Skill in games

Article Abstract:

The concept of differential player skill in games are examined using Sum Poker, a simplified version of the stud poker card game. Some of the techniques used in Sum Poker, such as knowledge of the random device, observation, memory, computation and bluffing, are common to 'real' games. In the game simulation, 12 different strategies are used. These include Simple, AvgHand, Loose, Middle and Tight, BluffsLot, CalcMuch, PlayerCalc, MixedCalc, PlayerCalcB, ExpVal and ExpvalB. Results show that real games are characterized by skill and skill differences. In addition, real game theories designed to forecast results or to assist players in the game must explicitly represent skills and skill differences.

Research, Games, Poker

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Shared preferences and state-dependent utilities

Article Abstract:

The theory of expected utility is examined in terms of how it is affected by the state-dependence of preference for prizes, and the specific instances when shared preferences among utility maximizers agree with the pattern of expected utility. It was shown that a Pareto, Bayesian compromise of preferences between two Bayesian agents is not possible, even in cases when utilities are allowed to be state-dependent and identifiable.

Industrial management, Utility theory, Utility functions, Consensus (Social sciences)

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Opposition of interest in subjective Bayesian theory

Article Abstract:

In game theory, players having directly opposing interests must either have unique utility and probability functions, or many different probability and utility functions, or else neither can be characterized as Bayesian. This implies that within a negotiating setting, differing perceptions of probabilities for the same outcome provide a difference that can be exploited towards a solution.

Bayesian statistical decision theory, Bayesian analysis

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