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OVERCOMING COORDINATION FAILURE THROUGH NEIGHBORHOOD CHOICE ~AN EXPERIMENTAL STUDY~ Maastricht University Arno Riedl Ingrid M.T. Rohde Martin Strobel
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Introduction: Why ? Laboratory: people fail to coordinate on surplus maximizing equilibria Reality: people able to agree on rather efficient arrangements ∆ ? ∆ ? Largely neglected in the experimental and theoretical economic literature Our hypothesis Endogenous choice of interaction partners is a powerful force to achieve coordination on the payoff dominant equilibrium Interaction structure Possibility to choose interaction partners
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Coordination game Representation during experiment your colour colour of your your earnings earnings of your neighbour neighbour blue blue 95 points 95 points blue green 5 points 90 points green blue 90 points 5 points green green 75 points 75 points BG B95,95 5,90 G 90,575,75 Payoff dominant equilibrium Risk dominant equilibrium
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Experiment: Repeated Network Game simultaneously group size = 6 players two time blocks of 30 periods full information Decisions player i: I. Network formation # neighbors Two parameters: 1. One-sided vs. two-sided link formation 2. Costless vs. costly link formation II. Coordination game: 1 strategy
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Implications Network Game Link formation 6 players Total possible # links proposed: 30 links Total possible # links formed: 15 links Coordination game BG B95,95 5,90 G 90,575,75 Blue very risky complete network need all 5 other players to play B in order for you to play B as well
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Experiment: Treatments Experimental treatments Cost forming link = 80 points Control treatment : exogenously fixed complete network search “stable” equilibrium strategy & network structure Link formation one- sided two- sided Linking cost costlessIII costlyIII
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Repeated network game: our predictions Punishment: efficiency enforcers trade off rd versus pd action no threat punishment hunt complete network risk dominance One-sided, costl ess One sided, costly Two-sided, costless Control treatment Additional coordination problem no threat punishment small & unstable networks complete network payoff dominance risk dominance
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Actual Experiment Computerized experimental sessions at BEE laboratory Maastricht 210 subjects: Students Maastricht University Each treatment : 3 sessions 1 session == 18 subjects 9 independent 1 group == 6 subjects observations One sided costly: 8 observations Each session took approximately two hours Average earning per subject: 26.05 Euro
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Results: what is actually played.2.4.6.8 1 Frequency 01020 30 Round one sided costly one sided costless two sided costless full fixed part 1 Frequency payoff dominant play Round 1 No significant ∆ among the four treatments in payoff dominant play Overall (1) Significant ∆ treatments with endogenous network structure vs. control treatment Overall (2) Increase played payoff dominant eq played with endogenous network structure, decrease in control treatment payoff dominant equilibrium / total play
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Network: link structure.4.6.8 1 Frequency 0102030 Round one sided costly one sided costless two sided costless full fixed Part I Network density 0.1.2.3.4.5 Frequency 0102030 Round one sided costly one sided costless two sided costless Part I Excess links Overall: One sided costless: complete network Two sided costless: punishment One sided costly: additional coordination problem Overall: One sided costless: all links proposed Two sided costless: no full reciprocation efficiency enforcers One sided costly: add.coordination problem not solved
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0.2.4.6.8 1 ff2snoc1snoc1sc frpdpdfrpr frrdrdfrnoplay Results: play Overall: Two sided costless:CG not always played One sided costly: CG not always played Overall: Endogenous treatments: surplus max. eq. Costly highest coordination surplus max. eq. Overall: One sided costly: coordination problem Two sided costless: much eq. play less off eq. play 0.2.4.6.8 1 ff2snoc1snoc1sc frpdpdfrpr frrdrd Actual # Play / 15Actual play/ total actual playTotal play/ possible play
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Further tests: Why these results? Network structure vs action choice Action choice history vs. link proposal Individual data on: risk preferences: ten paired lottery (Holt Laurey, 2002) Generalized preferences on equality & efficiency personality traits: Brandstaetter 32 questions
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Conclusion Our hypothesis Endogenous choice of interaction partners is a powerful force to achieve coordination on the payoff dominant equilibrium strong support for our hypothesis!
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