| Literature DB >> 23724095 |
Abstract
Zimbabwean villagers of distinct background have resettled in government-organized land reforms for more than three decades. Against this backdrop, I assess the level of social cohesion in some of the newly established communities by estimating the average preferences for fairness in a structural model of bounded rationality. The estimations are based on behavioral data from an ultimatum game field experiment played by 234 randomly selected households in 6 traditional and 14 resettled villages almost two decades after resettlement. Equal or higher degrees of fairness are estimated in all resettlement schemes. In one, or arguably two, out of three distinct resettlement schemes studied, the resettled villagers exhibit significantly higher degrees of fairness (p ≤ 0.11) and rationality (p ≤ 0.04) than those who live in traditional villages. Overall, villagers appear similarly rational, but the attitude toward fairness is significantly stronger in resettled communities (p ≤ 0.01). These findings are consistent with the idea of an increased need for cooperation required in recommencement.Entities:
Mesh:
Year: 2013 PMID: 23724095 PMCID: PMC3665684 DOI: 10.1371/journal.pone.0064791
Source DB: PubMed Journal: PLoS One ISSN: 1932-6203 Impact factor: 3.240
Comparison of household demographics, wealth, within-village linkages, and village ethnic composition in resettled and traditional areas.
| Resettled villages | Traditional villages | Range of village means | ||||
| In the years 1999 to 2001 | N | MN | N | MN | Resettled | Traditional |
| Nonreligious memberships | 557 | 4.09 | 143 | 1.52* | 1.00–7.50 | 0.78–3.14 |
| Household size | 394 | 9.39 | 143 | 5.9* | 5.73–14.20 | 5.00–6.88 |
| Women 15-60 y | 394 | 0.28 | 143 | 0.27 | 0.20–0.34 | 0.20–0.32 |
| Young <15 y | 394 | 0.4 | 143 | 0.41 | 0.33–0.50 | 0.42–0.46 |
| Aged >60 y | 394 | 0.08 | 143 | 0.11* | 0.03–0.12 | 0.06–0.20 |
| Livestock | 568 | 13.59 | 145 | 7.71* | 7.29–25.15 | 6.35–7.47 |
| Marriage ties | 753 | 0.81 | 188 | 0.91 | 0.06–1.87 | 0.53–1.86 |
| Extended family ties | 753 | 5.76 | 188 | 0.55* | 0.00–1.56 | 1.42–10.81 |
| Nuclear family ties | 753 | 0.3 | 188 | 1.91* | 0.00–0.68 | 0.82–2.83 |
| Some initial social capital | 723 | 0.83 | 245 | 1* | 0.42–1.00 | 1.00–1.00 |
| Ethnic dominance | 22 | 40.77 | 6 | 49.67 | 0.19–1.00 | 0.32–0.70 |
| Ethnic diversity | 22 | 5.95 | 6 | 5.33 | 1.00–11.00 | 4.00–6.00 |
| Number of households | 22 | 37 | 6 | 46.17* | 13.00–64.00 | 34.00–63.00 |
Adopted from Barr who provides the variable definitions and assumes that close and extended family ties predate resettlement and so can count as a special type of initial condition. Some initial social capital reflects the proportion of households that knew any other households prior to resettlement who resettled nearby; it is set equal to 1 for traditional villages. Data sources: Barr, Dekker and Kinsey [10], [13], [40].
Summary of ultimatum game bargaining experiment.
| All | Mupfurudzi | Mutanda | Sengezi | ||||||||||
| Villagers | Action | N | MN | SD | N | MN | SD | N | MN | SD | N | MN | SD |
| All | Offer | 117 | 0.44 | 0.11a | 34 | 0.44 | 0.11b | 19 | 0.45 | 0.10 | 64 | 0.44 | 0.12 |
| Rejection rate | 117 | 0.08 | 0.27 | 34 | 0.06 | 0.24 | 19 | 0.05 | 0.23 | 64 | 0.09 | 0.29 | |
| … if offer<0.5 | 38 | 0.24 | 0.43c | 12 | 0.17 | 0.39 | 5 | 0.20 | 0.45 | 21 | 0.29 | 0.46 | |
| … if offer<0.3 | 13 | 0.46 | 0.52d | 3 | 0.33 | 0.58e | 2 | 0.50 | 0.71 | 8 | 0.50 | 0.54 | |
| Resettled | Offer | 86 | 0.45 | 0.10 | 25 | 0.46 | 0.08 | 9 | 0.48 | 0.04 | 52 | 0.45 | 0.12 |
| Rejection rate | 86 | 0.07 | 0.26 | 25 | 0.04 | 0.20 | 9 | 0.00 | 0.00 | 52 | 0.10 | 0.30 | |
| … if offer<0.5 | 24 | 0.25 | 0.44 | 7 | 0.14 | 0.38 | 2 | 0.00 | 0.00 | 15 | 0.33 | 0.49 | |
| … if offer<0.3 | 7 | 0.57 | 0.54 | 1 | 1.00 | 0 | 6 | 0.50 | 0.55 | ||||
| Traditional | Offer | 31 | 0.41 | 0.14 | 9 | 0.38 | 0.17 | 10 | 0.43 | 0.13 | 12 | 0.41 | 0.13 |
| Rejection rate | 31 | 0.10 | 0.30 | 9 | 0.11 | 0.33 | 10 | 0.10 | 0.32 | 12 | 0.08 | 0.29 | |
| … if offer<0.5 | 14 | 0.21 | 0.43 | 5 | 0.20 | 0.45 | 3 | 0.33 | 0.58 | 6 | 0.17 | 0.41 | |
| … if offer<0.3 | 6 | 0.33 | 0.52 | 2 | 0.00 | 0.00 | 2 | 0.50 | 0.71 | 2 | 0.50 | 0.71 | |
Superscripts denote significant differences in the mean UG behaviors of resettled and traditional villagers in the area. aT-test and Mann-Whitney Wilcoxon test for the equality of mean offers (p≤0.05). bT-test for the equality of mean offers (p≤0.10). cChi-square test for the equality of the rejected proportions of offers smaller than half (p≤0.10). dFisher's exact test for the equality of the rejected proportions of offers smaller than 30 percent (p≤0.10). eFisher's exact test for the equality of the rejected proportions of offers smaller than 30 percent (p = 0.16). Data source: Barr [13].
Figure 1Observed and predicted offer distributions and rejection rates in all areas.
Dashed lines indicate actual play. Solid lines indicate model prediction. Blue lines and upward-pointing triangle indicate resettled villages. Red lines and downward-pointing triangle indicate traditional villages. Data source: Barr [13].
Figure 2Observed and predicted offer distributions and rejection rates in Mupfurudzi.
Dashed lines indicate actual play. Solid lines indicate model prediction. Blue lines and upward-pointing triangle indicate resettled villages. Red lines and downward-pointing triangle indicate traditional villages. Data source: Barr [13].
Figure 3Observed and predicted offer distributions and rejection rates in Mutanda.
Dashed lines indicate actual play. Solid lines indicate model prediction. Blue lines and upward-pointing triangle indicate resettled villages. Red lines and downward-pointing triangle indicate traditional villages. Data source: Barr [13].
Figure 4Observed and predicted offer distributions and rejection rates in Sengezi.
Dashed lines indicate actual play. Solid lines indicate model prediction. Blue lines and upward-pointing triangle indicate resettled villages. Red lines and downward-pointing triangle indicate traditional villages. Data source: Barr [13].
Observed and predicted offer distributions.
| All | Mupfurudzi | Mutanda | Sengezi | |||||||||||||||||
| br≠bt ∧ λr≠λt | br = bt ∧ λr = λt | br≠bt ∧ λr≠λt | br≠bt ∧ λr≠λt | |||||||||||||||||
| Resettled | Traditional | All | Resettled | Traditional | Resettled | Traditional | ||||||||||||||
| Offer | N | Actual | Model | N | Actual | Model | N | Actual | Model | N | Actual | Model | N | Actual | Model | N | Actual | Model | N | Actual |
| 0 | 0 | 0 | 0.01 | 1 | 0.03 | 0.01 | 0 | 0 | 0.02 | 0 | 0 | 0.00 | 0 | 0 | 0.00 | 0 | 0 | 0.01 | 1 | 0.11 |
| 0.1 | 2 | 0.02 | 0.01 | 1 | 0.03 | 0.01 | 3 | 0.05 | 0.02 | 0 | 0 | 0.00 | 0 | 0 | 0.00 | 0 | 0 | 0.01 | 0 | 0 |
| 0.2 | 5 | 0.06 | 0.01 | 4 | 0.13 | 0.01 | 5 | 0.08 | 0.03 | 0 | 0 | 0.00 | 2 | 0.20 | 0.00 | 1 | 0.04 | 0.01 | 1 | 0.11 |
| 0.3 | 3 | 0.03 | 0.06 | 0 | 0 | 0.06 | 2 | 0.03 | 0.12 | 0 | 0 | 0.00 | 0 | 0 | 0.00 | 1 | 0.04 | 0.01 | 0 | 0 |
| 0.4 | 14 | 0.16 | 0.36 | 8 | 0.26 | 0.36 | 11 | 0.17 | 0.33 | 2 | 0.22 | 0.22 | 1 | 0.10 | 0.22 | 5 | 0.20 | 0.30 | 3 | 0.33 |
| 0.5 | 59 | 0.69 | 0.37 | 17 | 0.55 | 0.37 | 40 | 0.63 | 0.31 | 7 | 0.78 | 0.78 | 7 | 0.70 | 0.78 | 18 | 0.72 | 0.58 | 4 | 0.44 |
| 0.6 | 3 | 0.03 | 0.12 | 0 | 0 | 0.12 | 3 | 0.05 | 0.13 | 0 | 0 | 0.00 | 0 | 0 | 0.00 | 0 | 0 | 0.07 | 0 | 0 |
| 0.7 | 0 | 0 | 0.02 | 0 | 0 | 0.02 | 0 | 0 | 0.03 | 0 | 0 | 0.00 | 0 | 0 | 0.00 | 0 | 0 | 0.00 | 0 | 0 |
| 0.8 | 0 | 0 | 0.00 | 0 | 0 | 0.00 | 0 | 0 | 0.00 | 0 | 0 | 0.00 | 0 | 0 | 0.00 | 0 | 0 | 0.01 | 0 | 0 |
| 0.9 | 0 | 0 | 0.00 | 0 | 0 | 0.00 | 0 | 0 | 0.00 | 0 | 0 | 0.00 | 0 | 0 | 0.00 | 0 | 0 | 0.01 | 0 | 0 |
| 1 | 0 | 0 | 0.01 | 0 | 0 | 0.01 | 0 | 0 | 0.00 | 0 | 0 | 0.00 | 0 | 0 | 0.00 | 0 | 0 | 0.01 | 0 | 0 |
| Correlation | 0.73*** | 0.78*** | 0.68*** | 1.00*** | 0.96*** | 0.97*** | 0.98*** | |||||||||||||
b≠b ∧ λ≠λ indicates the offer distributions are predictions of a model with unequal fairness and rationality estimates that depend on resettlement status; t traditional, r resettled. b = b ∧ λ = λ indicates predictions of a model with similar fairness and rationality estimates for resettled and traditional villagers.
Weighted correlation between observed and predicted proposer behavior, i.e., offers. Stars denote significance at 1 percent level. Data source: Barr [13].
Observed and predicted rejection rates.
| All | Mupfurudzi | Mutanda | Sengezi | |||||||||||||||||
| br≠bt ∧ λr≠λt | br = bt ∧ λr = λt | br≠bt ∧ λr≠λt | br≠bt ∧ λr≠λt | |||||||||||||||||
| Resettled | Traditional | All | Resettled | Traditional | Resettled | Traditional | ||||||||||||||
| Offer | N | Actual | Model | N | Actual | Model | N | Actual | Model | N | Actual | Model | N | Actual | Model | N | Actual | Model | N | Actual |
| 0 | 0 | 1.00 | 1 | 0 | 0.96 | 0 | 1.00 | 0 | 1.00 | 0 | 0.99 | 0 | 1.00 | 1 | 0 | |||||
| 0.1 | 2 | 0.50 | 1.00 | 1 | 1 | 0.81 | 3 | 0.67 | 0.99 | 0 | 1.00 | 0 | 0.92 | 0 | 1.00 | 0 | ||||
| 0.2 | 5 | 0.60 | 0.95 | 4 | 0.25 | 0.50 | 5 | 0.40 | 0.82 | 0 | 1.00 | 2 | 0.50 | 0.63 | 1 | 1 | 1.00 | 1 | 0 | |
| 0.3 | 3 | 0 | 0.47 | 0 | 0.23 | 2 | 0 | 0.36 | 0 | 1.00 | 0 | 0.26 | 1 | 0 | 0.91 | 0 | ||||
| 0.4 | 14 | 0.14 | 0.09 | 8 | 0.13 | 0.10 | 11 | 0.18 | 0.11 | 2 | 0 | 0.00 | 1 | 0 | 0.10 | 5 | 0 | 0.09 | 3 | 0.33 |
| 0.5 | 59 | 0 | 0.03 | 17 | 0 | 0.05 | 40 | 0 | 0.05 | 7 | 0 | 0.00 | 7 | 0 | 0.05 | 18 | 0 | 0.01 | 4 | 0 |
| 0.6 | 3 | 0 | 0.03 | 0 | 0.03 | 3 | 0 | 0.04 | 0 | 0.00 | 0 | 0.03 | 0 | 0.02 | 0 | |||||
| 0.7 | 0 | 0.05 | 0 | 0.03 | 0 | 0.05 | 0 | 0.00 | 0 | 0.03 | 0 | 0.22 | 0 | |||||||
| 0.8 | 0 | 0.24 | 0 | 0.03 | 0 | 0.11 | 0 | 1.00 | 0 | 0.05 | 0 | 0.98 | 0 | |||||||
| 0.9 | 0 | 0.82 | 0 | 0.04 | 0 | 0.36 | 0 | 1.00 | 0 | 0.09 | 0 | 1.00 | 0 | |||||||
| 1 | 0 | 0.99 | 0 | 0.07 | 0 | 0.82 | 0 | 1.00 | 0 | 0.23 | 0 | 1.00 | 0 | |||||||
| Correlation | 0.91*** | 0.64*** | 0.91*** | NA | 1.00*** | 0.72*** | –0.24 | |||||||||||||
| CorrelationPR | 0.73*** | 0.69*** | 0.65*** | 1.00*** | 0.97*** | 0.89*** | 0.45* | |||||||||||||
b≠b ∧ λ≠λ indicates the offer distributions are predictions of a model with unequal fairness and rationality estimates that depend on resettlement status; t traditional, r resettled. b = b ∧ λ = λ indicates predictions of a model with similar fairness and rationality estimates for resettled and traditional villagers.
Weighted correlation between observed and predicted responder behavior, i.e., rejection rates. Weighted correlation between observed and predicted proposer and responder behavior, i.e., offers and rejection rates. Stars denote significance at the 10 and 1 percent level. Data source: Barr [13].
Estimation results of the logit equilibrium models.
| Model 1 | Model 2 | Model 3 | |||||||||||||||
| br≠bt ∧ λr≠λt | br = bt ∧ λr≠λt | br≠bt ∧ λr = λt | |||||||||||||||
| b | λ | b | λ | b | λ | ||||||||||||
| Area | Villagers | N | Coef. | SE | Coef. | SE | –ln L | Coef. | SE | Coef. | SE | –ln L | Coef. | SE | Coef. | SE | –ln L |
| All | All | 117 | 9.80 | 3.76 | 6.19 | 0.55 | 210.07 | ||||||||||
| All | Resettled | 86 | 13.97 | 6.12 | 6.83 | 0.74 | 139.30 | 10.38 | 4.17 | 6.81 | 0.71 | 140.52 | 14.04 | 6.15 | 6.55 | 0.56 | 139.44 |
| Traditional | 31 | 4.39 | 6.03 | 5.74 | 2.62 | 64.68 | 4.86 | 3.31 | 67.34 | 3.80 | 6.39 | 65.09 | |||||
| Mupfurudzi | All | 64 | 10.04 | 5.39 | 5.96 | 0.64 | 118.00 | ||||||||||
| Mutanda | All | 19 | 17.82 | 16.19 | 7.15 | 13.23 | 28.84 | ||||||||||
| Sengezi | All | 34 | 8.18 | 8.62 | 6.35 | 4.84 | 61.79 | ||||||||||
| Mupfurudzi | Resettled | 52 | 10.21 | 6.91 | 5.89 | 0.71 | 96.37 | 10.05 | 5.61 | 5.90 | 0.73 | 96.37 | 10.19 | 7.02 | 5.96 | 0.66 | 96.37 |
| Traditional | 12 | 9.30 | 13.43 | 6.28 | 17.91 | 21.59 | 6.26 | 10.81 | 21.60 | 9.41 | 14.67 | 21.62 | |||||
| Mutanda | Resettled | 9 | 25.09 | 16.73 | 49.03 | 15.08 | 4.77 | 22.19 | 12.44 | 100.00 | 40.36 | 4.79 | 37.58 | 22.97 | 8.45 | 15.20 | 6.47 |
| Traditional | 10 | 6.39 | 29.71 | 5.93 | 16.30 | 18.86 | 5.37 | 24.40 | 20.10 | 3.87 | 29.69 | 19.69 | |||||
| Sengezi | Resettled | 25 | 27.86 | 11.09 | 9.02 | 17.89 | 28.66 | 14.58 | 11.33 | 9.07 | 27.74 | 29.89 | 26.77 | 12.48 | 7.40 | 4.22 | 29.44 |
| Traditional | 9 | 1.74 | 11.03a | 4.90 | 12.10 | 22.23 | 1.85 | 10.33 | 25.99 | 1.09 | 11.92b | 23.62 | |||||
N denotes the number of proposer and responder pairs. b≠b ∧ λ≠λ denotes a model with fairness and rationality parameters that can depend on resettlement status; t traditional, r resettled. b = b ∧ λ≠λ denotes a model with similar fairness, but different rationality parameters for resettled and traditional villag ers. b≠b ∧ λ = λ denotes a model with different fairness, but similar rationality parameters for resettled and traditional villagers. ln L denotes the log-likelihood of the fitted model. Standard errors are bootstrapped with 1000 repetitions. Coefficients are significant at the 1 percent level unless marked otherwise. The upper bound of λ≤100 was imposed as an upper bound in the maximum likelihood estimation. a,bBootstrapped p-values are 0.15 and 0.20, respectively. Data source: Barr [13].
Summary of hypotheses and tests.
| Hypothesis | Number of parameters | –ln L | |||||||
| Area | H0 | H1 | H0 | H1 | df | H0 | H1 | LR | P-value |
| All | br
| br≠bt ∧ λr≠λt | 2 | 4 | 2 | 210.07 | 203.99 | 12.16 | 0.00 |
| br
| br
| 2 | 3 | 1 | 210.07 | 207.87 | 4.40 | 0.04 | |
| br
| br≠bt ∧ λr
| 2 | 3 | 1 | 210.07 | 204.53 | 11.07 | 0.00 | |
| br
| br≠bt ∧ λr≠λt | 3 | 4 | 1 | 207.87 | 203.99 | 7.76 | 0.01 | |
| br≠bt ∧ λr
| br≠bt ∧ λr≠λt | 3 | 4 | 1 | 204.53 | 203.99 | 1.09 | 0.30 | |
| Mupfurudzi | br
| br≠bt ∧ λr≠λt | 2 | 4 | 2 | 118.00 | 117.96 | 0.09 | 0.96 |
| br
| br
| 2 | 3 | 1 | 118.00 | 117.98 | 0.06 | 0.81 | |
| br
| br≠bt ∧ λr
| 2 | 3 | 1 | 118.00 | 117.99 | 0.02 | 0.88 | |
| br
| br≠bt ∧ λr≠λt | 3 | 4 | 1 | 117.98 | 117.96 | 0.03 | 0.86 | |
| br≠bt ∧ λr
| br≠bt ∧ λr≠λt | 3 | 4 | 1 | 117.99 | 117.96 | 0.07 | 0.80 | |
| Mut. | br
| br≠bt ∧ λr≠λt | 2 | 4 | 2 | 28.84 | 23.62 | 10.43 | 0.01 |
| br
| br
| 2 | 3 | 1 | 28.84 | 24.88 | 7.90 | 0.00 | |
| br
| br≠bt ∧ λr
| 2 | 3 | 1 | 28.84 | 26.16 | 5.36 | 0.02 | |
| br
| br≠bt ∧ λr≠λt | 3 | 4 | 1 | 24.88 | 23.62 | 2.52 | 0.11 | |
| br≠bt ∧ λr
| br≠bt ∧ λr≠λt | 3 | 4 | 1 | 26.16 | 23.62 | 5.07 | 0.02 | |
| Sengezi | br
| br≠bt ∧ λr≠λt | 2 | 4 | 2 | 61.79 | 50.89 | 21.79 | 0.00 |
| br
| br
| 2 | 3 | 1 | 61.79 | 55.87 | 11.83 | 0.00 | |
| br
| br≠bt ∧ λr
| 2 | 3 | 1 | 61.79 | 53.06 | 17.46 | 0.00 | |
| br
| br≠bt ∧ λr≠λt | 3 | 4 | 1 | 55.87 | 50.89 | 9.97 | 0.00 | |
| br≠bt ∧ λr
| br≠bt ∧ λr≠λt | 3 | 4 | 1 | 53.06 | 50.89 | 4.34 | 0.04 | |
df denotes degrees of freedom. ln L denotes the log-likelihood of the fitted model. LR denotes the likelihood-ratio test statistic. P-values stem from a Chi-squared distribution. r,t indicate that estimate depends on resettlement status. Data source: Barr [13].