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Emergence of Punishment in Social Dilemma with Environmental Feedback

AAAI 2023 · Multi-agent systems and games › Games and equilibria · approach: Cooperation and social dilemmas · 30 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use environmental feedback with δC > 0 and δD > α > 0Environmental feedback model · One-shot public goods gamestable equilibrium: ρP = 1,ρC = 1Helped
Set δC = 0 while δD > α > 0Environmental feedback model · One-shot public goods gamecooperator frequency: ρC = 1, ρP = x with x ∈ (−1/β (rc/G − c),1]Helped
Remove punishment from the systemEnvironmental feedback model · One-shot public goods gamecooperator frequency: ρC = 1,ρP = 0 ... are always unstableHurt
Keep punishment present in the systemEnvironmental feedback model · One-shot public goods gamecooperator frequency: ρC = 0,ρP = 1 ... are always unstableHelped
Set δC ≥ 0 or δD > α > 0Environmental feedback model · One-shot public goods gameco-presence of punishment and cooperation: δC ≥ 0 ... or δD > α > 0Helped
Set δC < 0 and δD < αEnvironmental feedback model · One-shot public goods gamestable equilibrium: ρC = 0,ρP = 0 is the unique asymptotically stable stateHurt
Set δC > 0, δD < α, and α > 0Environmental feedback model · One-shot public goods gamestable equilibria: ρC = 0,ρP = 0 and ρC = 1,ρP = 1Mixed
Set δC < 0 and δD > α > 0Environmental feedback model · One-shot public goods gamedynamics: δC < 0,δD > α > 0Mixed
Set δC = 0 and δD − α = 0Environmental feedback model · One-shot public goods gamepunisher frequency: ρP remains unchangedNo clear effect

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