Role of price and enforcement in water allocation: Insights from Game Theory

As many countries are moving toward water sector reforms, practical issues of how water management institutions can better effect allocation, regulation, and enforcement of water rights have emerged. The problem of nonavailability of water to tailenders on an irrigation system in developing countries, due to unlicensed upstream diversions is well documented. The reliability of access or equivalently the uncertainty associated with water availability at their diversion point becomes a parameter that is likely to influence the application by users for water licenses, as well as their willingness to pay for licensed use. The ability of a water agency to reduce this uncertainty through effective water rights enforcement is related to the fiscal ability of the agency to monitor and enforce licensed use. In this paper, this interplay across the users and the agency is explored, considering the hydraulic structure or sequence of water use and parameters that define the users and the agency's economics. The potential for free rider behavior by the users, as well as their proposals for licensed use are derived conditional on this setting. The analyses presented are developed in the framework of the theory of “Law and Economics,” with user interactions modeled as a game theoretic enterprise. The state of Ceara, Brazil, is used loosely as an example setting, with parameter values for the experiments indexed to be approximately those relevant for current decisions. The potential for using the ideas in participatory decision making is discussed. This paper is an initial attempt to develop a conceptual framework for analyzing such situations but with a focus on the reservoir‐canal system water rights enforcement.

[1]  J. Nash Equilibrium Points in N-Person Games. , 1950, Proceedings of the National Academy of Sciences of the United States of America.

[2]  J. Nash THE BARGAINING PROBLEM , 1950, Classics in Game Theory.

[3]  Giorgio del Vecchio,et al.  Law and Economics , 1957, John R. Commons: Selected Essays.

[4]  P. Rogers A Game Theory Approach to the Problems of International River Basins , 1969 .

[5]  M. Bacharach Two-person Cooperative Games , 1976 .

[6]  A. Mitchell Polinsky Private versus Public Enforcement of Fines , 1980, The Journal of Legal Studies.

[7]  H. Young,et al.  Cost allocation in water resources development , 1982 .

[8]  Roger B. Myerson,et al.  Game theory - Analysis of Conflict , 1991 .

[9]  Andrew R Dick,et al.  Learning by Doing and Dumping in the Semiconductor Industry , 1991, The Journal of Law and Economics.

[10]  R. Gibbons Game theory for applied economists , 1992 .

[11]  R. Hinde,et al.  Governing the Commons: The Evolution of Institutions for Governing the Commons: The Evolution of Institutions for Collective Action Collective Action , 2010 .

[12]  B. Field GOVERNING THE COMMONS - THE EVOLUTION OF INSTITUTIONS FOR COLLECTIVE ACTION - OSTROM,E , 1992 .

[13]  E. Ostrom,et al.  Irrigation institutions and the games irrigators play : Rule enforcement on government- and farmer-managed systems , 1993 .

[14]  Steven Shavell,et al.  The Optimal Structure of Law Enforcement , 1993, The Journal of Law and Economics.

[15]  G. Brady Governing the Commons: The Evolution of Institutions for Collective Action , 1993 .

[16]  Environmental Ethics: An Introduction to Environmental Philosophy , 1994 .

[17]  E. Ostrom,et al.  Rules, Games, and Common-Pool Resources , 1994 .

[18]  Ariel Rubinstein,et al.  A Course in Game Theory , 1995 .

[19]  J. Kagel,et al.  Handbook of Experimental Economics , 1997 .

[20]  J. D. Jardins,et al.  Environmental Ethics: An Introduction to Environmental Philosophy , 1996 .

[21]  G. Burgess,et al.  The Economics of Regulation and Antitrust , 1997 .

[22]  S. Shavell,et al.  Corruption and Optimal Law Enforcement , 1999 .

[23]  E. Fehr,et al.  Altruistic punishment in humans , 2002, Nature.

[24]  Upmanu Lall,et al.  Seasonal to interannual ensemble streamflow forecasts for Ceara, Brazil: Applications of a multivariate, semiparametric algorithm , 2003 .

[25]  P. Purcell Design of Water Resources Systems , 2003 .

[26]  A. Dinar,et al.  Cooperative Game Theory and its Application to Natural, Environmental, and Water Resource Issues: 3. Application to Water Resources , 2006 .

[27]  Augusto Getirana,et al.  Decision Process in a Water Use Conflict in Brazil , 2008 .

[28]  Alocação de custos em projetos de usos múltiplos de recursos hídricos: uma aplicação do valor Shapley , 2009 .