Luis R. Izquierdo

[es]

• Home
• Papers
• Resources for computer modelling
• Models
• Working Papers
• Working experience
• Contact details

NetLogo models

• LeLeLe
  Agent-based model (together with its mean-dynamics approximation running by its side) designed to analyse the effect of conditional dissociation in the evolutionary emergence of cooperation, in the simplest possible setting. Included as supplementary material in the paper "Leave and let leave: A sufficient condition to explain the evolutionary emergence of cooperation"

• WC-LR-Cournot
  Model designed to analyse the Win-Continue, Lose-Reverse (WC-LR) rule in Cournot oligopolies. The WC-LR decision rule considered here can be simply stated as: repeat your last action (i.e. an increase or a decrease in production) if your profits have grown; otherwise, choose the opposite action. Included as supplementary material in the paper "The "Win-Continue, Lose-Reverse" Rule in Oligopolies: Robustness of Collusive Outcomes"

• WC-LR-Bertrand
  Model designed to analyse the Win-Continue, Lose-Reverse (WC-LR) rule in duopolies with differentiated products where firms compete in prices. The WC-LR decision rule considered here can be simply stated as: repeat your last action (i.e. an increase or a decrease in price) if your profits have grown; otherwise, choose the opposite action. Included as supplementary material in the paper "The "Win-Continue, Lose-Reverse" Rule in Oligopolies: Robustness of Collusive Outcomes"

• Cyp+By (constant population).
  Agent-based model designed to analyse the effect of conditional dissociation in the evolutionary emergence of cooperation. Included as part of the supplementary material of the paper "The Option to Leave: Conditional Dissociation in the Evolution of Cooperation"

• Cyp+By_fluctPop (fluctuating population)
  Agent-based model designed to analyse the effect of conditional dissociation in the evolutionary emergence of cooperation. Included as part of the supplementary material of the paper "The Option to Leave: Conditional Dissociation in the Evolution of Cooperation".

• CoolWorld
  Agent-based model designed to illustrate the usefulness of the theory of Markov chains to analyse computer models. Included as Appendix A in the paper "Techniques to Understand Computer Simulations: Markov Chain Analysis".

• Schelling's model of spatial segregation
  Included in the Appendix B of the paper "Techniques to Understand Computer Simulations: Markov Chain Analysis".

• Miller and Page's Standing Ovation Model
  Included in the Appendix B of the paper "Techniques to Understand Computer Simulations: Markov Chain Analysis".

• MEQU (Market Effects of Quality Uncertainty)
  My brother, Segis Izquierdo, and I developed this agent-based model to study the effects of quality uncertainty and incomplete information on market dynamics. This applet can be used to replicate every experiment reported in the paper "The impact of quality uncertainty without asymmetric information on market efficiency".

• CharityWorld-JASSS
  CharityWorld-JASSS is an agent-based model designed to show the emergent effects of floating-point errors in agent-based models. This is done by showing how the model behaves dramatically differently using floating-point arithmetic and using real arithmetic. This applet was included as Appendix B in the paper "Is your model susceptible to floating-point errors?".

• InCaLead
  InCaLead (Innovation, Catch-up and Leadership in Science-Based Industries) is an evolutionary model designed to explore the role of scientists' mobility, and the interactions among innovation, mobility and demand as key drivers of industrial leadership and catch-up. This applet can be used to replicate every experiment reported in the paper "Innovation, Catch-up and Leadership in Science-Based Industries".
• InDyTeRRoD
  InDyTeRRoD (Industrial Dynamics and Technological Regimes and the Role of Demand) is an evolutionary model designed to explore industrial dynamics in alternative technological regimes. The model incorporates entry/exit mechanisms, innovation, imitation, competition, strategic learning and firm growth in an innovative industry. This applet can be used to replicate every experiment reported in the paper "Industry dynamics, technological regimes and the role of demand".

Mathematica demonstrations

• Fuzzy System of IF-THEN Rules
  Download here the interactive program included as supplementary material in the paper "Fuzzy Logic for Social Simulation using NetLogo". The program illustrates the so-called "Interpolation Method" for systems of fuzzy IF-THEN rules, including fuzzification and defuzzification. A particular instance of this method is Mamdani inference (also called max-min inference), which is often used in fuzzy control. Another particular instance is max-prod inference. You can also play with the online demonstration.

• The Replicator-Mutator dynamics with three strategies
  Download here the version included as supplementary material in the paper "Strictly Dominated Strategies in the Replicator-Mutator Dynamics".

• Expected Motion in 2x2 Symmetric Games Played by Reinforcement Learners
  This demonstration can be used to replicate many of the figures in the papers "Transient and asymptotic dynamics of reinforcement learning in games" and "Reinforcement Learning Dynamics in Social Dilemmas".

• Difference Equation vs. Differential Equation
  This demonstration illustrates the relation between the difference equation Δx_n = x_n+1 - x_n = γ·f(x_n) and the differential equation x′(t) = f(x) for the particular case f(x) = (x₂, -x₁), where x = (x₁, x₂).

• An Imitation Model for 2x2 Symmetric Games

• Expected Dynamics of an Imitation Model in 2x2 Symmetric Games

• An Intra-Population Imitation Model for Inter-Population 2x2 Symmetric Games

• Expected Dynamics of an Intra-Population Imitation Model for Inter-Population 2x2 Symmetric Games

Java applets

• Reinforcement Learning in 2x2 Games
  This is an applet created to illustrate the dynamics of the Bush-Mosteller model of reinforcement learning in 2x2 games. My brother, Segis Izquierdo and I are very grateful to Alexandre Eudes, Alexis Revue and Vincent Barra for carrying out most of the implementation. This applet can be used to replicate every experiment reported in the papers "Transient and asymptotic dynamics of reinforcement learning in games" and "Reinforcement Learning Dynamics in Social Dilemmas".

• RAEAN (Reimplementation of Axelrod's "Evolutionary Approach to Norms"). (Repast + Java applet).
  José Manuel Galán and I implemented this agent-based model in RePast to replicate and extend Prof. Axelrod's model of metanorms. The applet was included as Appendix A in the paper "Appearances can be deceiving: lessons learned reimplementing Axelrod's 'evolutionary approach to norms'".