Suppose we ran a tournament for agents running a mix of strategies. Let’s say agents started with 100 utilons each, and were randomly allocated to be members of 2 groups (with each group starting off containing 10 agents).
Each round, an agent can spend some of their utilons (0, 2 or 4) as a gift split equally between the other members of the group.
Between rounds, they can stay in their current two groups, or leave one and replace it with a randomly picked group.
Each round after the 10th, there is a 1 in 6 chance of the tournament finishing.
How would the option of neutral (gifting 2) in addition to the build (gifting 4) or break (gifting 0) alter the strategies in such a tournament?
Would it be more relevant in a variant in which groups could vote to kick out breakers (perhaps at a cost), or charge an admission (eg no share in the gifts of others for their first round) for new members?
What if groups could pay to advertise, or part of a person’s track record followed them from group to group? What if the benefits from a gift to a group (eg organising an event) were not divided by the number of members, but scaled better than that?
What is the least complex tournament design in which the addition of the neutral option would cause interestingly new dynamics to emerge?
Suppose we ran a tournament for agents running a mix of strategies. Let’s say agents started with 100 utilons each, and were randomly allocated to be members of 2 groups (with each group starting off containing 10 agents).
Each round, an agent can spend some of their utilons (0, 2 or 4) as a gift split equally between the other members of the group.
Between rounds, they can stay in their current two groups, or leave one and replace it with a randomly picked group.
Each round after the 10th, there is a 1 in 6 chance of the tournament finishing.
How would the option of neutral (gifting 2) in addition to the build (gifting 4) or break (gifting 0) alter the strategies in such a tournament?
Would it be more relevant in a variant in which groups could vote to kick out breakers (perhaps at a cost), or charge an admission (eg no share in the gifts of others for their first round) for new members?
What if groups could pay to advertise, or part of a person’s track record followed them from group to group? What if the benefits from a gift to a group (eg organising an event) were not divided by the number of members, but scaled better than that?
What is the least complex tournament design in which the addition of the neutral option would cause interestingly new dynamics to emerge?