Experimental Design Details
The game between lead donor (PLAYER 2) and follower donor (PLAYER 3) proceeds in a similar fashion across the 4 treatments. PLAYER 2 and PLAYER 3 are each given an initial endowment of 40 tokens, which they allocate sequentially between private consumption and a public project. In order to simplify donors' contribution decision, under lump sum, each of PLAYER 2 and PLAYER 3 is allowed to a make lump sum contribution in multiples of ten up to their endowment of 40 tokens, resulting in 5 possible strategies for each player in {0,10,20,30,40}. Under matching, PLAYER 3's choice set remains the same as lump sum, but PLAYER 2 makes a commitment to a matching percentage in {0%,25%,50%,75%,100%} of PLAYER 3's contribution. In order to keep the set of possible contribution amounts the same across the two schemes, the resulting matching contribution by PLAYER 2 will be rounded down to the nearest multiple of 10.
Under the Control, the return form the public project is commonly known to have an MPCR of 0.7 for contributions up to 40 and 0.1 for higher contributions. In the main treatment, there will be two types of public project, low and high quality, that are publicly known to be equally likely. The MPCR for the low quality project is the same as in the Control, and that of the high quality project is 1.2 for contributions up to 60 and 0.6 for higher contributions. We provide payoff tables to the subjects during the experiment, since computing payoffs in the matching scheme entails an additional step of calculating the contribution amount of PLAYER 2 from the match ratio and we prefer to avoid this complexity impacting the choice of scheme and the contribution decisions.
The above mentioned game is played for 10 incentivized rounds with random-matching. Additionally, before the 10 rounds, players will play 10 other incentivized rounds with random matching, where the game is exactly the same as the following 10 rounds, except for the fact that the fundraising scheme is exogenously set by the experimenter to lump sum or matching gift (5 rounds of each with random order). During these first 10 rounds, PLAYER 1 is a non-strategic player and simply collects a payoff from the contributions of the other two players. This ensures that PLAYER 1 understands how the game is played by downstream players, before making her own strategic decisions. We will also be sure to collect enough balanced data on both fundraising schemes.
In each of the 20 incentivized rounds, as well as 3 practice rounds, subjects are randomly and anonymously re-matched into groups of 3 with one of each role. However, a subject’s role remains the same throughout the session. One of the incentivized rounds will be randomly chosen for monetary payment based on the choices made in that round.
In each round, we collect data on PLAYER 1's scheme choice, and PLAYER 2 and PLAYER 3's contribution decisions. We also elicit beliefs by PLAYER 1 and PLAYER 2 regarding the decisions made by downstream players, and beliefs held by PLAYER 2 and PLAYER 3 regarding the quality of the public project. We incentivize them to make a correct guess by awarding 4 bonus tokens for correct guesses. We also collect behavioral responses to complement the experimental economic data. Eye tracking data will be recorded using Tobii Spectrum eye-tracking devices to reveal visual attention to information presented and how the format and complexity of the experiment affect the respondent's choices. The information collected includes the time to first fixation or how long it took participants to look at an area of interest for the first time; fixation duration or how long they looked at each area; and fixation count or how many times they look at an area. The eye tracking data will help us understand the process and strategic considerations used by participants to make their choices. We will also monitor participant's emotions using facial expression analysis to detect overall positive, negative, or neutral emotional responses. All the data is synchronized and recorded simultaneously to obtain a complete behavioral picture of participants.