5. Public Goods Game Flashcards
Issues with experimental games
-Games may be complex
-Should we expect NE to hold unconditionally or only on completion of a convergence process
-Is utility entirely determined by payoffs
Describe the generic public good game
Subjects play in groups. Each player chooses to split tokens between private and public account. Tokens in public account give everyone money
Typical findings of public goods game
If game is played once only 20% if people free ride. On average people contribute 40-60% to the public account. If the game is repeated with feedback the contribution rate decays
What are the explanations for why people contribute?
-Error: players are confused about the rules
-Strategic: players may think contributing in early rounds of repeated game will raise future contributions of others
-Preference explanations: altruism, warm glow, conditional cooperation
What is the one sided error problem?
It is the fact that since the dominant strategy is 0 in the standard VCM design, all errors are in the same direction, making it hard to distinguish from intended contributions
What was the aim of the Keser 1996 experiment?
To redesign the game so errors are possible on both side of the NE contribution level. That way we can distinguish between random errors and intended behaviour
Results of Keser 1996 experiment
Average contributions barely drop over time and are always above optimum. This shows over contribution isn’t purely due to errors
What was the aim of Andreoni 1988 experiment?
Aims to separate the learning hypothesis and the strategic hypothesis
Design of Andreoni 1988 experiment
-partners: play game repeatedly in same group
-strangers: groups are randomly redrawn after each round
-surprise restart: 3 extra rounds added on
Results of Andreoni 1988
-people contribute more in strangers- weird result, not been consistently replicated
-decline in contributions over time until new restart then there is a large jump in partner group
Design of Yamakawa 2016 experiment
-Hunan treatment (H): standard VCM with n=2, partners protocol
-Computer treatment (C): same as H, except each group comprises of one human player and a computer with pre determined choice
-HC treatment: same as C except computer plays on behalf of another human who receives its payoff
Results of Yamakawa 2016
Least contribution in C, slightly more in HC. A lot more contribution in H. Relatively constant over time, drops for H in final round
What does the contribution table capture?
The preferences of a subject- how much they are willing to contribute at each level of contribution from others
What is the P experiment?
It is the FGF form of the strategy method used to classify subjects into types of contributors (ie conditional contributors, free riders, and triangle contributors)
What is the C experiment?
Standard 10 round repeated VCM game plus elicitation of beliefs of average contributions of others round by round
What are the incentives in the P experiment?
Any element of the contribution table could affect the payoff of the subject
Breakdown of subjects in FGF 2012 by preference types
55% are conditional cooperators, 23% are free riders, 12% are triangle contributors
Aggregate findings of FGF 2012 experiment
Decay of contributions and decay of beliefs about others’ contribution
Results of individual findings in FGF 2012
-some free riders contribute in early rounds- evidence of strategic thinking
-in one shot game, free riders become perfect free riders
-imperfect conditional cooperators want to undercut contributions they expect from others
-imperfect conditional cooperators and free riders mean that sustained contribution is unlikely
Reciprocity
The desire to reciprocate whatever others give you
When does individual i get positive utility from an increase in the other persons income?
When i has a greater income than the other person
What is the punishment condition in Fehr and Gachter 2000?
Players are told contributions of others and can assign punishment costs to them anonymously. This is costly to both parties
What does the theory predict will happen in punishment?
There will be a solution where no one contributes and no one punished in every round of a finitely repeated game
What are reasons for punishing?
-Strategic
-Reciprocal reasons
-Reduce unfavourable inequality