A static and dynamic experimental analysis

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A static and dynamic experimental analysis Max-Planck-Institute of Economics, Jena in collaboration with Heiko Rauhut & Dirk Helbing December 1, 29

Overview The classical perspective Social norms generate coordination and cooperation I will challenge this claim by demonstrating how social norms can also generate conflict Exemplify my claim with experimental data on the existence of normative conflict (Ultimatum Game, together with Heiko Rauhut and Dirk Helbing) the evolution of normative conflict (bargaining in repeated interactions, together with Heiko Rauhut)

The classical perspective: Social norms generate coordination and cooperation Problem of norm emergence garnered lion s share of attention (Ullmann-Margalit, 1977; Bicchieri, 199; Coleman, 199; Voss, 21, Posner 2) Shadow of the future (Taylor 1976; Axelrod, 1984, Fudenberg & Maskin, 1986, Ellickson, 1991) Altruistic punishment (Yamagishi, 1986, Heckathon, 1989; Ostrom, 1992; Fehr & Ga chter, 22) Social norms enhance cooperation

A perspective of normative conflict All these routes to cooperation require necessary precondition Actors share similar social norms However: Numerous normative alternatives Actors can have the best intentions; nevertheless, behavior perceived as improper Definition: A normative conflict is a conflict which is caused because people adhere to social norms Social norms can generate normative conflict

Normative Conflict in social norms of justice 1% relative outcome y uit eq 5% strength of conflict equality strength of conflict % % 5% relative entitlements 1%

The existence of normative conflict Can heterogeneity of norms be shown in the lab? Does heterogeneity of norms lead to normative conflict?

Recruitment: Participants recieved a 7 pages long Wikipedia article about the Westminster Palace five days in advance Participants were informed that their chance to earn money also depends on how well they prepare this text In the lab: 2 question quiz on the Westminster Palace 1 Euro for each question

, cont d 92 undergraduate students of University of Leipzig participated in 5 sessions two participants bargained over the money they earned in the quiz we used the Ultimatum Game (SPE: offering and accepting ) decisions were elicited allying the strategy vector method the game was one-shot and anonymous (2 seperated PC-labs) one relevant offer is randomly implemented and is accepted if offeri acceptancej

Heterogeneous normative types equity 1 equality 1 Player 2 Player 3 1 1 1 5 population 1 5 Player 2 1 population 1 1 5 cherry picker 1 1 egoistic Player 13 population 1 1 5 5 proposer s offer population 1 5 5 responder s relative effort 5 1 1

The conflict due to different norms is more prevalent than the conflict due to a different norm/egoism weighting 5 1 N=2212 2 N=248 3 N=936 N=1852 4 N=1276 conflict due to commitment conflict due to content N=628 frequencies of conflict (%) responder: equity equality proposer: equity equality equity equality simmilar different all

1 there is considerable heterogeneity in the adherence to social norms of justice there is a high magnitude of normative conflict compared to normal Ultimatum Games the rejection rates are remarkably high (see Gu th, JEBO 1995) The conflict due to different norms is more prevalent than the conflict due to different contents However: the ultimatum game is a static snap shot of an interaction usually, we have the chance to solve normative conflicts in repeated interactions thus, conflicts can diminish (or entrench) in repeated interactions the normative conflict has an important dynamic component

The evolution of normative conflict Do more norms lead to more and longer conflicts?

takes advantage of the findings in Now: we extend the bargaining process introduce costly delays we apply a variation of the Rubinstein alternating offers model (Econometrica, 1982) instead of the Ultimatum Game

The strategic approach to bargaining two player (1/2) bargain over a pie of size 1 in several periods T {, 1,..., t,... } at each t, both player offers some x /y (, 1) both players accept or reject the other player s offer one offer is randomly implemented if the offer is accepted, the pie is split accordingly if the offer is rejected, we proceed to t +1 Time is valuable: The utility for the outcome of an additional period of bargaining is discounted by δi There exists a SPE which dictates that agreement should be reached immediately (t = ) with players offering and accepting the fraction δ2

48 undergraduate students of University of Jena participated in 2 sessions subjects earn money in a real effort task (knowledge quiz on a previously received text) the players outcomes of the quiz constitute the pie part 1: replicates the previous experiment with 3 normative cues part 2: five repetitions of simultaneous offers bargaining every period, the pie is discounted (δ =.9) the game will be terminated if the pie is too small (less than 1 cent) matching groups of 8 subjects both players give offers and acceptance thresholds in every period one offer is randomly implemented and is accepted if offeri otherwise we proceed to period (t + 1) acceptancej,

Experimental conditions Three treatments, implementing increasing numbers of normative cues C (control): the real effort task is not connected to the pie ( manna condition ) E (effort): a real effort task is used to produce the pie outlook: F (efficiency): subjects are randomly assigned to different efficiency factors i regarding the value of their contribution to the common pie ( 1 = 1, 2 = 3) The more normative cues, the stronger the normative conflict measured by bargaining periods.

Preliminary

Exemplary Interactions E-Treatment (heterogeneous endowments) C-Treatment (homogeneous endowments) 1.8.6.4.2 red s contribution 7 8 9 1 1 2 3 4 5 Period 6 7 1 6 offer acceptance blue s contribution red s contribution 8 9 1 offer acceptance.8 5 Period.6 4 blue s contribution.4 3 red s contribution conflict blue s contribution.2 2 1 1 relative offer / acceptance offer acceptance relative offer / acceptance.8.6 blue s contribution red s contribution.4 agreement relative offer / acceptance.2.4.6.8 offer acceptance.2 relative offer / acceptance 1 1 2 Period 3 4 1 2 3 4 5 Period 6 7 8 9 1

Probability of severe conflict long bargaining ( 3) long bargaining ( 3) b se b se.783224.3788381.8482.5278755.16484-1.784478.32926.1597971-2.264151.618947.2186196.84988.173 1.831485.433889.371495 treat == E Experience Constant Level 1: Subject (N=48) Constant Level 2: Matching Group (N=6) Constant Observations 192 192

2 the existence of multiple, mutually exclusive norms significantly increases the magnitude of normative conflict once a tipping point is passed, conflict becomes very costly

General Positive aspects of cultural diversity Adjustability to different situations and changing conditions Potential for innovations Wisdom of crowds Dark side of cultural diversity: Normative conflict Conflict among holders of equality and equity norms in ultimatum and dynamic bargaining games Altruistic, costly punishment of holders of different norms can lead to steady conflicts

Thank you for your attention! winter@econ.mpg.de

(1) (2) (3) (4) Conflict Conflict Conflict Conflict Fixed effects treat==e.67.619.273.273 Constant (.32).65 (.33).64 (2.6).451 (2.6).451 (4.4) (3.73) (4.56) (4.56) Random effects Level 1: Subject -.62 (-4.72) -1.843-1.323 (-2.21) -.645 Level 2: Matching Group (-4.91) (-4.73) LR-test Observations t statistics in parentheses p -11.66 (-.) -1.323 (-4.91) 4.33e-34 8.9e-33.612.433 192 192 19 19 <.5, p <.1, p <.1