In this short note, we show investors one way to calculate ideal investment sizing by using two rules of thumb based on a simple outline of individual risk aversion. We illustrate these two heuristics, which are not widely appreciated, with thought experiments involving coin flips and ketchup &...

A common feature of many speculative attack models on currencies is the existence of multiple equilibrium solutions. When choosing the equilibrium strategy a trader faces Knightian uncertainty about the rational choice of the other traders. We show that the concept of Choquet expected utility...

We propose an extension of the class of rational expectations bubbles (REBs) to the more general rational beliefs setting of Kurz (1994a,b). In a potentially non-stationary but stationarizable environment, it is possible to hold more than one (small-r) “rational” expectation. When rational...

Snakes and ladders is an ancient Indian game of chance that offers amusement as well as a metaphor for life's many ups and downs. Games offer useful and fun ways of conveying ideas as well as solution techniques and this game has considerable mathematical tractability. This note shows how snakes...

It has long been established in the literature that the set of pure strategy Nash equilibria of any binary game of strategic complements among a set N of players can be seen as a lattice on the set of all subsets of N under the partial order defined by the set inclusion relation (⊆). If the...

Purpose - The current paper is a brief review of the emerging field of quantum-like modelling in game theory. This paper aims to explore several quantum games, which are superior compared to their classical counterparts, which means either they give rise to superior Nash equilibria or they make...

In this paper we propose to use the Grand Canonical Minority Game (GCMG, a highly simplified financial market model) as a model of bitcoin market to show how the lack of an income for “miners”, similar to yield earned by bond holders, could be a structural reason for high volatility of...

This paper examines the usefulness of Kalai (2020)’s measure of the viability of Nash equilibrium. We experimentally study a class of participation games, which differ in the number of players, the success threshold, and the payoff to not participating. We find that Kalai’s measure captures...

This paper examines the usefulness of Kalai (2020)'s measure of the viability of Nash equilibrium. We experimentally study a class of participation games, which differ in the number of players, the success threshold, and the payoff to not participating. We find that Kalai's measure captures well...

This paper attempts to form a model which can help explain the evolving regulatory regime around insider trading. We develop a simple sequential game-theoretical model of insider trading transactions and, utilizing Monte Carlo simulation to determine equilibrium, we show that costly...