<p>In the paper we consider finitely repeated Prisoner’s Dilemma and propose the method of sustaining cooperation based on the <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11238_2025_10048_Article_IEq1.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="11" /> </InlineMediaObject> <EquationSource Format="TEX">\(\varepsilon\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>ε</mi> </math></EquationSource> </InlineEquation>-equilibrium in limited retaliation behavior strategies. The main feature of this strategy is that the punishment of a deviated player does not necessarily last until the end of the game. The duration of punishment depends on the stage when deviation happens and it is not uniquely defined. We propose two payment schemes along the cooperative trajectory to sustain cooperation based on limited retaliation strategies. If the payments in the game are organized following these schemes, when they exist, then players have no incentive to deviate and cooperation is sustainable against individual deviations.</p>

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Payment schemes for finitely repeated Prisoner’s Dilemma games

  • Elena M. Parilina,
  • Alena Pisareva,
  • Georges Zaccour

摘要

In the paper we consider finitely repeated Prisoner’s Dilemma and propose the method of sustaining cooperation based on the \(\varepsilon\) ε -equilibrium in limited retaliation behavior strategies. The main feature of this strategy is that the punishment of a deviated player does not necessarily last until the end of the game. The duration of punishment depends on the stage when deviation happens and it is not uniquely defined. We propose two payment schemes along the cooperative trajectory to sustain cooperation based on limited retaliation strategies. If the payments in the game are organized following these schemes, when they exist, then players have no incentive to deviate and cooperation is sustainable against individual deviations.