22 citations · 103 across the 26 of their papers we have counts for
13 papers · 1 filter
Composing games into complex institutions
Seth Frey, Jules Hedges, Joshua Tan +1
Game theory is used by all behavioral sciences, but its development has long centered around tools for relatively simple games and toy systems, such as the economic interpretation…
Compositional modelling of network games
Elena Di Lavore, Jules Hedges, Paweł Sobociński
The analysis of games played on graph-like structures is of increasing importance due to the prevalence of social networks, both virtual and physical, in our daily life. As well as…
Bayesian open games
Joe Bolt, Jules Hedges, Philipp Zahn
This paper generalises the treatment of compositional game theory as introduced by Ghani et al. in 2018, where games are modelled as morphisms of a symmetric monoidal category. Fro…
The game semantics of game theory
Jules Hedges
We use a reformulation of compositional game theory to reunite game theory with game semantics, by viewing an open game as the System and its choice of contexts as the Environment.…
Sequential games and nondeterministic selection functions
Joe Bolt, Jules Hedges, Philipp Zahn
This paper analyses Escardó and Oliva's generalisation of selection functions over a strong monad from a game-theoretic perspective. We focus on the case of the nondeterminism (fin…
Backward Induction for Repeated Games
Jules Hedges
We present a method of backward induction for computing approximate subgame perfect Nash equilibria of infinitely repeated games with discounted payoffs. This uses the selection mo…
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…
Morphisms of open games
Jules Hedges
We define a notion of morphisms between open games, exploiting a surprising connection between lenses in computer science and compositional game theory. This extends the more intui…
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…
String diagrams for game theory
Jules Hedges
This paper presents a monoidal category whose morphisms are games (in the sense of game theory, not game semantics) and an associated diagrammatic language. The two basic operation…