Set-valued capacities: multi-agenda decision making

Ehud Lehrer () and Roee Teper ()
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Ehud Lehrer: Tel Aviv University
Roee Teper: University of Pittsburgh

Economic Theory, 2020, vol. 69, issue 1, No 8, 233-248

Abstract: Abstract We study the problem in which a set of agents are required to produce across several different projects (or more generally, agendas), and we consider environments in which resources are constrained and investing (say, time or effort) in one agenda reduces the ability to invest in other agendas. To this end, we introduce a class of capacities we refer to as set-valued: the value of each coalition is a subset of a vector space. For a particular coalition, each vector in its value is associated with a different distribution of the resources invested across the different agendas. In this context, the Choquet and the concave integrals are defined, characterized and shown to be identical if and only if the underlying set-valued capacity is supermodular. We apply the tools developed and introduce a new decision theory.

Keywords: Set-valued capacities; Concave integral; Choquet integral; Supermodular set-valued games (search for similar items in EconPapers)
JEL-codes: C71 D80 D81 D84 (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s00199-018-1164-2

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