The evolution of fairness
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The Evolution of Fairness. PSC 120 Jeff Schank. Fairness. People engage in fair exchanges of resources even when it would benefit them more to act unfairly Non-human primates exhibit patterns of fair behavior similar to humans Vampire bats often share blood meals with unlucky bats

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The Evolution of Fairness

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The evolution of fairness

The Evolution of Fairness

PSC 120

Jeff Schank


Fairness

Fairness

  • People engage in fair exchanges of resources even when it would benefit them more to actunfairly

  • Non-human primates exhibit patterns offair behavior similar to humans

  • Vampire bats often share blood meals with unlucky bats

  • Juvenile animals often learn to play fairly with each other, which may promote fair behavior as adults

  • Fairness does not obviously benefit the individual, and therein lies the mystery of its evolution


Do people behave fairly

Do People Behave Fairly?

  • Let’s do our own study!


Ultimatum game ug

Ultimatum Game (UG)

  • A little more of a game: First player (Proposer) proposes a split of a resource and the second player (Responder) accepts or rejects the offer

  • If the Responder accepts the offer, the resource is split as proposed; otherwise both players receive nothing

  • Self-Interested Solution: Proposer offers the least amount possible and the Responder accepts any positive amount

  • What people do: Often split it evenly, on average give 40% to the second player


The dictator game dg

The Dictator Game (DG)

  • Hardly a game: the first player simply decides how to divide a resource with a second player

  • Self-interested Solution: Keep it all

  • What people do: Often split it evenly, on average give 28% to the second player


How could fairness evolve

How Could Fairness Evolve?

  • Empathy, Benevolence?

  • Darwin: “It is extremely doubtful whether the offspring of the more sympathetic and benevolent parents, or of those who were the most faithful to their comrades, would be reared in greater numbers than the children of selfish and treacherous parents belonging to the same tribe”

  • But, “A tribe including many members who, from possessing in a high degree the spirit of patriotism, fidelity, obedience, courage, and sympathy, were always ready to aid one another, and to sacrifice themselves for the common good, would be victorious over most other tribes; and this would be natural selection.”

  • One interpretation of the common good is that by fairly distributingrisk and resources within a group, more individuals have the opportunity to survive and reproduce


Group resources

Group Resources

  • Consider two groups of agents playing the DG

  • In one group, all are completely fair and in the other, all are completely selfish

  • If, on a round of play, each agent randomly play another in the group, the expected payoff for each?

    • Isthe same

  • What about the variance?

    • Is not the same


Variance in resources

Variance in Resources


The problem

The Problem

  • Different degrees of fairness generate differences in within-group variance in resources

  • Group selection requires between-group variance in fitness

  • Can within-group variance in resources be converted into between group-variance in fitness?


A simple model

A Simple Model

  • Consider the same two groups as before with exactly the same properties (e.g., age, etc.)

  • On each round, they play for RG resources

  • Assume that each agent needs kRG resources to reproduce

  • Fair agents must play 2krounds to reproduce

  • However, selfish agents reproduce in x = k + r rounds with probability


Timing of reproduction fair vs selfish

Timing of Reproduction: Fair vs. Selfish


An agent based model

An Agent-Based Model

  • Mobility(important for engaging other agents in space)

  • Aggregation(a basic condition for social behaviour)

  • Lifespan

  • Resources requiredfor reproduction

  • Reproduction and heritability (including a mechanism for introducing variation)

  • Parental investment


Decisions and events

Decisions and Events


Simulation conditions

Simulation Conditions

  • Multilevel selection

  • Individual-only selection (agent swaps)

  • Group-only selection

  • Parameter Sweeps

    • Population density

    • Resource cap

    • Parental Investment


Example

Example


Best fit

Best Fit

Multilevel

Individual-only


Results multilevel and individual only

Results: Multilevel and Individual Only


Group selection example

Group Selection Example


Groups only selection simulation

Groups-only Selection Simulation


Conclusions

Conclusions

  • Fairness evolved when agents aggregated into groups and when population density was low

  • It is consistent with any mechanism that reduces within-group variance in resources

  • Maybe a previously unrecognized mechanism for the evolution of cooperation

  • Does it generalize to cultural and economic groups?


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