Package EvolutionaryGames
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1 Type Package Package EvolutionaryGames November 27, 2017 Title Important Concepts of Evolutionary Game Theory Version Maintainer Jochen Staudacher A comprehensive set of tools to illustrate the core concepts of evolutionary game theory, such as evolutionary stability or various evolutionary dynamics, for teaching and academic research. License GPL-2 Encoding UTF-8 LazyData true Imports desolve (>= 1.14), geometry (>= 0.3-6), ggplot2 (>= 2.2.1), grdevices (>= 3.2.2), interp (>= ), MASS (>= ), reshape2 (>= 1.4.2), rgl (>= ) Suggests knitr, rmarkdown VignetteBuilder knitr NeedsCompilation no RoxygenNote Author Daniel Gebele [aut, cph], Jochen Staudacher [aut, cre, cph] Repository CRAN Date/Publication :36:41 UTC R topics documented: BNN BR ESS ESset ILogit Logit
2 2 BNN MSReplicator phasediagram2s phasediagram3s phasediagram4s Replicator Smith triangle Index 15 BNN Brown-von Neumann-Nash dynamic Brown-von Neumann-Nash replicator dynamic as a type of evolutionary dynamics. BNN(time, state, parameters) time state parameters Regular sequence that represents the time sequence under which simulation takes place. Numeric vector that represents the initial state. Numeric vector that represents parameters needed by the dynamic. Numeric list. Each component represents the rate of change depending on the dynamic. Brown, G. W. and von Neumann, J. (1950) "Solutions of games by differential equations", In: Kuhn, Harold William and Tucker, Albert William (Eds.) "Contributions to the Theory of Games I", Princeton University Press, pp dynamic <- BNN state <- matrix(c(0.4, 0.3, 0.3), 1, 3, byrow=true) phasediagram3s(a, dynamic, NULL, state, FALSE, FALSE)
3 BR 3 BR BR dynamic Best response dynamic as a type of evolutionary dynamics. BR(time, state, parameters) time state parameters Regular sequence that represents the time sequence under which simulation takes place. Numeric vector that represents the initial state. Numeric vector that represents parameters needed by the dynamic. Numeric list. Each component represents the rate of change depending on the dynamic. Gilboa, I. and Matsui, A. (1991) "Social Stability and Equilibrium", Econometrica 59, pp dynamic <- BR state <- matrix(c(0.4, 0.3, 0.3), 1, 3, byrow=true) phasediagram3s(a, dynamic, NULL, state, FALSE, FALSE)
4 4 ESS ESS ESS for two-player games with a maximum of three strategies Computes Evolutionary Stable Strategies of a game with two players and a maximum of three strategies. ESS(A, strategies = c(), floats = TRUE) A strategies floats Numeric matrix of size 2x2 or 3x3 representing the number of strategies of a symmetric matrix game. String vector of length n that names all strategies whereas n represents the number of strategies. Logical value that handles number representation. If set to TRUE, floating-point arithmetic will be used, otherwise fractions. Default is TRUE. Numeric matrix. Each row represents an ESS. Smith, J. M. and Price, G. R. (1973) "The logic of animal conflict", Nature 246, pp ESS(matrix(c(-1, 4, 0, 2), 2, byrow=true), c("hawk", "Dove"), FALSE) ESS(matrix(c(1, 2, 0, 0, 1, 2, 2, 0, 1), 3, byrow=true))
5 ESset 5 ESset Evolutionarily stable set for two-player games with three strategies Computes evolutionarily stable sets of a game with two players and three strategies. ESset(A, strategies = c("1", "2", "3"), floats = TRUE) A strategies floats Numeric matrix of size 3x3 representing the number of strategies of a symmetric matrix game. String vector of length 3 that names all strategies. Logical value that handles number representation. If set to TRUE, floating-point arithmetic will be used, otherwise fractions. Default is TRUE. Numeric matrix. Each row represents the start and end point of a line (ESset). In addition, a plot of the ESset in the game will be created. Thomas, B. (1985) "On evolutionarily stable sets", Journal of Mathematical Biology 22, pp # Please note that the computation of evolutionarily stable sets # is rather time-consuming. # Depending on your machine you might need to wait more # than 10 seconds in order to run the following example. ## Not run: A <- matrix(c(-2, 5, 10/9, 0, 5/2, 10/9, -10/9, 35/9, 10/9), 3, byrow=true) strategies <- c("hawk", "Dove", "Mixed ESS") ESset(A, strategies) ## End(Not run)
6 6 ILogit ILogit ILogit dynamic Imitative Logit dynamic as a type of evolutionary dynamics. ILogit(time, state, parameters) time state parameters Regular sequence that represents the time sequence under which simulation takes place. Numeric vector that represents the initial state. Numeric vector that represents parameters needed by the dynamic. Numeric list. Each component represents the rate of change depending on the dynamic. Jochen Staudacher <jochen.staudacher@hs-kempten.de> Weibull, J. W. (1997) "Evolutionary Game Theory", MIT Press. dynamic <- ILogit A <- matrix(c(-1, 0, 0, 0, -1, 0, 0, 0, -1), 3, byrow=true) state <- matrix(c(0.1, 0.2, 0.7, 0.2, 0.7, 0.1, 0.9, 0.05, 0.05), 3, 3, byrow=true) eta <- 0.7 phasediagram3s(a, dynamic, eta, state, TRUE, FALSE)
7 Logit 7 Logit Logit dynamic Logit dynamic as a type of evolutionary dynamics. Logit(time, state, parameters) time state parameters Regular sequence that represents the time sequence under which simulation takes place. Numeric vector that represents the initial state. Numeric vector that represents parameters needed by the dynamic. Numeric list. Each component represents the rate of change depending on the dynamic. Fudenberg, D. and Levine, D. K. (1998) "The Theory of Learning in Games", MIT Press. dynamic <- Logit state <- matrix(c(0.4, 0.3, 0.3), 1, 3, byrow=true) eta <- 0.1 phasediagram3s(a, dynamic, eta, state, FALSE, FALSE)
8 8 MSReplicator MSReplicator Maynard Smith replicator dynamic Maynard Smith replicator dynamic as a type of evolutionary dynamics. MSReplicator(time, state, parameters) time state parameters Regular sequence that represents the time sequence under which simulation takes place. Numeric vector that represents the initial state. Numeric vector that represents parameters needed by the dynamic. Numeric list. Each component represents the rate of change depending on the dynamic. Smith, J. M. (1982) "Evolution and the Theory of Games", Cambridge University Press. dynamic <- MSReplicator state <- matrix(c(0.4, 0.3, 0.3), 1, 3, byrow=true) phasediagram3s(a, dynamic, NULL, state, FALSE, FALSE)
9 phasediagram2s 9 phasediagram2s Phase Diagram for two-player games with two strategies Plots phase diagram of a game with two players and two strategies. phasediagram2s(a, dynamic, params = NULL, vectorfield = TRUE, strategies = c("1", "2")) A dynamic params vectorfield strategies Numeric matrix of size 2x2 representing the number of strategies of a symmetric matrix game. Function representing an evolutionary dynamic. Numeric vector representing additional parameters for the evolutionary dynamic. Logical value that handles vector field presentation. If set to TRUE, vector field will be shown, otherwise not. Default is TRUE. String vector of length 2 that names all strategies. None. A <- matrix(c(-1, 4, 0, 2), 2, 2, byrow=true) phasediagram2s(a, Replicator, strategies = c("hawk", "Dove"))
10 10 phasediagram3s phasediagram3s Phase Diagram for two-player games with three strategies Plots phase diagram of a game with two players and three strategies. phasediagram3s(a, dynamic, params = NULL, trajectories = NULL, contour = FALSE, vectorfield = FALSE, strategies = c("1", "2", "3")) A dynamic params trajectories contour vectorfield strategies Numeric matrix of size 3x3 representing the number of strategies of a symmetric matrix game. Function representing an evolutionary dynamic. Numeric vector with additional parameters for the evolutionary dynamic. Numeric matrix of size mx3. Each row represents the initial values for the trajectory to be examined. Logical value that handles contour diagram presentation. If set to TRUE, contour diagram will be shown, otherwise not. Default is FALSE. Logical value that handles vector field presentation. If set to TRUE, vector field will be shown, otherwise not. Default is FALSE. String vector of length 3 that names all strategies. None. state <- matrix(c(0.4, 0.3, 0.3), 1, 3, byrow=true) phasediagram3s(a, Replicator, NULL, state, FALSE, FALSE) phasediagram3s(a, Replicator, NULL, state, TRUE, TRUE) # Plot two trajectories rather than only one: state <- matrix(c(0.4, 0.3, 0.3, 0.6, 0.2, 0.2), 2, 3, byrow=true) phasediagram3s(a, Replicator, NULL, state, FALSE, FALSE)
11 phasediagram4s 11 phasediagram4s Phase Diagram for two-player games with four strategies Plots phase diagram of a game with two players and four strategies. phasediagram4s(a, dynamic, params = NULL, trajectory = NULL, strategies = c("1", "2", "3", "4"), norgl = TRUE) A dynamic params trajectory strategies norgl Numeric matrix of size 4x4 representing the number of strategies of a symmetric matrix game. Function representing an evolutionary dynamic. Numeric vector with additional parameters for the evolutionary dynamic. Numeric vector of size 4 representing the initial value for the trajectory to be examined. String vector of length 4 that names all strategies. Logical value that handles diagram rotation. If set to FALSE, diagram will be rotatable, otherwise not. Default is TRUE. None. A <- matrix(c(5, -9, 6, 8, 20, 1, 2, -18, -14, 0, 2, 20, 13, 0, 4, -13), 4, 4, byrow=true) state <- c(0.3, 0.2, 0.1, 0.4) phasediagram4s(a, Replicator, NULL, state)
12 12 Replicator Replicator Replicator dynamic Replicator dynamic as a type of evolutionary dynamics. Replicator(time, state, parameters) time state parameters Regular sequence that represents the time sequence under which simulation takes place. Numeric vector that represents the initial state. Numeric vector that represents parameters needed by the dynamic. Numeric list. Each component represents the rate of change depending on the dynamic. Taylor, P. D. and Jonker, L. B. (1978) "Evolutionary stable strategies and game dynamics", Mathematical Biosciences 40 (1-2), pp dynamic <- Replicator state <- matrix(c(0.4, 0.3, 0.3), 1, 3, byrow=true) phasediagram3s(a, dynamic, NULL, state, FALSE, FALSE)
13 Smith 13 Smith Smith dynamic Smith dynamic as a type of evolutionary dynamics. Smith(time, state, parameters) time state parameters Regular sequence that represents the time sequence under which simulation takes place. Numeric vector that represents the initial state. Numeric vector that represents parameters needed by the dynamic. Numeric list. Each component represents the rate of change depending on the dynamic. Smith, M. J. (1984) "The Stability of a Dynamic Model of Traffic Assignment An Application of a Method of Lyapunov", Transportation Science 18, pp dynamic <- Smith state <- matrix(c(0.4, 0.3, 0.3), 1, 3, byrow=true) phasediagram3s(a, dynamic, NULL, state, FALSE, FALSE)
14 14 triangle triangle Triangle for 2-simplex operations Generates a triangle representing the 2-simplex. triangle(labels = c("1", "2", "3")) labels String vector of length 3 that names the edges of the triangle. List of size 2 with members coords and canvas. coords holds edge coordinates of the 2-simplex, canvas a ggplot2 plot object of the 2-simplex. triangle()
15 Index BNN, 2 BR, 3 ESS, 4 ESset, 5 ILogit, 6 Logit, 7 MSReplicator, 8 phasediagram2s, 9 phasediagram3s, 10 phasediagram4s, 11 Replicator, 12 Smith, 13 triangle, 14 15
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Title Easy Spatial Microsimulation (Raking) in R Version 0.2.1 Date 2017-10-10 Package raker October 10, 2017 Functions for performing spatial microsimulation ('raking') in R. Depends R (>= 3.4.0) License
Package preprosim. July 26, 2016
Package preprosim July 26, 2016 Type Package Title Lightweight Data Quality Simulation for Classification Version 0.2.0 Date 2016-07-26 Data quality simulation can be used to check the robustness of data
Package edfreader. R topics documented: May 21, 2017
Type Package Title Reading EDF(+) and BDF(+) Files Version 1.1.2 Date 2017-05-13 Maintainer Jan Vis Package edfreader May 21, 2017 Description Reads European Data Format files EDF
Package mapsapi. March 12, 2018
Type Package Package mapsapi March 12, 2018 Title 'sf'-compatible Interface to 'Google Maps' APIs Version 0.3.5 Interface to the 'Google Maps' APIs: (1 routing directions based on the 'Directions' API,
Package samplesizecmh
Package samplesizecmh Title Power and Sample Size Calculation for the Cochran-Mantel-Haenszel Test Date 2017-12-13 Version 0.0.0 Copyright Spectrum Health, Grand Rapids, MI December 21, 2017 Calculates
Package editdata. October 7, 2017
Type Package Title 'RStudio' Addin for Editing a 'data.frame' Version 0.1.2 Package editdata October 7, 2017 Imports shiny (>= 0.13, miniui (>= 0.1.1, rstudioapi (>= 0.5, DT, tibble An 'RStudio' addin
Package fitur. March 11, 2018
Title Fit Univariate Distributions Version 0.5.25 Package fitur March 11, 2018 Wrapper for computing parameters for univariate distributions using MLE. It creates an object that stores d, p, q, r functions
Package semver. January 6, 2017
Type Package Title 'Semantic Versioning V2.0.0' Parser Version 0.2.0 Package semver January 6, 2017 Tools and functions for parsing, rendering and operating on semantic version strings. Semantic versioning
Package crossword.r. January 19, 2018
Date 2018-01-13 Type Package Title Generating s from Word Lists Version 0.3.5 Author Peter Meissner Package crossword.r January 19, 2018 Maintainer Peter Meissner Generate crosswords
Package geogrid. August 19, 2018
Package geogrid August 19, 2018 Title Turn Geospatial Polygons into Regular or Hexagonal Grids Version 0.1.0.1 Turn irregular polygons (such as geographical regions) into regular or hexagonal grids. This
Package githubinstall
Type Package Version 0.2.2 Package githubinstall February 18, 2018 Title A Helpful Way to Install R Packages Hosted on GitHub Provides an helpful way to install packages hosted on GitHub. URL https://github.com/hoxo-m/githubinstall
Package IATScore. January 10, 2018
Package IATScore January 10, 2018 Type Package Title Scoring Algorithm for the Implicit Association Test (IAT) Version 0.1.1 Author Daniel Storage [aut, cre] Maintainer Daniel Storage
Package patentsview. July 12, 2017
Type Package Title An R Client to the PatentsView API Version 0.1.0 Encoding UTF-8 Package patentsview July 12, 2017 Provides functions to simplify the PatentsView API ()
Package GetITRData. October 22, 2017
Package GetITRData October 22, 2017 Title Reading Financial Reports from Bovespa's ITR System Version 0.6 Date 2017-10-21 Reads quarterly and annual financial reports including assets, liabilities, income
Package elmnnrcpp. July 21, 2018
Type Package Title The Extreme Learning Machine Algorithm Version 1.0.1 Date 2018-07-21 Package elmnnrcpp July 21, 2018 BugReports https://github.com/mlampros/elmnnrcpp/issues URL https://github.com/mlampros/elmnnrcpp
Package colf. October 9, 2017
Type Package Package colf October 9, 2017 Title Constrained Optimization on Linear Function Version 0.1.3 URL https://github.com/lyzander/colf BugReports https://github.com/lyzander/colf/issues Depends
Package phonics. February 13, Type Package Title Phonetic Spelling Algorithms Version Date Encoding UTF-8
Package phonics February 13, 2018 Type Package Title Phonetic Spelling Algorithms Version 1.0.0 Date 2018-02-13 Encoding UTF-8 URL https://jameshoward.us/software/phonics/, https://github.com/howardjp/phonics