Abstract

In a simple model of conflict, two agents fight over a fixed prize, and how hard they fight depends on what they believe about their abilities. To this model I add “preagents,” representing parents, leaders, or natural selection, who choose each agent’s confidence in his ability. Depending on the reason for such confidence, I find five different patterns in how confidence varies with ability. Agents who estimate their ability with error have under-confidence when ability is high and over-confidence when ability is low, while strategic commitment incentives induce the opposite pattern. Agents who misjudge their value for the prize, relative to their cost of effort, induce an overor under-confidence that is independent of ability, while cooperating pre-agents choose extreme under-confidence. Agents who use confidence to signal ability have a relatively uniform over-confidence.