This paper describes the group decision forecasting (or prediction) problem and explores a particular case of it. The case is that of what policy the Iranian government would implement for pursuing the war with Iran during the mid-1980s. This case is described in a well-known, if controversial...

Conventionally, game theory predicts that the joint mixed strategy of players in a noncooperative game will satisfy some equilibrium concept. Relative probabilities of the joint strategies satisfying the concept are unspecified, and all strategies not satisfying it are assigned probability zero....

In this paper we propose a new explanation for Favourite-Longshot Bias (FLB). FLB refers to a well known phenomenon, pervasive in many sport betting markets. As measured by historically realised gains, bets on favourites appear to be more favourable than longshot bets. We show that FLB can be...

In this article we discuss bookmaker margins embedded in odds for "1X2" bets in the European football betting markets operated by bookmakers. Bookmaker margins are adjustments applied to fair odds, for the purpose of ensuring profits and compensation for risks undertaken, and to cover overall...

I survey and discuss the recent literature on testing experts or probabilistic forecasts, which I would describe as a literature on “strategic hypothesis testing” The starting point of this literature is some surprising results of the following type: suppose that a criterion forjudging...

In this paper the extended model of Minority game (MG), incorporating variable number of agents and therefore called Grand Canonical, is used for prediction. We proved that the best MG-based predictor is constituted by a tremendously degenerated system, when only one agent is involved. The...

I introduce a new framework to study environments with both structural and strategic uncertainty, different from Harsanyi's (1967-8) `Bayesian games', that allows a researcher to test the robustness of Nash predictions while maintaining certain desirable restrictions on players' beliefs. The...

We assess how the PollyVote and its components performed in this election compared to the previous six (1992 to 2012). While always predicting that Hillary Clinton would win the popular vote, across the 100 days leading to the election on average the PollyVote overshot the mark by 1.9 percentage...