Satisficing Versus Optimality: Criteria for Sustainability

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• 作者：Michel De Lara (1)
  Vincent Martinet (2)
  Luc Doyen (3)
  
  1. CERMICS (ENPC) ; Universit茅 Paris-Est ; 6鈥? Avenue Blaise Pascal ; Cit茅 Descartes ; 77455 ; Marne-la-Vall茅e ; France
  2. INRA ; UMR210 Economie Publique ; 78850 ; Thiverval-Grignon ; France
  3. CNRS ; GREThA ; University of Bordeaux 4 ; Avenue L茅on Duguit ; 33608 ; Pessac Cedex ; France
  
• 关键词：Sustainability ; Uncertainty ; Optimality ; Viability
• 刊名：Bulletin of Mathematical Biology
• 出版年：2015
• 出版时间：February 2015
• 年：2015
• 卷：77
• 期：2
• 页码：281-297
• 全文大小：745 KB
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• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematical Biology
  
• 出版者：Springer New York
• ISSN：1522-9602

文摘

Economic analysis addresses risk and long-term issues with discounted expected utility, focusing on optimality. Viability theory is rooted on satisfying sustainability constraints over time, focusing on feasibility. We build a bridge between these two approaches by establishing that viability is equivalent to an array of degenerate intertemporal optimization problems. First, we focus our attention on the deterministic case. We highlight the connections between the viability kernel and the minimum time of crisis. Carrying on, we lay out stochastic viability, turning the spotlight onto the notions of viable scenario and maximal viability probability. Our conceptual results bring the viability approach closer to the economic approach, especially in the stochastic case and regarding efficiency. We discuss the possible use of viability as a theoretical framework for biodiversity conservation, ecosystem management and climate change issues.