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Nobel Prizes and Irrigation Ditches: Some Thoughts about Thomas Schelling, <br />Social Conflict, and Water Organizations <br />by David M. Freeman <br />Professor Emeritas, Department of Sociology, Colorado State University <br />On October 10, the Royal Swedish Academy of <br />Sciences announced its decision to award the No- <br />bel Prize in Economic Sciences jointly to Thomas C. <br />Schelling and Robert J. Aumann. Dr. Schelling, after <br />having taught 20 years at Harvard University's John F. <br />Kennedy School of Government, now is on the faculty <br />of the School of Public Policy at the University of <br />Maryland, College Park. Professor Aumann serves at <br />the Center for Rationality, Hebrew University, Jerusa- <br />lem, Israel. <br />Tom Schelling is a game theorist who worked within <br />the context of the deep international polarization of <br />the cold war years. His Strategy of Conflict (1960) <br />and Arms and Influence (1966) became classics that <br />were received as much more than economic studies. <br />They were analyses of underlying processes that had <br />application in the several social sciences and would <br />inform scholars in sociology, political science, and <br />anthropology for decades to come. Many economists <br />have treated persons as individual decision - makers <br />seeking preference satisfaction without reference to <br />their position in social organizational networks. People <br />have been viewed by them as being free to trade away <br />the things they do not want to get the things they do <br />without consideration of family ties, organizational <br />rules, or other network constraints. Dr. Schelling, an <br />economist by training, began with the sociologists' <br />premise –i.e., people's choices are fundamentally <br />conditioned by their position in networks of social <br />organizational interaction. Schelling saw that a single <br />individual can seldom determine what will happen in <br />a given choice situation. Rather, individual people <br />engage in interaction in ways that modify each other's <br />prospects –i.e., what one does, or is expected to do, <br />conditions the actions of another. The essence of game <br />theory is the systematic study of strategic interaction. <br />Alternatively stated, game theory is about how com- <br />peting players can attempt to get what they want in a <br />conflict situation via some degree and kind of coopera- <br />tion constrained by the shape of the network in which <br />they find themselves. It is posited that lessons can <br />be applied in all kinds of social interactional settings <br />whether in arms races or among rival water users. <br />In real -world situations finding ways to rationally <br />obtain objectives can be difficult in any single conflict <br />game framework; it is fundamental that cooperation <br />will be easier to obtain and sustain when the play- <br />ers must face each other in future multiple encoun- <br />ters–i.e., when they know that they cannot escape each <br />other in the future. Robert Aumann, mathematician, <br />earned his share of the prize because he: a) employed <br />mathematical tools to concisely draw out specific <br />hypotheses; and b) provided ways to study repeated <br />strategic interactions among rational players over <br />many game encounters. <br />Why are sociologists, political scientists, and an- <br />thropologists indebted to these prize winners? What <br />possible application could all this have to the real <br />world of water organization, conflict, and cooperation? <br />Basically, what game theorists of several varieties <br />have repeatedly demonstrated is that what is perfectly <br />rational for each individual player seeking to maxi- <br />mize personal goal achievement will, under specified <br />conditions, be perfectly disastrous for the community <br />of players. Game theory has logically established <br />that —under specified conditions frequently found in <br />the real world- - individual rationality will not lead to <br />collective rationality. <br />Let us look at a simple example. Two individually <br />rational farmers ponder the possibility of building an <br />improved watercourse for channeling irrigation water <br />to their adjacent fields. The total cost of the improve- <br />ment is, shall we say, $600. However, the benefits <br />to farmer A equal only $400 while those to farmer B <br />amount to $500. From the standpoint of their collec- <br />tive joint benefit, the improvement should be made – <br />they collectively would enjoy $900 of benefits, well in <br />excess of the $600 cost. However, if each farmer only <br />looks at his or her privately captured benefits neither <br />will build the improvement. Each farmer individually <br />does better not contributing to the common good while <br />hoping that the other –in an economically irrational <br />but altruistic move –will build the improvement and <br />thereby allow the non - contributing member in this <br />game to enjoy benefits of increased water supply and <br />