What is he best known for?
The fields of study he is best known for:
- Algebra
- Real number
- Statistics
Peter C. Fishburn mainly focuses on Mathematical economics, Axiom, Discrete mathematics, Combinatorics and Expected utility hypothesis.
His studies in Mathematical economics integrate themes in fields like Decision theory, Econometrics and Voting.
His Axiom research also works with subjects such as
- Probability measure, which have a strong connection to State,
- Independence, which have a strong connection to Preference relation.
His Discrete mathematics research is multidisciplinary, incorporating elements of Function, Probability distribution, Representation and Product.
His research in the fields of Interval, Semiorder and Transitive relation overlaps with other disciplines such as Set of uniqueness.
His work carried out in the field of Expected utility hypothesis brings together such families of science as Preference and Preference.
His most cited work include:
- Utility theory for decision making (2269 citations)
- Mean-Risk Analysis with Risk Associated with Below-Target Returns (998 citations)
- The theory of social choice (680 citations)
What are the main themes of his work throughout his whole career to date?
Combinatorics, Discrete mathematics, Mathematical economics, Axiom and Preference are his primary areas of study.
His study on Combinatorics is mostly dedicated to connecting different topics, such as Probability measure.
His work deals with themes such as Probability distribution, Finite set, Algebra over a field, Function and Interval, which intersect with Discrete mathematics.
His work in Mathematical economics addresses subjects such as Decision theory, which are connected to disciplines such as Optimal decision.
He has researched Axiom in several fields, including Independence, Preference relation and Transitive relation.
His Von Neumann–Morgenstern utility theorem study often links to related topics such as Cardinal utility.
He most often published in these fields:
- Combinatorics (36.61%)
- Discrete mathematics (31.50%)
- Mathematical economics (30.31%)
What were the highlights of his more recent work (between 1996-2016)?
- Combinatorics (36.61%)
- Discrete mathematics (31.50%)
- Partially ordered set (6.89%)
In recent papers he was focusing on the following fields of study:
His primary scientific interests are in Combinatorics, Discrete mathematics, Partially ordered set, Mathematical economics and Preference.
The Combinatorics study combines topics in areas such as Point and Order.
The concepts of his Discrete mathematics study are interwoven with issues in Function, Axiom, Interval and Algebra over a field.
His Partially ordered set research includes elements of Comparability and Representation.
His Mathematical economics study integrates concerns from other disciplines, such as Pareto principle, Mathematical optimization and Decision theory.
His study in Expected utility hypothesis concentrates on Von Neumann–Morgenstern utility theorem and Subjective expected utility.
Between 1996 and 2016, his most popular works were:
- Mean-Risk Analysis with Risk Associated with Below-Target Returns (998 citations)
- Multiple Criteria Decision Making, Multiattribute Utility Theory: Recent Accomplishments and What Lies Ahead (536 citations)
- The foundations of expected utility (403 citations)
In his most recent research, the most cited papers focused on:
- Algebra
- Real number
- Statistics
His main research concerns Combinatorics, Discrete mathematics, Mathematical economics, Microeconomics and Fair division.
His Combinatorics research is multidisciplinary, incorporating perspectives in Function and Binary number.
His Discrete mathematics study combines topics in areas such as Linear programming, Uniqueness and Interior point method.
His research brings together the fields of Axiom and Mathematical economics.
His biological study spans a wide range of topics, including Psychological pricing, Rational pricing and Pricing schedule.
His study in Expected utility hypothesis is interdisciplinary in nature, drawing from both Preference, Decision theory, Perspective and Artificial intelligence.
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