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Evolutionary Game Theory: Simulations

Citation

Friedman, Daniel; Sinervo, Barry (2015), Evolutionary Game Theory: Simulations, UC Santa Cruz Dash, Software, https://doi.org/10.7291/D1MW2X

Abstract

The software examples are all derived in the book by Daniel Friedman and Barry Sinervo, "Evolutionary Games in Natural, Social, and Virtual Worlds", published by Oxford University Press (2016). These Excel simulations, R workspaces, and mathematica programs are designed to illustrate diverse games that can be developed for one-population games such as Hawk Dove, RPS, Defect-Cooperate-TFT, to two population games such as Baseball (pitchers versus batters) or Buyer-Seller. The Excel games D-C-TFT and Baseball are derived from Joseph E. Harrington's examples from his book "Games, Strategies, and Decision Making" (Publisher MacMillan, 2009).
We also develop continuous time versions of several games in the R programming environment, including an r-K strategy game, a two-population buyer-seller game, and several variations on RPS (all discussed in Chapters 1-4 of Friedman and Sinervo, 2016).
The software repository also includes a cellular automata (written by Morgan Maddren, Barry Sinervo and Daniel Friedman) implemented in the R programming environment. The package is described in Chapter 6 of Friedman and Sinervo (2016). The software requires the R packages vcd and deSolve to run.
We also include a mathematica version, based on William Sandholm's Mathematica package Dynamo (2013) of a predator (Naive-Responsive) playing against alternative prey types of Aposematic Model, Batesian Mimic, and Cryptic type, referred to as ABC prey game vs NR Predator. Version 1 of ABC-NR includes the simple version introduced in Chapter 7 of Friedman and Sinervo (2016) as well as the more complex version with additional own population effects for prey.
Also included in this software repository are diverse examples of RPS games using Sandholm's mathematica package Dynamo, such as the yeast RPS of Question 6 in Chapter 3, and diverse RPS mating systems found in Chapter 7 of Friedman and Sinervo (2016).
These examples are intended to spur on the development of projects by students who use the book as a text for a class.

Methods

The spreadsheets and R software implement discrete or continuous time versions of several evolutionary games as described in the Book by Daniel Friedman and Barry Sinervo, "Evolutionary Games in Natural, Social, and Virtual Worlds", published by Oxford University Press (2016).