16 citations · 24 across the 7 of their papers we have counts for
8 papers
The algebra of predicting agents
Joe Bolt, Jules Hedges, Viktor Winschel
The category of open games, which provides a strongly compositional foundation of economic game theory, is intermediate between symmetric monoidal and compact closed. More precisel…
A Compositional Coalgebraic Semantics of Strategic Games
Achim Blumensath, Viktor Winschel
We provide a compositional coalgebraic semantics for strategic games. In our framework, like in the semantics of functional programming languages, coalgebras represent the observab…
Compositionality and String Diagrams for Game Theory
Jules Hedges, Evguenia Shprits, Viktor Winschel +1
We introduce string diagrams as a formal mathematical, graphical language to represent, compose, program and reason about games. The language is well established in quantum physics…
Compositional game theory
Neil Ghani, Jules Hedges, Viktor Winschel +1
We introduce open games as a compositional foundation of economic game theory. A compositional approach potentially allows methods of game theory and theoretical computer science t…
Higher-Order Decision Theory
Jules Hedges, Paulo Oliva, Evguenia Sprits +2
Classical decision theory models behaviour in terms of utility maximisation where utilities represent rational preference relations over outcomes. However, empirical evidence and t…
Higher-Order Game Theory
Jules Hedges, Paulo Oliva, Evguenia Sprits +2
In applied game theory the motivation of players is a key element. It is encoded in the payoffs of the game form and often based on utility functions. But there are cases were form…
A Higher-order Framework for Decision Problems and Games
Jules Hedges, Paulo Oliva, Evguenia Winschel +2
We introduce a new unified framework for modelling both decision problems and finite games based on quantifiers and selection functions. We show that the canonical utility maximisa…
Coalgebraic Analysis of Subgame-perfect Equilibria in Infinite Games without Discounting
Samson Abramsky, Viktor Winschel
We present a novel coalgebraic formulation of infinite extensive games. We define both the game trees and the strategy profiles by possibly infinite systems of corecursive equation…