| Literature DB >> 32603364 |
Marc Wyszynski1, Adele Diederich2, Ilana Ritov3.
Abstract
To investigate how neediness and identifiability of a recipient influence the willingness of a donor to invest resources in charity-like lotteries we propose a new game, called 'need game'. Similar to the dictator game, the need game includes two players, one active player (the donor or dictator) and one passive player (the recipient). Both players require a minimum need (ND and NR), expressed in terms of points. The donor is endowed with KD points and must retain at least ND points, i.e., the need, with ND < KD, at the end of the game with n rounds. The recipient starts with KR points and must end the game with at least NR points, i.e., the need, with KR < NR < KD. The donor is asked to choose one of three different amounts from KD to place a bet on a lottery. If won, the gain is added to the endowment. If lost, the recipient receives the points. The recipient is paid only when his/her need threshold is obtained; likewise the donor gets paid only when his/her need threshold is maintained. The main focus here is on need of both players (ND = NR = 2, 200, and ND = NR = 0 serving as baseline control) and the identifiability of the recipient (no information, described by text and picture, and physical presence). We probe whether the amount invested by the donor depends on need and identifiability of the recipient. In addition, we include the framing of the game as gain or loss, different probabilities to win/lose, and different time limits as covariates. We found that each of these factors can play a role when investing in charity-like lotteries.Entities:
Mesh:
Year: 2020 PMID: 32603364 PMCID: PMC7326157 DOI: 10.1371/journal.pone.0234336
Source DB: PubMed Journal: PLoS One ISSN: 1932-6203 Impact factor: 3.240
Fig 1Screenshots of the display.
Need game embedded in a lottery frame either as gain (left) or as loss (right). The probability of winning/losing the bet is presented in a pie chart. In a gain trial, the probability of winning is marked in green and the probability of losing in gray. In a loss trial, the probability of winning is marked in gray and the probability of losing in red. Below the pie charts are the number of points displayed from which the donor can bet on: 1, 10, or 50 points. L, C, and R in front of the bets refer to the keys the participant needs to press to indicate her/his choice. The third row in the display shows the current endowment and need of the donor (“you”) and that of the recipient (“Other person”). The last row indicates the remaining time allotted to a given trial.
Experiment 1: Cumulative link mixed-effects Model 1 and Model 2.
| Factor: | Model 1 | Model 2 | ||||||
|---|---|---|---|---|---|---|---|---|
| Est. | SE | z-value | p-value | Est. | SE | z-value | p-value | |
| Need (2,200) | −.069 | .102 | −.677 | .499 | .042 | .138 | .304 | .761 |
| Identity (picture-ID) | .160 | .102 | 1.569 | .117 | .304 | .151 | 2.010 | .044 |
| Frame (gain) | .486 | .009 | 53.942 | <.001 | .594 | .019 | 31.476 | <.001 |
| Probability (.4) | .362 | .013 | 27.292 | <.001 | .362 | .013 | 27.293 | <.001 |
| Probability (.6) | 1.530 | .013 | 116.552 | <.001 | 1.531 | .013 | 116.580 | <.001 |
| Probability (.7) | 2.130 | .014 | 152.709 | <.001 | 2.131 | .014 | 152.735 | <.001 |
| Time (3s) | .045 | .015 | 2.946 | <.001 | .055 | .018 | 3.115 | .002 |
| Need ×Identity | −.152 | .204 | −.745 | .456 | ||||
| Frame×Need | −.081 | .018 | −4.457 | <.001 | ||||
| Frame×Identity | −.118 | .018 | −6.489 | <.001 | ||||
| Frame×Time | −.021 | .018 | −1.150 | .250 | ||||
| Intercept 1 (1|10) | 1.124 | .094 | 12.01 | 1.223 | .11 | 11.09 | ||
| Intercept 2 (10|50) | 1.975 | .094 | 21.07 | 2.075 | .11 | 18.79 | ||
Number of observations: 81817. Groups (random effects): Participants, 105; Blocks, 4. Dependent variable: choice frequencies. Reference categories of independent variables: Need (0 points), Identity (no-ID), Frame (loss), Time (1s), and Probability (.3). Intercept 1 and 2 are threshold coefficients (cut points).
Experiment 1: Linear mixed-effects model.
| Factor | Est. | SE | t-value | p-value |
|---|---|---|---|---|
| Need (2,200) | 6.68 | 123.016 | .054 | .957 |
| Identity (picture-ID) | 189.064 | 122.992 | 1.537 | .127 |
| Time (3s) | −12.88 | 36.306 | −.355 | .723 |
| (Intercept) | 1439.084 | 113.005 | 12.735 | < .001 |
Number of observations: 411 (blocks). Groups (random effects): Participants, 105. Dependent variable: Recipients’ final block score (amount of points). Reference categories of independent variables: Need (0 points), Identity (no-ID), Time (1s).
Fig 2Proportion (including 95% CI) of experimental blocks per Need and Idenity condition in which the recipient obtained the need level of 2,200 points.
Experiment 2: Cumulative link mixed-effects Model 1 and Model 2.
| Model 1 | Model 2 | |||||||
|---|---|---|---|---|---|---|---|---|
| Est. | SE | z value | p-value | Est. | SE | z value | p-value | |
| Frame (gain) | .478 | .015 | 32.569 | <.001 | .484 | .021 | 23.323 | <.001 |
| Time (3s) | −.033 | .049 | −.668 | .504 | −.026 | .051 | −.519 | .604 |
| Probability (.4) | .261 | .020 | 13.006 | <.001 | .261 | .020 | 13.006 | <.001 |
| Probability (.6) | 1.279 | .021 | 61.537 | <.001 | 1.279 | .021 | 61.537 | <.001 |
| Probability (.7) | 1.817 | .022 | 81.352 | <.001 | 1.817 | .022 | 81.351 | <.001 |
| Frame×Time | −.013 | .029 | −.431 | .667 | ||||
| Intercept 1 (1|10) | .508 | .131 | 3.873 | .511 | .131 | 3.891 | ||
| Intercept 2 (10|50) | 1.443 | .131 | 10.996 | 1.446 | .131 | 11.003 | ||
Number of observations: 30,235. Groups (random effects): Participants, 38; Blocks, 4. Dependent variable: choice frequencies. Reference categories of independent variables: Frame (loss), Time (1s), and Probability (.3). Intercept 1 and 2 are threshold coefficients (cut points).
Combined analysis: Relative choice frequencies per Identity condition.
| Recipient | 1 point | 10 points | 50 points |
|---|---|---|---|
| no-ID | .47 | .23 | .31 |
| picture-ID | .46 | .19 | .35 |
| person-ID | .35 | .25 | .40 |
Overall, participants chose to bet 1 point in 42.1%, 10 points in 22.5% and 50 points in 35.4%.
Combined analysis: Cumulative link mixed-effects model (shortened version).
| Factor: | Est. | SE | z-value | p-value |
|---|---|---|---|---|
| Identity (picture-ID) | .088 | .176 | .502 | .616 |
| Identity (person-ID) | .401 | .151 | 2.656 | .008 |
| Intercept 1 (1|10) | 1.037 | .109 | 9.532 | |
| Intercept 2 (10|50) | 1.896 | .109 | 17.413 |
Number of observations: 75855. Groups (random effects): Participants, 97; Blocks, 4. Dependent variable: choice frequencies. Reference categories: Identity (recipient: no-ID). Intercept 1 and 2 are threshold coefficients (cut points). Full table is shown in S4 Appendix.
Combined analysis: Linear mixed-effects model.
| Factor | Est. | SE | t-value | p-value |
|---|---|---|---|---|
| Identity (picture-ID) | 164.21 | 210.81 | .779 | .438 |
| Identity (person-ID) | 504.36 | 180.92 | 2.788 | .006 |
| Time (3s) | −29.01 | 41.35 | −.702 | .484 |
| (Intercept) | 1462.90 | 130.63 | 11.199 | <.001 |
Number of observations: 381 (blocks). Groups (random effects): Participants, 97. Dependent variable: Recipients’ final block score (amount of points). Reference categories of independent variables: Need (0 points), Identity (no-ID), Time (1s).
Fig 3Proportion (including 95% CI) of experimental blocks within each Identity level in which the recipient obtained the required need level of 2,200 points.