@Talmapai:
Gossen's first law: the law of diminishing marginal utility, meaning that the first unit of consumption of a good or service yields more utility than the second and subsequent units, with a continuing reduction for greater amounts.
As the rate of commodity acquisition increases, marginal utility decreases. If commodity consumption continues to rise, marginal utility at some point may fall to zero, reaching maximum total utility. Further increase in consumption of units of commodities causes marginal utility to become negative; this signifies dissatisfaction.
For example:
1. beyond some point, further doses of antibiotics would kill no pathogens at all, and might even become harmful to the body.
2. to satiate thirst a person drinks water but beyond a point consumption of more water might make the person vomit, hence leading to diminishing marginal utility.
Would playing chess apply to Gossen's first rule? Perhaps at lower levels a unit of chess practice (say 1 hour) will return larger improvements in Elo and you will get better than a large percentage of the population, but the same hour spent practicing chess at a grandmaster level may barely affect Elo or make better than any other grandmaster. Does this count?
Once I understand Gossen's first law I work on his second. My apologies for the slow pace my mind works, my field is cell biology not mathematics, so your patience is appreciated.-ProfessorJames
Some famous soldier once said, "If you give me American soldiers, and German officers, I can take over the world". It was Patton, or Eisenhower, or somebody.