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Backstory Comparative Advantage
Citation preview
Is Altruism Really Selfless?
“As a general rule, a modern biologist seeing an animal doing something to benefit another assumes either that it is being manipulated by the other individual, or that it is being subtly selfish.” -- George Williams
Was Mother Teresa an Altruist?“If the knowledge of torture of others
makes you sick, it is a case of sympathy... It can be argued that behavior based on sympathy is in an important sense egoistic, for one is oneself pleased at others’ pleasure and pained at others’ pain, and the pursuit of one’s own utility may thus be helped by sympathetic action.”
-- Amartya Sen
BackstoryComparative Advantage
Comparative Advantage(specialization)
Equal Allocation of Resources
Mis-Allocation of Resources
Efficient Allocation of Resources
Reciprocal Altruism = Trade
•Cooperation is the hallmark of the human species
•Optimization via Specialization •Small differences in capability are amplified
and reinforced•Increase in efficiency can maximize “utility”
given an equitable exchange mechanism•If benefits of specialization exceed costs,
utility increased individually and collectively
BackstoryGame Theory
Prisoner’s Dilemma
(one-shot)C D
C -1, -1 -10, 0
D 0, -10 -3, -3
Tit-for-Tat(90%-repeated)
C D
C -11, -11 -40, -30
D -30, -40 -33, -33
Cooperation Between Sisters
(nominal payoffs)C D
C 10, 10 2, 12
D 12, 2 4, 4
Cooperation Between Sisters
(50% inclusive fitness)C D
C 15, 15 8, 13
D 13, 8 6, 6
Action Benefit/Cost
Gain resource +20
Lose resource 0
Injury to self -40
Cost of display -4
Hawks vs. Doves(pure strategies)
Hawks vs. Doves(payoff matrix)
H D
H -10, -10 20, 0
D 0, 20 6, 6
Bourgeois Strategy(mixed strategy)
•If you own the resource, fight for it like a Hawk
•Otherwise, compete for it with displays like a Dove
Bourgeois Strategy(payoff matrix)
H D B
H -10, -10 20, 0 5, -5
D 0, 20 6, 6 3, 13
B -5, 5 13, 3 10, 10
Current StoryThe Paper
“The evolution of cooperation in sizable groups of non-kin in humans has been and continues to be the subject of debate...
...fundamental questions remain about the number and nature of the cognitive mechanisms that underpin human cooperative psychology and whether there are stable individual differences in these mechanisms.”
Premise
“Agent-based simulations of the evolutionary dynamics of interacting strategies, which generally embody this assumption, that an agent’s type is stable, causing it to use the same strategy until its simulated death, have helped to inform these issues.
Experimental results of the kind reported here can be useful for clarifying whether the assumption of stable types in the realm of human cooperation as assumed by simulations is justified, and, if it is, how best to characterize these types.”
“In line with types used in simulations and observed in other experimental contexts, we consider the hypothesis that people are one of three stable types: ”
•Cooperators: contribute to generating group benefits at a cost to self
•Free-riders: who do not incur these costs
•Reciprocators: who respond to others’ behavior by using a conditional strategy
Experimental Design•84 subjects, undergraduates•3 groups of 24, one group of 12•Meet in groups of 4, randomly chosen
and permuted between rounds•Play 7-10 games, time permitting (min
7)•First 7 games ‘in-sample’•Extra games ‘out-of-sample,’ used the
check error-rate•10 question quiz pre-game (to remove
“confusion” confound)
Game design•Public-Goods game•Multi-player (> 2 person)•Repeated (why is this important?)•Random lengths, 96% chance of repeat•Game lengths: 16, 7, 23, 32, 32, 34, 4,
17, 31, 8•Randomization methods not explained to
players (grouping or duration)•Anonymized via computer terminals
Important features!•Players can’t predict who they are
playing against (why is this important?)•Players feel anonymous (why is this
important?)•Players can’t predict when game will end•Players can see what group contributions
are (but not individual)•Players can change their previous
contributions to punish/reward group behavior
Game Play•50 tokens per person•4 players•Divide tokens between Group and
Individual accounts•Group account is doubled by
experimenter and paid out at end
Game Play (cont)• Individual contributions equal 1.0 cent to
the individual•Group contributions equal 0.5 cent to the
individual •Simultaneous initial contributions,
followed by sequential individual turns until game ends
•Each individual is guaranteed at least one chance to update their previous contribution
“This generates a social dilemma, where the group optimum is achieved only when each individual makes a decision that is contrary to her or his income-maximizing self-interest .”
Classification Methods
•Statistical, top-down method•Linear Conditional-Contribution
Profile•(See whiteboard for explanation)•Alternative, emergent classifications
possible (House, Keane, McCabe, 2004 Econometrica)
Linear Conditional-Contribution Profile
“The intercept provides a measure of how willing a subject is to cooperate even when his or her group counterparts contribute little to the public good. The slope measures a subject’s responsiveness, both in direction and magnitude, to others’ contributions.”
“...the decisions subjects made in games used for classification purposes predict well the decisions they made in games played afterward. Hence, the evidence is that our type classifications are valid, and that our model, although simple, nevertheless provides useful and reliable results.”
Findings• Stable, polymorphic equilibrium in type
distributions• 17 Free-riders (20%), 11 Cooperators (63%),
53 Reciprocators (13%), 3 not classifiable (4%)
• Higher payoffs to groups with higher cooperation score
• Relatively consistent payoffs between types• 70.0 Cooperators to 77.5 Free-riders out of a
possible range of values 25 - 125 • Average contributions decay over time: from
60% initially down to ~35% at end
Polymorphic Distribution