Research

Education

We are providing educational and competence development services as part of our consulting services. The competence development is guided by the insights from our fundamental research. However, we provide any kind of level of education from the very beginnings of practical data analysis up to the state of the art research level.

Revolutionary foundational research

OiCOS is the result of Viktor Winschel's research: a new foundation for the social sciences. The indispensable mathematical structure for economics, bio, social and cognitive sciences is reflexivity - first built in the mathematical approach of computer science. Reflexive means capable of self-description. Thus, self-similar structures at different levels and meta levels can be used to organise and manage complex systems. The reflexivity of computer science, first presented as Church's lambda calculus and the Turing machine, is needed for the analysis and synthesis of living systems. To be sure, computer science is not about computers but about the design of languages to describe algorithms which are procedures of information processing. This is reflexive since it is itself an information processing procedure, just as societies are defined in modern sociology as communication that produces communication. The same reflexive foundations now increasingly serve mathematics to reorganise itself, computer science and physics by the meta mathematics of category theory which is based on the organisational and process oriented principle of compositionality that allows for reflexivity.

The current prevailing mathematical foundations of economics are unsuited to the analysis and, above all, synthesis or compositionality and thus organisation of living systems. The shortcomings or reductionistic science or world view can not other then to cause environmental catastrophes, diseases, species extinction, plastic continents let alone authoritarian regimes over people.

 

In the corporate context, these are declarations of bankruptcy.


We use these insights to design and implement management systems that are suitable for living and complex systems such as energy or monetary and FinTech systems for companies with strategic interactions.

Research Partners

Prof. Dr. Florian Heiss

Chair for Statistics and Econometrics

Prof. Dr. Philipp Zahn

  • Mechanism design (find good rules for games) and game theory

  • Behavioural economics (beyond mechanistic rationality)

  • Experimental design (in order to understand human behaviour)

Philipp's personal Website

Dr. Evguenia Sprits

Prof. Dr. Neil Ghani

  • Mathematics

  • Programming language design

  • Open games

Neil's personal Website

MSP Group (Mathematically Structured Programming)

Dr. Jules Hedges

  • Open Games

  • Mathematics

  • Computer science

Jules' personal web blog

Dr. Renée Menéndez

Renee's personal web blog

Publications

Uncertainty Quantification and Global Sensitivity Analysis for Economic Models

(2019), Quantitative Economics, (preprint), Bruno Sudret, Stefano Marelli, Daniel Harenberg, Viktor Winschel

Compositional Game Theory 

(2018), Logic in Computer Science, (preprint) Neil Ghani, Jules Hedges, Viktor Winschel, Philipp Zahn

Higher-Order Decision Theory

(2017) Algorithmic Decision Theory, (preprint), Evguenia Winschel, Philipp Zahn, Jules Hedges, Paulo Oliva

Selection Equilibria in Higher Order Games

(2016), Practical Aspects of Declarative Languages, (preprint),  Philipp Zahn, Jules Hedges, Paulo Oliva, Viktor Winschel, Evguenia Sprit

Coalgebraic Analysis of Subgame-perfect Equilibria in Infinite Games without Discounting

(2015), Mathematical Structures in Computer Science, Samson Abramsky, Viktor Winschel

Solving, Estimating and Selecting Nonlinear Dynamic Models without the Curse of Dimensionality

(2010) Econometrica, Markus Krätzig, Viktor Winschel

Likelihood Approximation by Numerical Integration on Sparse Grids

(2008) Journal of Econometrics, Florian Heiss, Viktor Winschel

Public Deficits and Borrowing Costs: The Missing Half of the Market Discipline

(2001), Journal of Public Finance and Public Choice, Friedrich Heinemann, Viktor Winschel

A Coalgebraic Semantics of Compositional Games in Economics

(2013), arXiV, Achim Blumensath, Viktor Winschel

The Empirical Analysis of Exchange Rate Regimes and Nonlinear Structural Econometrics

(2005), PhD Thesis university of Mannheim, Viktor Winschel

 

Network

Dusko Pavlovic, Brendan Fong, Bob Coecke, Samson Abramsky, David Spivak, Alexander Kurz, Jocelyn Ireson-Paine and many more at Oxford, MIT, Strathclyde Glasgow, Amsterdam, Nijmegen, Hawaii and other universities and research institutions.

Conferences

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Academic Network