33 citations · 36 across the 7 of their papers we have counts for
7 papers
Extending Games beyond the Finite Horizon
Kiri Sakahara, Takashi Sato
This paper argues that the finite horizon paradox, where game theory contradicts intuition, stems from the limitations of standard number systems in modelling the cognitive percept…
A Foundation of -superadditive Measures -- a note on advancing Kalina measures -
Kiri Sakahara, Takashi Sato
The present paper attempts to modify the way of constructing a measure in the Alternative Set Theory setting originally devised by Martin Kalina. Introducing a system of cuts of ra…
Real Functions and its Differentiation in Alternative Set Theory
Kiri Sakahara, Takashi Sato
In the previous paper (Kiri Sakahara and Takashi Sato. Basic Topological Concepts and a Construction of Real Numbers in Alternative Set Theory. arXiv e-prints, arXiv:2005.04388, Ma…
Basic Topological Concepts and a Construction of Real Numbers in Alternative Set Theory
Kiri Sakahara, Takashi Sato
Alternative set theory (AST) may be suitable for the ones who try to capture objects or phenomenons with some kind of indefiniteness of a border. While AST provides various notions…
An Alternative Set Model of Cognitive Jump
Kiri Sakahara, Takashi Sato
When we enumerate numbers up to some specific value, or, even if we do not specify the number, we know at the same time that there are much greater numbers which should be reachabl…
Existence of equilibria in quantum Bertrand-Edgeworth duopoly game
Yohei Sekiguchi, Kiri Sakahara, Takashi Sato
Both classical and quantum version of two models of price competition in duopoly market, the one is realistic and the other is idealized, are investigated. The pure strategy Nash e…
Uniqueness of Nash equilibria in quantum Cournot duopoly game
Yohei Sekiguchi, Kiri Sakahara, Takashi Sato
A quantum Cournot game of which classical form game has multiple Nash equilibria is examined. Although the classical equilibria fail to be Pareto optimal, the quantum equilibrium e…