Friday, October 12, 2007
Inequality Rises in the U.S.
Sunday, October 07, 2007
on market falure, game theory, and government policy
Why better safe than sorry rather than nothing ventured nothing gained? There are of course many transactions which are small and routine and the potential costs of mistakes are therefore small. Here one can experiment. One needn't rely on trust or extensive experience. Say that I spend $1 to buy new brand of cola rather than Coke. I discover that I don’t like it nearly as much as I do Coke. The next opportunity I have I will simply remember to buy Coke rather than the new brand and my loss, the cost of my mistake, is at most the $1 spent. However, there are many transactions that are infrequent and that are far from routine. Basically whenever it is the case that a transaction is large (large from the perspective of the individual involved) and, at least at first, the transaction is far from routine the costs of making a mistake are quite high. We see people hesitate for this reason. Whether a given choice has been a wise or a foolish choice hinges crucially on what others do. Your assessment of the wisdom or folly of a particular decision then hinges crucially on what you think others will do. Before deciding to reenter the bond and stock market (and to therefore begin to take greater risks again) in the wake of a bear market, a financial investor must be confident that others will soon begin to feel bullish as well . In an economy where, even with education, jobs opportunities are scarce, a poor family sending their children to school (and in the process foregoing the income they would otherwise help bring in depends on) hinges on being confident that jobs will be there. Residents living in the vast slum of Dharavi in Mumbai agreeing to move into smaller living spaces, doing their handicraft work in the centralized location promised, hinges crucially on their being confident that the promised work space will materialize. In all of these cases resistance to change is far from irrational. The costs of mistakes are so great and the decision to heavily invest in bonds, to take years out of one’s earning life for education , or to agree to move if markets remain bearish, job opportunities scarce, or promises are not kept impose costs too great to absorb. Game theory. Game theory focuses on such situations.* In the classic prisoner’s dilemma criminals face potentially tremendous costs. To minimize the damage that might occur to them individually they confess rather than stay quiet. A socially efficient decision (from the standpoint of this society of two criminals at least) would be to keep quiet. However not knowing what the other prisoner is doing to do, the equilibrium solution is to confess. Both do so and both are far worse off than they would have been if they had just kept quiet. The reason they don’t is in part because they do not know what the other will do. However, the choice made is more importantly due to the fact that they make this decision only once, and that the costs of mistakes are very high indeed. Contrary to the typical examples of market efficiency in a prisoner's dilemma rational self-interest leads to socially poor results. If you keep the same fundamental structure of a prisoner’s dilemma (choices/decisions are not small routine ones and where mistakes are relatively expensive and are not quickly or easily corrected) but alter the payoffs in such a way that the actions of decision makers (players of the game) are complementary you move from a prisoner’s dilemma to what are called coordination games.** To say that the payoffs are complementary means that they are very much contingent on what others do. Good or bad, decisions reinforce one another. If we are able and willing to take risks and are fairly confident that others will act in such a way that their choices positively reinforce our actions then we will go ahead. If we are not confident of this, it is better to wait.
In classic examples of market efficiency, no one need think strategically at all and the environment is truly a competitive one in which the gains of some are offset by the losses of others. We do not have to think strategically because the costs of mistakes are so small. In a prisoner’s dilemma we think strategically at first but ultimately decide that regardless of what others might do it is best for us to protect ourselves whatever might be the long-run costs to society and to ourselves. In a coordination game , we think strategically throughout and must trust others to act in a certain way before we are willing to move in a positive direction. Unless confident of what others may do, their actions materially altering the payoffs of our taking on greater risks, we are better safe than sorry. Nothing ventured nothing gained is too dangerous a philosophy for us to follow. Understanding the obstacles to forward movement government can act as a catalyst to decisions taken by private citizens and businesses and can improve on market outcomes. In the process the payoffs change in such a way that sellers’ costs, the prices buyers must pay, the uncertainty of markets materializing and the contingency of individual decisions are reduced. President Clinton’s Aids/HIV initiative can be viewed in this light. With private donations and government grants he provided a guarantee to drug companies that if they were to ramp up production and, in so doing, realize large enough economies of scale to lower costs demand would be sufficient to absorb the added production. The guaranteed demand was made possible though the Clinton foundation support that supplemented recipient countries’ funding. By guaranteeing a market President Clinton broke the deadlock that otherwise would have gone on for far longer. *The late British economist G.L.S. Shackle wrote of "crucial experiments" which by their very nature are nonroutine and potentially very costly if they fail. Although I am not aware of anyone doing so, one might draw a direct link between Shackle's crucial experiments and nonrepeated games. Also, in mainstream economic theory, there is Christina Romer's irreversibility hypothesis -that decision makers confronted with uncertain situations rationally will delay committing to making any decision and spending when such commitments are costly to reverse. (see " Irreversibility, Uncertainty, and Investment" Pindyck,Robert S., Journal of Economic Literature, 1991, 29, 3, 1110-1148 and "Uncertainty as a Propagating Force in The Great Depression" Ferderer,J.Peter; Zalewski,David A., The Journal of Economic History, 1994, 54, 4, 825-849) For more on coordination games see "Coordination" by C. Monica Capra and Charles A. Holt Southern Economic Journal, Vol. 65, No. 3 (Jan., 1999), pp. 630-636 or Debraj Ray, Development Economics, Princeton University Press.