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Game Theory and Conservation. Class 11 Presentation 1. Outline. Introduction to game theory Prisoners’ dilemma activity Examples of successful conservation/poverty alleviation work Use of game theory to evaluate conservation work. History of Game theory . A beautiful mind: John Nash.
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Game Theory and Conservation Class 11 Presentation 1
Outline • Introduction to game theory • Prisoners’ dilemma activity • Examples of successful conservation/poverty alleviation work • Use of game theory to evaluate conservation work
History of Game theory A beautiful mind: John Nash • Fairly long history • von Neumann, J., and O. Morgenstern (1944), Theory of Games and Economic Behavior. Princeton: Princeton University Press • Qualitative opinion based analyses to quantification • Provides quantification of decisions and outcomes • Evaluation of simple rules that govern choice and complexity of outcomes
What is “Game” • Game = scientific metaphor for wide range of human (today any interaction) interactions in which the outcome depends on interactive strategies (interactions) of 2 or more people (or items such as atoms, organisms, populations) who have different (properties or adaptations) motives.
Why game theory? • Useful way to model interactions between organisms and people • Also used in many other disciplines and endeavours: economy, computer science, sociology, international trade, negotiations, evolutionary biology, physics, etc.
Game theory • Applies when: • 2 or more players • One player: decision • More than one outcome (e.g. someone wins while another loses) • Outcomes depend on the choices of all players • Players have choice, strategy matters
Where you cannot use game theory • Games of chance (e.g. lotteries: no strategy required) • Games without interaction between players (e.g. solitaire)
Elements of game theory • Must know the number of players • List and description of all possible actions by individual player • Information players have before decision • Description of payoff consequences to each player for every action • Description of players preferences
Elements of game theory • Players can have perfect information on other players decisions (e.g. chess) • Players can have imperfect information (e.g. sealed bids, prisoners’ dilemma) • Rules are known to all players • Players seek to maximize their payoff • Payoffs are known and fixed
Prisoners’ Dilemma • Two prisoners, each in a different cell • Must decide: • Confess • Do not confess • Both confess: 6 months jail each • Both do not confess: 1 month jail each • 1st confess, 2nd not: 2nd gets 9 months • 1st does not, 2nd does: 1st gets 9 months jail
Prisoners’ Dilemma • Assume that you are one of the prisoners • On a piece of paper write down if you would confess or not confess
Note • Note that you thought about the decision the other person would make • Game theory allows us to analyze not only individual decisions within market conditions (for resource use) but also based on the strategies chosen by others
Prisoners’ dilemma • Is very simplistic (unrealistic) but it can provide insights into interactions • Other games that can be modelled • Applicable in: • Tragedy of the commons • Environmental pollution • Population growth, consumerism • Nuclear arms race • Others?
"The Tragedy of the Commons," Garrett Hardin, Science, 162(1968):1243-1248 • To read Hardin’s classic paper click on: http://www.constitution.org/cmt/tragcomm.htm • Commons: property such as land owned collectively
Keynesian Developmentalism (1940-1960) • Macro economics at global level • Sought to reduce gap between developing and developed nations • Aim: increase economic development through modernization, agro-exports, and primary exports of raw resources • Solutions: Donor countries • Focus: industrial, large landowner, export • E.g: agriculture and timber plantations,
Neoliberalism (1950–1970) • Similar to earlier programs • Focus: development, western technology, exports • No recognition of local knowledge • Replacement of indigenous flora and fauna with exotics • Some recognition of communal property
Popular Development (1970–present) • Recognized complexity of development • Started to involve local people • Solutions: local area • Use of local technology • Short term targets
Communal Areas Management Programme for Indigenous Resources Project (CAMPFIRE), Zimbabwe • Zimbabwe: in southern Africa • Used to be a British colony • Wildlife owned by state • Wildlife important for tourism • Direct worth: $250 million US/yr • Most habitat and wildlife outside parks
Project (CAMPFIRE), Zimbabwe • Agriculture most important economic sector • Cattle ranching subsidized • Degraded arid lands • Game killed to control tse-tse fly • Law changed in 1961 Conservation Act allowed ranchers to ranch, kill and sell game
Project (CAMPFIRE), Zimbabwe • Game ranching not profitable (cost of transport) • Safari-hunting profitable • 1975 Parks and Wildlife Act delegated control of safari hunting to large landowners • This program proved successful • CAMPFIRE sought to implement similar benefits on communal lands
Project (CAMPFIRE), Zimbabwe • Dept of National Parks and Wildlife Management recognized that wildlife could be conserved only if communal and private landowners derived benefit • Project aim: transfer benefits to local communities • Caution: Recent decisions by Zim. Govt. not to protect property rights may undermine this programme
Project (CAMPFIRE), Zimbabwe • Community membership defined with local groups • Defined household • Revenue sharing procedures • National office then devolved management and revenue to local groups for safari hunting in community
Project (CAMPFIRE), Zimbabwe • National govt benefited through higher tax revenue • Locals benefited: Z$ 200/household/yr • New school, grinding mill
Project (CAMPFIRE), Zimbabwe • Has not worked where benefits minimal to locals • E.g.:Nyaminyami District in the Zambezi Valley • Revenue sharing not satisfactory to all
Rural Development: WOTR Work of the Watershed Organization Trust (WOTR) in Ahmendnagar Jan 10-14’01
Housing before Living quarters for 7 people Floor and walls: mud
Before Landscape denuded Local cattle
Before: Water & fuel Cow dung for fuel Wells run dry after January
Before • Several attempts on improving the conditions of these people • E.g. introduced high production cattle • New water pumps • Free education for girls to university • Free education for all in primary grades
What is done today Villagers agree to work together Experts provide advice and support
Water conservation Trees planted on ridges (survival up: from 5% to 95%) Grazing stopped Tree spp selected by villagers
Water conservation Dams Bunds Terraces 5 Cents/day
New house Old House
Fuel Biogas generation
Milk production Example: Kalamkarwadi: Before: 705 litres Today: 1969 litres
Agriculture E.g. Kalamkarwadi Summer: 19% Winter: 10% Vegs: 0 ha to 23 ha Sorghum Wheat
Agriculture Castor Drip irrigation Sweet lime
Income One shed to brick house with biogas & store
Education Equal number of boys and girls in school (Grade 1-4)
Social change Self-help groups Micro loans
Water Dry season crops Drinking water all year round
Discussion • Use the elements of game theory to: • Identify the players in the central India case • Describe the dominant strategy that led to the problem • Can you think of other solutions to the problem(s)?