Monday, December 20, 2010

On the story of porridge from the sub-mechanism design

 From constraints, assumptions and objectives of the condition, and then gradually change this basis and to relax these conditions, analysis of different rules under the operation of the stories effectiveness analysis concluded that there is no absolute best rules, rules, only the pros and cons time, one place the.
Key words: sub-porridge story, mechanism design,
1, Introduction of a sub-story
porridge so the story: There are seven small groups of individuals, they want to come through institutional arrangements solve the food problem mm per day in the absence of measurement tools to scale the container and no case of eating gruel.
Rule number one: designate a person responsible for the sub-porridge matters. soon we discovered that this man up to his porridge points . So for a person, the result is always chaired sub-bowl of porridge porridge most people the best.
Rule number two: to specify a sub-porridge and a monitoring person who, at first more fair, and later sub-porridge and supervision of persons who from the power restriction to their pay would power promising porridge, and gave everyone a chance. Although it looks equal, but only one day per week, well-fed and has a surplus, the other six days are hard to get hungry.
Rules IV: a democratic election of a man to trust porridge. The moral character of people who have also a fair sub-porridge, but soon after he had consciously for himself and those who pay would kiss his ass.
Rule Five: Everyone rotate duty hours porridge, porridge, but the man points to the last collar porridge. Surprisingly, in this system, seven bowl of porridge every time as much as ever with the amount of scientific instruments the same.
in this story, people usually think is the best five rules of mechanism design, in fact, this is not the best. As analyzed by Professor Luo Biliang, rules, or the existence of five possible collusion: because the mechanism and scale of the design also For, if two people sharing porridge, then the rules of five is still quite reasonable, but has grown to be unreasonable, there may be a private conspiracy, sub-porridge people with one of the two conspiracy, as some officials of the moment , they are not corrupt, but relatives and friends have benefited. This story suggests a good mechanism design problems, the following brief analysis of this.
2, analysis of the stories
2.1 based allocation mechanism designed to limit factors.
porridge in the sub-stories, mechanism design factors with the following limitations: the size, procedures, materials properties, environmental conditions in Table 1
limitations of mechanism design and content constraints
content


mechanism can affect the size of properties by size, 2 individuals and 7 individuals, 7 individuals and 70,000 individuals, 70,000 individuals and 700 million people, these different scale, its sub-issues to consider when porridge is very different.
program features
points porridge when a person turns to lead congee, or porridge with the presence of lead, leading the order to be porridge. that is divided into many porridge, and if they turn one Link porridge, then how to set the order, the arrangement of porridge is ranked by number to, or by number of people to lead; if it is brought up with everyone, then the placing of a word and laid them out porridge, or placed into a round, or square.
item features the items to be distributed
with separability, and the items are easy to measure environmental characteristics

that belongs to the era of ancient Greek democratic period, or Saddam's dictatorship, and so on. the same rule at different times, the running effect is not the same.
2.2, the premise of the story requires assumptions.
porridge in the sub-story, needs assumptions have to be the main premise:
assume that one person is no difference in the For example, Joe Smith is the arithmetic expertise, expertise is a scoop John Doe porridge, and so on; not exist differences in personal preferences, for example, seating like to drink thin, thick, like John Doe. On this premise assumptions, the seven there is no distinction, they porridge requirements are homogeneous, they each other emotionally, physically, also would be homogeneous.
assumption Second, information is symmetric. that is assigned to the porridge Everyone knows how many other people assigned to a share of porridge is homogeneous. and this is not symmetric information is changed over time, that information today is symmetric, then the analysis time after it dimension will also be symmetrical within.
assumption three, porridge is homogeneous. that is divided by the porridge are the same, does not exist in the thick and thin divided into hot and cold.
assume four points porridge work is no additional pay. that does not need to pay points porridge personal time, energy, energy. Therefore, there is no work for the sub-porridge constraints, participants will be divided everyone porridge.
assumed five allocated, porridge how much easier their own assessment and compared. Sheng porridge Although there is no scale vessels, but everyone in their own vessels Sheng porridge porridge's sake component is easy to measure the weight and easy to compare with others. After that sub-porridge, each person points can be very easy to know how much and how many other points, during the measurement and comparison of transaction costs without having to pay another.
assumed six points in the process porridge porridge will not have losses. that there will be no loss of porridge , and will not change the quality of porridge,UGG boots cheap, which will not become rancid, it will not become hot and cold.
assume that seven, only involves the distribution of porridge, without regard to the production of porridge. or is not in the story Some people pay for the cost of the acquisition of porridge. Therefore, the distribution of the porridge, only considering the allocation of equity and efficiency, without considering who porridge credit for the production process large, and none of today's distribution of tomorrow's production, etc. problem.

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