—Most drivers though have a false feeling of control regarding the dangers of driving, so maybe it is a not as far from a Russian roulette in terms of the dangers and skills— Except you can learn from your past experience in driving if you survive and cannot do it with Russian roulette. That would be one of my criteria for the distinction between the “game of skill” and “the game of luck” but, of course, it has nothing to do with utility.

]]>z_{j} = ∑ c_{k(i)} y_{i, j} where the summation is over i=1, …, m; and y_{i, j}’s are Tableau entries.

Can anybody prove this? I cannot find a numerical counter-example.

]]>In any case, my main claim in the post is that for high stake poker (like high stake chess) the choice of opponent will make the activity primarily a game of luck.

]]>Well, driving a car can also “cause people to.lose everything” and when navigating a busy highway under bad weather conditions at high speed, you certainly risk more than 100,000 bucks. Nevertheless, I still consider it a “game of skill” and, I hope, most drivers will agree. So, I’m with Aumann on this one. You cannot substitute ethical considerations for rigorous definitions and derivations in mathematics and, more often than not, in law as well.

]]>“Climate model simulations are also sensitive to initial conditions (even in an average sense). Coupling a nonlinear, chaotic atmospheric model to a nonlinear, chaotic ocean model gives rise to something much more complex than the deterministic chaos of the weather model, particularly under conditions of transient forcing (such as the case for increasing concentrations of CO2). Coupled atmosphere/ocean modes of internal variability arise on timescales of weeks, years, decades, centuries and millenia. These coupled modes give rise to bifurcation, instability and chaos. How to characterize such phenomena arising from transient forcing of the coupled atmosphere/ocean system defies classification by current theories of nonlinear dynamical systems, particularly in situations involving transient changes of parameter values. Stainforth et al. (2007) refer to this situation as ‘pandemonium.'”

It’s embarrassing me.

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