https://touchingfish.top/en/tags/density-dependence/Recent content in Density-Dependence on TouchingFish.topHugoenMon, 19 Jun 2023 00:00:00 +0000https://touchingfish.top/en/2023/game-environment-feedback/Mon, 19 Jun 2023 00:00:00 +0000https://touchingfish.top/en/2023/game-environment-feedback/<p>I have written two ABMs (Agent-Based Models) before. On a grid, agents are paired at random, play one round of a game, then update their action. The only variable is &quot;what you look at&quot; — the payoff of this step, or the cumulative payoff across all historical games. I cannot derive the differential equations myself (the mean-field approximation was copied from the literature), but I can still follow the order of the ODEs: one is first-order, the other is second-order. Velocity versus acceleration, memoryless versus inertial. The micro-level setting is a hair's breadth apart.</p>