Hume and Convention

How is justice a Hawk-Dove Game? (For my students I also posted this under Week 3 in Blackboard).

Hume makes this possibility clear with the following example (not included in our readings):

"Two Grecian colonies, leaving their native country, in search of new seats, were inform'd that a city near them was deserted by its inhabitants. To know the truth of this report, they dispatch'd at once two messengers, one from each colony; who finding on their approach, that their information was true, begun a race together with an intention to take possession of the city, each of them for his countrymen. One of these messengers, finding that he was not an equal match for the other, launch'd his spear at the gates of the city, and was so fortunate as to fix it there before the arrival of his companion. This produc'd a dispute betwixt the two colonies . . ."

The choice facing each colony is whether to fight over the city or not. The case of the two Grecian colonies is not a coordination game, since there is a considerable conflict of interest present. Neither is it a prisoners, dilemma, since there is no dominant strategy for either player. These types of conflicts over goods can be modeled as a Hawk-Dove game

The Hawk-Dove game consists of two strategies: the aggressive “hawk” strategy and the passive “dove” strategy. A hawk is willing to fight over the disputed good. A dove initially stakes a claim to half of the good. If, however, her opponent shows any signs of aggression, then the dove relinquishes all claims to the good. Therefore, if two doves meet, the good is equally divided between them. If a dove meets a hawk, the hawk acquires all of the good and the dove receives nothing. If two hawks meet they fight over the good. The parties to the conflict are assumed to be equal in the sense that both members have power to inflict equal expected harm on their rival. Furthermore, in the face of an equal foe both parties should expect an equal chance of victory. This gives us the following game.

Player 2

Dove Hawk

Player 1

Dove 1,1 0,2

Hawk 2,0 -2,-2

Hawk-Dove Game.

The players analyze the game in the following manner. Player one knows that if Player two plays hawk, player one does better to play dove and receive a payoff of 0 instead of -2. On the other hand if player two is going to play dove, player one does better to play hawk for a payoff of 2. The same reasoning applies to player two as well.

Agents wishing to form a convention for the stability of possession will face a hawk-dove game in at least two situations: original appropriation and those instances where, even if homogeneous, an agent could gain by taking another's possessions. The hawk-dove game represents the very real element of force present, or implied, in forming a convention for the stability of possession. The best thing to do still depends on what one's opponent(s) will do.

This is why convention and possession are so important for Hume ( see p. 259 of our readings). Possession lets us know who will play hawk and who will play dove. If I know possessors will play hawk, then with respect to the possessions of others I will play dove, and vice versa. We each know and recognize this we leave each other alone to enjoy our possessions. It is through repeated respect for possession then that rules of property begin to arise.

Hobbes is right that it is war, but he’s wrong to say that it is still war even after a period of silence. Locke is right to say that there are rights to property, but he fails to tell us how it is that agents come to respect these rights when there is no government. Hume completes the story for both. When we recognize the game we are playing, we understand that some form of order is better than none. Possession is the signal we use to establish that order.

Possession may not be 9/10s of the law, but it is 9/10ths of the origin of property. See page 275 of the readings. Mix your labor with somebody else’s field and see what happens.

Basically from 259-275 Hume is talking about how selfish individuals in a scarce world solve the problem of fighting. Think of it as an intricate dance where each has a role to play, possessor or non-possessor, and it is this dance between the two he calls convention.