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Game Theory Quotes

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Game Theory Quotes

“In game theory, as in applications of other technologies that use RPT [Revealed Preference Theory], the purpose of the machinery is to tell us what happens when patterns of behavior instantiate some particular strategic vector, payoff matrix, and distribution of information—for example, a PD [Prisoner's Dilemma]—that we’re empirically motivated to regard as a correct model of a target situation. The motivational history that produced this vector in a given case is irrelevant to which game is instantiated, or to the location of its equilibrium or equilibria. As Binmore (1994, pp. 95–256) emphasizes at length, if, in the case of any putative PD, there is any available story that would rationalize cooperation by either player, then it follows as a matter of logic that the modeler has assigned at least one of them the wrong utility function (or has mistakenly assumed perfect information, or has failed to detect a commitment action) and so made a mistake in taking their game as an instance of the (one-shot) PD. Perhaps she has not observed enough of their behavior to have inferred an accurate model of the agents they instantiate. The game theorist’s solution algorithms, in themselves, are not empirical hypotheses about anything. Applications of them will be only as good, for purposes of either normative strategic advice or empirical explanation, as the empirical model of the players constructed from the intentional stance is accurate. It is a much-cited fact from the experimental economics literature that when people are brought into laboratories and set into situations contrived to induce PDs, substantial numbers cooperate. What follows from this, by proper use of RPT, not in discredit of it, is that the experimental setup has failed to induce a PD after all. The players’ behavior indicates that their preferences have been misrepresented in the specification of their game as a PD. A game is a mathematical representation of a situation, and the operation of solving a game is an exercise in deductive reasoning. Like any deductive argument, it adds no new empirical information not already contained in the premises. However, it can be of explanatory value in revealing structural relations among facts that we otherwise might not have noticed.”

“Here is what a person is: a set of basically compatible long-range interests that have co-opted a sufficient army of short-range interests into their coalition to maintain stable equilibrium. A person is that person just so long as her revealed preferences at the whole-person level don’t significantly cycle. This is why we can model people as (nonstraightforward) economic agents—just as we sometimes can, and should, model countries. Of course, a biological H. sapiens individual goes through changing external circumstances during its biography, so no one coalition of interests will stay in power forever. Becker and other mature anthropocentric neoclassicists have missed this point, whereas a Samuelsonian neoclassicist can accept it without difficulty. At the same time, the social pressures that discipline self-narratives tend to make people more and more like straightforward economic agents for increasing stretches of their biographies. These pressures are not external to their personal utility functions, as Sen supposes. They are what make (whole-) personal utility functions possible in the first place. Society does not struggle to civilize inner Robinson Crusoes, for people don’t biologically have such things. Instead, human society gives rise to something new under the evolutionary sun: creatures that act increasingly like the economic agents familiar among our asocial relatives, who nevertheless turn the trick of achieving the powerful network efficiencies that the asocial cannot.”

“A fair social contract is then taken to be an equilibrium in the game of life that calls for the use of strategies which, if used in the game of morals, would never leave a player with an incentive to exercise his right of appeal to the device of the original position. So a fair social contract is an equilibrium in the game of morals, but it must never be forgotten that it is also an equilibrium in the game of life; otherwise evolution will sweep it away. Indeed, the game of morals is nothing more than a coordination device for selecting one of the equilibria in the game of life.”

“The Escalation Game is not an exotic brainteaser. Real life presents us with quandaries in which we are, as the saying goes, in for a penny, in for a pound. They include long-running labor strikes, dueling lawsuits, and literal wars of attrition, in which each nation feeds men and matériel into the maw of the war machine hoping the other side will exhaust itself first. The common rationale is “We fight so that our boys will not have died in vain,” a textbook example of the sunk-cost fallacy but also a tactic in the pathetic quest for a Pyrrhic victory. Many of the bloodiest wars in history were wars of attrition, showing once again how the infuriating logic of game theory may explain some of the tragedies of the human condition. Though persisting with a certain probability may be the least bad option once one is trapped in an Escalation Game, the truly rational strategy is not to play in the first place.”

“Mechanism design takes up Hume's challenge by designing games in which the knaves to whom power is delegated are treated as players. The checks in the constitution are the rules of the game. These are used to prevent a player going off the rails in situations that the designer can effectively monitor and evaluate. However, it is the controls that are more important, since these apply to decisions that the designer can't monitor, or doesn't know how to evaluate. To get the players to act in accordance with the designer's aims rather than their own in such situations, it is necessary that the payoffs of the game be carefully chosen to provide the right incentives.”

“The actual rewards that come from arguing with other people have nothing to do with winning and losing. A good argument helps us refine our own ideas and discover where our reasoning is the weakest. Other people's opposition can help us turn our own half-formed ideas into clear assertions backed by solid reasoning. And setting our ideas and opinions against someone else's helps us know each other better, which makes us better friends. We get these benefits from arguments when we collaborate with a partner. We do not get them when we try to destroy an enemy. That is how non-zero-sum games work.”