S.I. 6 Effects on losers

Main effects with ITT sample of respondents who receive an unfavorable outcome.

6.1 Fairness

Figure 3 in the manuscript:

(#tab:205_post_fairness)Treatment effects among losers on fairness perceptions of decision, Study 2

Treatment value	Estimate	Std. Error	t-statistic	p value
Not shown (Intercept)	3.74	0.06	66.58	0.00
Lamenting politician	0.06	0.08	0.77	0.44
Generic good loser message	0.35	0.08	4.54	0.00
Specific good loser message	0.25	0.08	3.28	0.00

6.1.1 Fairness II

Lamenting politician as reference category

(#tab:2055_post_fairness)Treatment effects among losers on fairness perceptions of decision, Study 2

Treatment value	Estimate	Std. Error	t-statistic	p value
Intercept	3.81	0.06	65.48	0.00
Generic good loser message	0.28	0.08	3.65	0.00
Not shown	-0.06	0.08	-0.77	0.44
Specific good loser message	0.19	0.08	2.43	0.02

6.1.2 Fairness moderated by issue importance

(#tab:2050_importance_treatment_fairness)Moderating effects of issue importance on experimental treatment, Study 2

Factor	Issue importance	AME	SE	z-statistic	p value	Lower	Upper
Generic good loser message	1	0.44	0.16	2.74	0.01	0.13	0.76
Generic good loser message	2	0.40	0.10	3.85	0.00	0.19	0.60
Generic good loser message	3	0.35	0.08	4.51	0.00	0.20	0.50
Generic good loser message	4	0.30	0.11	2.69	0.01	0.08	0.52
Generic good loser message	5	0.25	0.17	1.44	0.15	-0.09	0.59
Lamenting politician	1	0.17	0.17	0.97	0.33	-0.17	0.50
Lamenting politician	2	0.10	0.11	0.99	0.32	-0.10	0.31
Lamenting politician	3	0.04	0.08	0.52	0.61	-0.12	0.20
Lamenting politician	4	-0.02	0.13	-0.15	0.88	-0.27	0.23
Lamenting politician	5	-0.08	0.20	-0.41	0.68	-0.47	0.31
Note:
Sample: Respondents with unfavorable outcome.

6.1.3 Fairness moderated by good loser norm

(#tab:2050_norm_treatment_fairness)Moderating effects of norm importance on experimental treatment, Study 2

Factor	Norm importance	AME	SE	z-statistic	p value	Lower	Upper
Generic good loser message	1	0.66	0.30	2.18	0.03	0.07	1.25
Generic good loser message	2	0.54	0.20	2.70	0.01	0.15	0.93
Generic good loser message	3	0.43	0.11	3.87	0.00	0.21	0.64
Generic good loser message	4	0.31	0.08	3.79	0.00	0.15	0.47
Generic good loser message	5	0.20	0.15	1.26	0.21	-0.11	0.50
Lamenting politician	1	0.09	0.31	0.30	0.76	-0.51	0.69
Lamenting politician	2	0.09	0.20	0.42	0.67	-0.31	0.49
Lamenting politician	3	0.08	0.11	0.71	0.47	-0.14	0.30
Lamenting politician	4	0.08	0.09	0.87	0.39	-0.10	0.25
Lamenting politician	5	0.07	0.16	0.44	0.66	-0.24	0.39
Note:
Sample: Respondents with unfavorable outcome.

6.2 Willingnes to accept

(#tab:205_post_accept)Treatment effects among losers on willingness to accept decision, Study 2

Treatment value	Estimate	Std. Error	t-statistic	p value
Not shown (Intercept)	3.52	0.07	47.64	0.00
Lamenting politician	0.07	0.11	0.63	0.53
Generic good loser message	0.29	0.10	2.96	0.00
Specific good loser message	0.19	0.10	1.86	0.06

6.3 Trust in politician

(#tab:205_post_trust)Treatment effects among losers on trust in politician, Study 2

Treatment value	Estimate	Std. Error	t-statistic	p value
Not shown (Intercept)	3.23	0.06	53.21	0.00
Lamenting politician	-0.02	0.09	-0.24	0.81
Generic good loser message	0.11	0.08	1.39	0.17
Specific good loser message	0.15	0.08	1.77	0.08

6.4 Main effects with reduced sample

Main effects with sample that excludes respondents who fail manipulation check

6.4.1 Fairness

(#tab:2045_post_fairness)Treatment effects on fairness perceptions of decision, Study 2. Sample: Respondents who pass manipulation check

Treatment value	Estimate	Std. Error	t-statistic	p value
Not shown (Intercept)	3.76	0.07	53.77	0.00
Lamenting politician	0.04	0.10	0.41	0.68
NA	0.36	0.09	3.89	0.00
Specific good loser message	0.25	0.09	2.64	0.01

6.4.2 Willingnes to accept

(#tab:2045_post_accept)Treatment effects on willingness to accept decision, Study 2. Sample: Respondents who pass manipulation check.

Treatment value	Estimate	Std. Error	t-statistic	p value
Not shown (Intercept)	3.45	0.09	37.95	0.00
Lamenting politician	0.06	0.13	0.47	0.64
Generic good loser message	0.34	0.12	2.80	0.01
Specific good loser message	0.25	0.12	2.03	0.04

6.4.3 Trust in politician

(#tab:2045_post_trust)Treatment effects on trust in politician, Study 2. Sample: Respondents who pass manipulation check.

Treatment value	Estimate	Std. Error	t-statistic	p value
Not shown (Intercept)	3.17	0.07	42.71	0.00
Lamenting politician	0.02	0.11	0.21	0.83
Generic good loser message	0.16	0.10	1.65	0.10
Specific good loser message	0.25	0.10	2.49	0.01