

See also Sinervo&Calsbeek_Supplement_AREES_2006.pdf for a primer on analyzing frequency dependent games:

Agren&Ericson_1995.pdf

Shuster&Wade_Nature_1991.pdf

SinervoLively1996.pdf

Svensson_AmNat_2005.pdf

SYLLABUS for São Paulo, Dec 11-15, 2012, Ask Paulo Guimarães for the Password for PW protected pdfs

Lecture 900-1045am (Powerpoints TBMA for select topics during Workshop)	Practical 1100 am-1200 pm
1. Dec 11, Topics: Basic evolutionary dynamics: fitness, derivation of the replicator equation, memes and genes. Intro to 2 strategy games, strategic interaction and frequency dependence. Interior equilibria: Hawk Dove, Stag Hunt. Readings: FriedmanSinervo = FS Ch 1, 1^st ½ of FS Ch 2 BioGmCh1.pdf BioGmCh2.pdf	Solving games on xls spreadsheets (discrete time – difference equations download Hawk-Dove and RPS game). See the files listed above for the papers and spread sheets Think about project ideas
2. Dec 12, Topics: 3 player games from 2 player games: estimating payoffs from frequency. Classification of 3-strategy games (Bomze.pdf) Readings: 2^nd ½ of FS Ch 2, FS Ch 3. Website supplements: BioGmCh3.pdf Bomze.pdf SinervoAmNat2007.pdf	Solving theoretical games with [R] Differential equations solver Download: RPS_rK_rps_ck_BuySell.rdata Download DefCoopTFT_RPS_BaseBall.xls
3. Dec. 13, Topics: Estimating payoffs from time series (example with the RPS and climate interactionss), predator-prey cycles, Stability, Multi-population games (ecological systems) Readings: FS, FS Ch 3 cont., FS Ch 4. Website supplements: BioGmCh4.pdf AllesinaLevinePNAS2011.pdf Friedman_etal_ms.pdf LutzJTB2013.pdf	Solving time series data for payoffs Download: TimeSeries.RData (TBMA) Develop your project
4. Dec. 14. Topics: N-strategy games. Equilibrium concepts, Runaway Process, Behaviors that distort encounter rates (the Hadamard Product). Price Eqn. Cellular Automata approaches. Readings: FS Ch 4, 5. Website supplements: BioGmPlasticStrats10-29-11.pdf BioGmCh5.pdf HochbergEvo2003.pdf DoebeliHauertEL2004.pdf	Continue work on your own game Sinervo will provide in class help with xls and [R] workspaces
5. Dec. 15. Topics: Altruism, Mutualism in single population systems, Mutualism-Parasitism in ecological systems, etc., RPS Everywhere (in mating systems and ecological systems). Readings: FS Ch. 5, Ch 7 (TBMA), Website supplements: SinervoPNAS2006.pdf HauertPRSB2006.pdf	Continue work on your own game Sinervo will provide in class help with xls and [R] workspaces

Except for those noted as TBMA = To Be Made Available during the workshop