Table 1. Payoff matrix of one-round IADC.
Role | Participant | Initial endowment (MU) |
Individual contribution (Ii) |
Group pool (G) | Payment | ||
---|---|---|---|---|---|---|---|
Attackers lose GAttacker ≤ GDefender |
Attackers win GAttacker > GDefender |
||||||
Leftover | Leftover | Spoil | |||||
Attack | Attacker-1 | 20 | IAttacker-1 | GAttacker |
20 − IAttacker-1 | 20 − IAttacker-1 | (60 − GDefender)/3 |
Attacker-2 | 20 | IAttacker-2 | 20 − IAttacker-2 | 20 − IAttacker-2 | (60 − GDefender)/3 | ||
Attacker-3 | 20 | IAttacker-3 | 20 − IAttacker-3 | 20 − IAttacker-3 | (60 − GDefender)/3 | ||
Defend | Defender-1 | 20 | IDefender-1 | GDefender |
20 − IDefender-1 | 0 | 0 |
Defender-2 | 20 | IDefender-2 | 20 − IDefender-2 | 0 | 0 | ||
Defender-3 | 20 | IDefender-3 | 20 − IDefender-3 | 0 | 0 |
Table note: For each round, each individual received an initial endowment of 20 MUs (Monetary Units).
Each individual decided the amount (Ii , 0 ≤ Ii ≤ 20) to the group’s pool G (0 ≤ G ≤ 60, GAttacker = IAttacker-1+IAttacker-2+IAttacker-3, GDefender = IDefender-1+IDefender-2+IDefender-3). When GAttacker ≤GDefender, attackers failed and defenders survived and all six individuals kept their remaining endowment (leftovers, 20 – Ii). When GAttacker >GDefender, defenders failed and left with 0. The attackers won and took away defenders’ remaining MU (spoils from winning, 60 – GDefender), which were divided equally among attacker group members (each attacker: (60 – GDefender)/3) and added to their remaining endowments (20 – IAttacker-i).