Cooperative Decision Making in Common Pool Situations

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Springer Science & Business Media, Mar 25, 2002 - Business & Economics - 210 pages
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The monograph gives a theoretical explanation of observed cooperative behavior in common pool situations. The incentives for cooperative decision making are investigated by means of a cooperative game theoretical framework. In a first step core existence results are worked out. Whereas general core existence results provide us with an answer for mutual cooperation, nothing can be said how strong these incentives and how stable these cooperative agreements are. To clarify these questions the convexity property for common pool TU-games in scrutinized in a second step. It is proved that the convexity property holds for a large subclass of symmetrical as well as asymmetrical cooperative common pool games. Core existence and the convexity results provide us with a theoretical explanation to bridge the gap between the observation in field studies for cooperation and the noncooperative prediction that the common pool resource will be overused and perhaps endangered.
 

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Contents

Common Pool Resources
1
12 Common Pool Situations
3
13 Communication as a Strategy Coordination Device
6
14 Brief Review of the Literature
9
15 Structure of the Monograph
11
A Dynamic Resource Management Problem
15
The Centralized Approach
16
The Corresponding Differential Game
26
52 Indirect Characteristic Function
99
53 A First Convexity Result
102
54 Two Numerical Examples
107
55 Concluding Remarks
114
Convexity of Asymmetrical TUCPR Games
119
62 The extended CPRModel
121
63 The Case for more generalized concave joint Production Functions
124
64 The Case for more generalized Cost Functions
130

24 Concluding Remarks
36
Cooperative Game Theory
39
32 Cooperative Games with Transferable Utility
40
321 The Core
41
322 The Stable sets
45
323 The Bargaining set
46
The Common Pool Game
49
42 Common Pool Model and Definitions
51
43 Common Pool Games and some Equilibria Results
60
44 Cooperative Common Pool Games and Cores
69
45 Concluding Remarks
94
Convexity of Symmetrical TUCPR Games
97
65 kConvex nPerson Games
152
66 kConvexity in Cooperative Common Pool Games
156
67 Cooperative Common Pool Games and Bankruptcy Games
165
68 Concluding Remarks
174
Concluding Remarks and Outlook on Future Research
175
An Overview of Bifurcation Theory
181
A2 Some Definitions and Results
182
A3 Local and Global Bifurcations
191
List of Figures
195
List of Tables
197
Bibliography
199
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