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Prisoner's Dilemma
Prisoner's Dilemma
Prisoner's Dilemma
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Overview

One of the most popular models in game theory, the prisoner’s dilemma represents a compelling story with a range of takeaways. 

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Lorem ipsum dolor sit amet, consectetur adipiscing elit. Atque haec ita iustitiae propria sunt, ut sint virtutum reliquarum communia. Hoc loco tenere se Triarius non potuit. Duo Reges: constructio interrete. Graecum enim hunc versum nostis omnes-: Suavis laborum est praeteritorum memoria. Beatus autem esse in maximarum rerum timore nemo potest. Ita ne hoc quidem modo paria peccata sunt. Unum est sine dolore esse, alterum cum voluptate. Semper enim ita adsumit aliquid, ut ea, quae prima dederit, non deserat. Quod praeceptum quia maius erat, quam ut ab homine videretur, idcirco assignatum est deo.

At iam decimum annum in spelunca iacet. At, illa, ut vobis placet, partem quandam tuetur, reliquam deserit. Nec vero alia sunt quaerenda contra Carneadeam illam sententiam. Tenesne igitur, inquam, Hieronymus Rhodius quid dicat esse summum bonum, quo putet omnia referri oportere? Dicimus aliquem hilare vivere; Naturales divitias dixit parabiles esse, quod parvo esset natura contenta. Primum in nostrane potestate est, quid meminerimus? Heri, inquam, ludis commissis ex urbe profectus veni ad vesperum.

Quae hic rei publicae vulnera inponebat, eadem ille sanabat. Commoda autem et incommoda in eo genere sunt, quae praeposita et reiecta diximus; Incommoda autem et commoda-ita enim estmata et dustmata appello-communia esse voluerunt, paria noluerunt. Bona autem corporis huic sunt, quod posterius posui, similiora. At habetur! Et ego id scilicet nesciebam! Sed ut sit, etiamne post mortem coletur? Non semper, inquam; Tum ille: Ain tandem? Et ais, si una littera commota sit, fore tota ut labet disciplina.

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Actionable Takeaways
  • Identify win-wins.

Take time to consider the possible win-wins, even with potential competitors. What ar ...

Lorem ipsum dolor sit amet, consectetur adipiscing elit. Aut unde est hoc contritum vetustate proverbium: quicum in tenebris? Qua ex cognitione facilior facta est investigatio rerum occultissimarum. Nihil acciderat ei, quod nollet, nisi quod anulum, quo delectabatur, in mari abiecerat. Quid de Platone aut de Democrito loquar? Itaque hic ipse iam pridem est reiectus; Duo Reges: constructio interrete. Cui Tubuli nomen odio non est? Quod mihi quidem visus est, cum sciret, velle tamen confitentem audire Torquatum. Teneo, inquit, finem illi videri nihil dolere. Quod quidem iam fit etiam in Academia. Ita relinquet duas, de quibus etiam atque etiam consideret. Hoc est non dividere, sed frangere.

Tum ille: Tu autem cum ipse tantum librorum habeas, quos hic tandem requiris? Qui bonum omne in virtute ponit, is potest dicere perfici beatam vitam perfectione virtutis; Serpere anguiculos, nare anaticulas, evolare merulas, cornibus uti videmus boves, nepas aculeis. Potius inflammat, ut coercendi magis quam dedocendi esse videantur. Bork Iam id ipsum absurdum, maximum malum neglegi. Atque his de rebus et splendida est eorum et illustris oratio. Memini vero, inquam; Totum autem id externum est, et quod externum, id in casu est. Eam stabilem appellas. Pudebit te, inquam, illius tabulae, quam Cleanthes sane commode verbis depingere solebat. Habes, inquam, Cato, formam eorum, de quibus loquor, philosophorum.

At ille non pertimuit saneque fidenter: Istis quidem ipsis verbis, inquit; Bork Satis est ad hoc responsum. An quod ita callida est, ut optime possit architectari voluptates?

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Limitations

In real life, we mostly deal with repeated Prisoner's Dilemmas, where we can choose strategies to reward cooperation or punish betrayal over time. The incentives that individual decision-makers face are also altered by collective action such as rules, laws, and social punishment. 

We generally also have the opportunity to communicate within our versions of the prisoner’s dilemma, so we can negotiate and seek a level of confidence not possible in the story.

In Practice

Listen to this amazing podcast episode of golden balls.

Radiolab presents a truly gripping investigation into a game show based on the prisoner's dilemma. It really is fantastic storytelling and is highly recommended as a fascinating insight into this model.  

Global warming. 

If countries acted cooperatively, they would cut carbon emissions to help reduce global warming, possibly taking a hit to their economy as a result (let’s put renewable and green driven economies to one side for this example). However, if a country believes that another country will not take the action required then they might fear for the resulting economic advantage they will gain. The mistrust underlying a cooperative strategy, even when it's in everyone's interests, might lead to an individual strategy rather than a cooperative one.

Cigarette advertising.  

A common example cited in relation to the prisoner’s dilemma is the cigarette industry. When cigarette advertising was legalised in the US competing firms theoretically could benefit from not advertising and sharing the market. If one advertised, they would gain a dominant share, however, if both advertised they would split the market and have less profit because of advertising costs. It is of course more complex than that, particularly in terms of growing a market with advertising, but that challenge plays itself out in a range of contexts. 

Build your latticework
This model will help you to:

The Prioner's Dillema is part of game theory, and provides an understanding of how we can work together, or not. 

Use the following examples of connected and complementary models to weave the prisoner’s dilemma into your broader latticework of mental models. Alternatively, discover your own connections by exploring the category list above.

Connected models: 

  • Game theory: the prisoner’s dilemma is a model from game theory.
  • Mutually assured destruction: in terms of finding a shared, often counterintuitive, interest. 

Complementary models: 

  • Red Queen effect: in considering a potentially escalating competitive environment.
  • Divide and conquer: splitting the battle rather than fighting head on. 
  • Cialdini’s six principles of influence: to create greater connection and trust. 
  • BATNA: in the context of negotiated solutions. 
  • SCARF model: to understand when mistrust and threat dominate.
Origins & Resources

The Prisoner's Dilemma was originally posed by mathematicians Merrill Flood and Melvin Dresher while working for Rand corporation in the 1950s. It was actually named sometime later by Princeton mathematician Albert Tucker.

The model gained a boost of profile when it was featured in Robert Axelrod’s book, The Evolution of Cooperation in 1994. Now in its fifth edition, the book is the foundation for the ‘tit for tat’ strategy outlined in this model’s summary during iterative prisoner’s dilemma scenarios. Though he did note it was dependent on a number of factors. You can read more about his research in this New York Times article.

Finally, if you want to experience the concepts in the Prisoner's Dilemma, it's worth investing about 30m into this free interactive and educational game

My Notes

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