# Data | Testing the Red King Hypothesis ### Project description — The cultural red king hypothesis predicts that differentials in group size may lead to inequitable outcomes for minority groups even in the absence of explicit or implicit bias. We test this prediction in an experimental context where subjects divided into groups engage in repeated play of a simplified Nash demand game. We ran 14 trials involving a total of 112 participants. The results of the experiments are significant and suggestive: individuals in minority groups do indeed end up making low demands more frequently than those in majority groups, and so receive lower payoffs. ### Data description — The data consists of the recorded behavior of 112 (anonymized) participant from 14 sessions. In each session, 8 participants played a simple Nash demand game for 100 rounds. Each CSV file, e.g., Experiment-01.CSV, contains the recorded behavior of one session of 8 individuals playing 100 rounds. In each file, players 1 and 2 were minority group members and were matched randomly with players 3 to 8 who were majority group members. Thus, minority group members each played all 100 rounds while majority group members played 33 (or 34) rounds. The game table for the simple Nash demand game is as follows: |||| |-|:-:|-:| || Choose 4 | Choose 6 | | Choose 4 | (4,4) | (4,6) | | Choose 6 | (6,4) | (0,0) | |||| Where, for example the entry (6,4) reflects that row player gets a payoff of 6 for playing 'Choose 6' while column player gets a payoff of 4 for playing 'Choose 4'. The resulting payoffs are recorded for each player (1 to 8) for each round (1 to 100). A payoff of 4 implies the player chose 4 and so received 4. A payoff of 6 reflects that the player chose 6 and received 6. A payoff of 0 reflect that the player chose 6 and received 0. And a payoff of -1 is simply meant to denote that the player did not play that round.