ﺑﺎﺯﺍﺭﻫﺎﻱ ﭘﻴﺸﮕﻮ١
ﺍﺣﺴﺎﻥ ﮐﻮﺭﺵﻓﺮ
ﭼﮑﻴﺪﻩ .ﺑﺎﺯﺍﺭﻫﺎﻱ ﭘﻴﺸﮕﻮ ﺍﺯ ﺩﻭ ﺩﻫﻪﻱ ﻗﺒﻞ ﺑﻪ ﻋﻨﻮﺍﻥ ﺍﺑﺰﺍﺭﻱ ﺑﺮﺍﻱ ﭘﻴﺶﺑﻴﻨﻲ ﺭﻭﻳﺪﺍﺩﻫﺎﻱ ﭘﻴﺶﺭﻭ ﻣﻮﺭﺩ ﺍﺳﺘﻔﺎﺩﻩ
ﻗﺮﺍﺭ ﻣﻲﮔﻴﺮﻧﺪ .ﺩﺭ ﻣﻮﺍﺭﺩ ﻣﺨﺘﻠﻔﻲ ﻣﺎﻧﻨﺪ ﺍﻧﺘﺨﺎﺑﺎﺕ ،ﻭﺿﻌﻴﺖ ﺑﺎﺯﺍﺭﻫﺎﻱ ﻣﺎﻟﻲ ﻭ ﻧﺘﺎﻳﺞ ﻭﺭﺯﺷﻲ ﺍﻳﻦ ﻣﮑﺎﻧﻴﺰﻡ ﺑﻪ ﮐﺎﺭ
ﮔﺮﻓﺘﻪ ﻣﻲﺷﻮﺩ .ﻫﺪﻑ ﺍﺯ ﺍﻳﻦ ﮔﺰﺍﺭﺵ ﺁﺷﻨﺎ ﺷﺪﻥ ﺑﺎ ﺍﻳﻦ ﺑﺎﺯﺍﺭﻫﺎ ،ﭼﮕﻮﻧﮕﻲ ﮐﺎﺭ ﺁﻧﻬﺎ ﻭ ﻣﮑﺎﻧﻴﺰﻡﻫﺎﻱ ﻣﻄﺮﺡ ﺷﺪﻩ
ﺩﺭ ﭼﮕﻮﻧﮕﻲ ﻃﺮﺍﺣﻲ ﺁﻧﻬﺎﺳﺖ.
ﮐﻠﻤﺎﺕ ﮐﻠﻴﺪﻱ .ﺑﺎﺯﺍﺭﻫﺎﻱ ﭘﻴﺸﮕﻮ
۱ﻣﻘﺪﻣﻪ
ﻳﮑ ﻲ ﺍﺯ ﺭﻭﺵﻫﺎﻳﻲ ﮐﻪ ﻣﻲﺗﻮﺍﻥ ﺑﺮﺍﻱ ﺑﺪﺳﺖ ﺁﻭﺭﺩﻥ ﺍﻃﻼﻋﺎﺕ ﺩﺭ ﺭﺍﺑﻄﻪ ﺑﺎ ﻣﻮﺿﻮﻋﻲ ﺍﺯ ﺁﻥ ﺍﺳﺘﻔﺎﺩﻩ ﻧﻤﻮﺩ ،ﺍﻳﻦ ﺍﺳﺖ ﮐﻪ
ﺍﺯ ﺍﻓﺮﺍﺩ ﺑﺨﻮﺍﻫﻴﻢ ﺩﺭ ﺭﺍﺑﻄﻪ ﺑﺎ ﺁﻥ ﭘﻴﺸﮕﻮﻳﻲ ﮐﻨﻨﺪ .ﻳﮏ ﺑﺎﺯﺍﺭ ﭘﻴﺸﮕﻮ ﻣﮑﺎﻧﻲ ﺍﺳﺖ ﮐﻪ ﺩﺭ ﺁﻥ ﻧﻈﺮﺍﺕ ﺍﻓﺮﺍﺩ ﺩﺭ ﺭﺍﺑﻄﻪ ﺑﺎ
ﺍﺣﺘﻤﺎﻝ ﺣﺎﺩﺙ ﺷﺪﻥ ﻳﮏ ﻣﻮﺿﻮﻉ ﺗﺠﻤﻴﻊ ﻣﻲﮔﺮﺩﺩ .ﻣﺜﻼ ﺑﺮﺍﻱ ﺍﻳ ﻦ ﮐﻪ ﺑﻔﻬﻤ ﻴﻢ ﮐﻪ ﺳﺎﻝ ﺁﻳ ﻨﺪﻩ ﺑﺎ ﮐﻤﺒﻮﺩ ﺁﺏ ﻣﻮﺍﺟﻪ ﻣﻲ-
ﺷﻮﻳﻢ ﻳﺎ ﻧﻪ ﻣﻲﺗﻮﺍﻥ ﺍﺯ ﺍﻓﺮﺍﺩ ﺧﻮﺍﺳﺖ ﮐﻪ ﺩﺭ ﺭﺍﺑﻄﻪ ﺑﺎ ﺁﻥ ﺷﺮﻁﺑﻨﺪﻱ ﮐﻨﻨﺪ .ﻗ ﻴﻤﺖ ﺑﺎﺯﺍﺭ ﺑﺮﺍﻱ ﺍﻳ ﻦ ﺷﺮﻁﺑﻨﺪﻱ ﻧﺸﺎﻥ
ﺩﻫﻨﺪﻩﻱ ﻳﮏ ﺍﺟﻤﺎﻉ ﻋﻤﻮﻣﻲ ﺍﺯ ﻧﻈﺮﺍﺕ ﺍﻓﺮﺍﺩﻱ ﺍﺳﺖ ﮐﻪ ﺩﺭ ﺍﻳﻦ ﺷﺮﻁﺑﻨﺪﻱ ﺷﺮﮐﺖ ﮐﺮﺩﻩﺍﻧﺪ .ﺩﺭ ﺣﻘ ﻴﻘﺖ ﺩﺭ ﺍﻳ ﻨﺠﺎ
ﺳﻮﺩﻱ ﮐﻪ ﻧﺼﻴﺐ ﺍﻓﺮﺍﺩ ﻣﻲﺷﻮﺩ ﺑﺎ ﺍﺣﺘﻤﺎﻝ ﺭﺥ ﺩﺍﺩﻥ ﻳﮏ ﭘﻴﺸﺎﻣﺪ ﺩﺭ ﺭﺍﺑﻄﻪ ﺍﺳﺖ .ﻣﻌﻤﻮﻻ ﺩﺭ ﺍﻳﻦ ﺑﺎﺯﺍﺭﻫﺎ ﺳﻪ ﺩﺳﺘﻪ
ﻗﺮﺍﺭﺩﺍﺩ ﺑﺮﺍﻱ ﺷﺮﮐﺖ ﮐﻨﻨﺪﮔﺎﻥ ﺗﻌﺮﻳﻒ ﻣﻲﺷﻮﻧﺪ] . [١ﺍﻳﻦ ﺳﻪ ﺩﺳﺘﻪ ﻗﺮﺍﺭﺩﺍﺩ ﺩﺭ ﺟﺪﻭﻝ ) (۱ﻧﺸﺎﻥ ﺩﺍﺩﻩ ﺷﺪﻩﺍﻧﺪ .ﺩﺭ ﻗﺮﺍﺭﺩﺍﺩ
ﺍﻭﻝ ﮐﻪ ﺑﻪ "ﻫﻤﻪ ﻳﺎ ﻫﻴﭻ" ﻣﻌﺮﻭﻑ ﺍﺳﺖ ،ﻗﺮﺍﺭﺩﺍﺩ ﺑﺎ ﻫﺰﻳﻨﻪﻱ pﺳﻮﺩﻱ ﺑﺮﺍﺑﺮ ۱ﺭﺍ ﺩﺭ ﺍﺯﺍﻱ ﺍﺗﻔﺎﻕ ﺍﻓﺘﺎﺩﻥ ﻳﮏ ﭘﻴﺸﺎﻣﺪ ﻣﺜﻼ
ﺑﺮﻧﺪﻩ ﺷﺪﻥ ﺷﺨﺺ ﺧﺎﺻﻲ ﺩﺭ ﺍﻧﺘﺨﺎﺑﺎﺕ ﻣﻲﭘﺮﺩﺍﺯﺩ .ﻗﻴﻤﺖ ﺩﺭ ﺍﻳﻨﮕﻮﻧﻪ ﻗﺮﺍﺭﺩﺍﺩ ﻧﺸﺎﻥﺩﻫﻨﺪﻩﻱ ﺍﻧﺘﻈﺎﺭ ﺑﺎﺯﺍﺭ ﺍﺯ ﺍﺣﺘﻤﺎﻝ ﺭﺥ
ﺩﺍﺩﻥ ﻳﮏ ﭘﻴﺸﺎﻣﺪ ﺍﺳﺖ .ﺩﺭ ﺩﺳﺘﻪﻱ ﺩﻭﻡ ﻳﺎ "ﻧﺸﺎﻧﻪ "٢ﻣﻘﺪﺍﺭﻱ ﮐﻪ ﻗﺮﺍﺭﺩﺍﺩ ﻣﻲﭘﺮﺩﺍﺯﺩ ﺑﺮ ﺣﺴﺐ ﺍﻓﺰﺍﻳﺶ ﻭ ﻳﺎ ﮐﺎﻫﺶ ﻳﮏ
ﻋﺪﺩ ،ﻣﺜﻼ ﺩﺭﺻﺪ ﺁﺭﺍﻱ ﻳﮏ ﮐﺎﻧﺪﻳﺪﺍ ﺗﻐﻴﻴﺮ ﻣﻲﮐﻨﺪ .ﻗﻴﻤﺖ ﺩﺭ ﻧﻈﺮ ﮔﺮﻓﺘﻪ ﺷﺪﻩ ﺑﺮﺍﻱ ﺍﻳﻦ ﻗﺮﺍﺭﺩﺍﺩ ﻧﺸﺎﻥﺩﻫﻨﺪﻩﻱ ﻣﻴﺎﻧﮕﻴﻦ
ﺍﺭﺯﺷﻲ ﺍﺳﺖ ﮐﻪ ﺑﺎﺯﺍﺭ ﺑﺮﺍﻱ ﻳﮏ ﭘﻴﺸﺎﻣﺪ ﺍﻧﺘﻈﺎﺭ ﺩﺍﺭﺩ .ﺩﺭ ﻧﻬﺎﻳﺖ ﺩﺭ ﺷﺮﻁﺑﻨﺪﻱ "ﮔﺴﺘﺮﻩ "٣ﻗﺮﺍﺭﺩﺍﺩ ﺑﺮ ﺭﻭﻱ ﻣﻘﺪﺍﺭﻱ ﺍﺳﺖ
ﮐﻪ ﻣﺸﺨﺺ ﮐﻨﻨﺪﻩﻱ ﺭﺧﺪﺍﺩ ﻳﮏ ﻭﺍﻗﻌﻪ ﺍﺳﺖ ﻣﺜﻼ ﺩﺭﺻﺪﻱ ﺍﺯ ﺁﺭﺍ ﮐﻪ ﻳﮏ ﮐﺎﻧﺪﻳﺪﺍ ﺑﺪﺳﺖ ﻣﻲﺁﻭﺭﺩ ﻳﺎ ﺩﺭ ﻓﻮﺗﺒﺎﻝ ﺗﻌﺪﺍﺩ
ﺍﻣﺘﻴﺎﺯﺍﺗ ﻲ ﮐﻪ ﻳﮏ ﺗﻴﻢ ﺩﺭ ﭘﺎﻳﺎﻥ ﻓﺼﻞ ﮐﺴﺐ ﻣﻲﻧﻤﺎﻳﺪ .ﺩﺭ ﺍﻳﻦ ﻧﻮﻉ ﺷﺮﻁﺑﻨﺪﻱ ﻗﻴﻤﺖ ﺛﺎﺑﺖ ﺍﺳﺖ ﻭﻟ ﻲ ﮔﺴﺘﺮﻩ ﻣﻲﺗﻮﺍﻧﺪ
ﺗﻨﻈﻴﻢ ﺷﻮﺩ .ﺍﮔﺮ ﺩﺭ ﺍﻳﻦ ﺷﺮﻁﺑﻨﺪﻱ ﺑﻪ ﺑﺮﻧﺪﻩﻫﺎ ﺩﻭ ﺑﺮﺍﺑﺮ ﻭﺟﻪ ﭘﺮﺩﺍﺧﺘﻲ ﺩﺍﺩﻩ ﺷﺪﻩ ﻭ ﺑﺎﺯﻧﺪﻩﻫﺎ ﺻﻔﺮ ﺩﺭﻳﺎﻓﺖ ﮐﻨﻨﺪ ،ﻣﻴﺎﻧﻪﻱ
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Prediction markets
Index
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Spread
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ﻧﺘﻴﺠﻪ ﺍﺯ ﺩﻳﺪﮔﺎﻩ ﺑﺎﺯﺍﺭ ﻣﺸﺨﺺ ﻣﻲﮔﺮﺩﺩ ﺯﻳﺮﺍ ﺍﻳﻦ ﺷﺮﻁﺑﻨﺪﻱ ﺩﺭ ﺻﻮﺭﺗﻲ ﻣﻨﺼﻔﺎﻧﻪ ﺍﺳﺖ ﮐﻪ ﺍﺣﺘﻤﺎﻝ ﺣﺎﺩﺙ ﺷﺪﻥ ﻭﺍﻗﻌﻪ
ﺑﺎ ﺭﺥ ﻧﺪﺍﺩﻥ ﺁﻥ ﺑﺮﺍﺑﺮ ﺑﺎﺷﺪ .
ﺍﻳ ﻦ ﻗﺮﺍﺭﺩﺍﺩﻫﺎ ﺑﻪ ﺻﻮﺭﺕ ﺗﻌﺮﻳﻒ ﺷﺪﻩ ،ﺍﻧﺘﻈﺎﺭ ﺑﺎﺯﺍﺭ ﺍﺯ ﻳﮏ ﭘﺎﺭﺍﻣﺘﺮ ﺧﺎﺹ ﻣﺜﻼ ﺍﺣﺘﻤﺎﻝ ،ﻣ ﻴﺎﻧﮕﻴﻦ ﻭ ﻣﻴﺎﻧﻪ ﺭﺍ ﻣﺸﺨﺺ
ﻣﻲﻧﻤﺎﻳﺪ .ﺍﻣﺎ ﺍﺯ ﺑﺎﺯﺍﺭﻫﺎﻱ ﭘﻴﺸﮕﻮ ﻣﻲﺗﻮﺍﻥ ﺑﺮﺍﻱ ﺍﺭﺯﻳﺎﺑﻲ ﻋﺪﻡ ﻗﻄﻌﻴﺖ ﺩﺭ ﺭﺍﺑﻄﻪ ﺑﺎ ﺍﻳ ﻦ ﺍﻧﺘﻈﺎﺭﺍﺕ ﻧﻴﺰ ﺍﺳﺘﻔﺎﺩﻩ ﻧﻤﻮﺩ .ﻣﺜﻼ
ﺧﺎﻧﻮﺍﺩﻩﺍﻱ ﺍﺯ ﻗﺮﺍﺭﺩﺍﺩﻫﺎﻱ "ﻫﻤﻪ ﻳﺎ ﻫﻴ ﭻ" ﺭﺍ ﺩﺭ ﻧﻈﺮ ﺑﮕﻴﺮﻳﺪ ﮐﻪ ﺩﺭ ﺻﻮﺭﺗﻲ ﮐﻪ ﻳﮏ ﮐﺎﻧﺪﻳﺪﺍ ۴۸ﺩﺭﺻﺪ ۴۹ ،ﺩﺭﺻﺪ۵۰ ،
ﺩﺭﺻﺪ ﻭ ...ﺍﺯ ﺁﺭﺍ ﺭﺍ ﺑﺪﺳﺖ ﺁﻭﺭﺩ ،ﺳﻮﺩ ﻣﻲ ﭘﺮﺩﺍﺯﺩ .ﺍﻳﻦ ﺩﺳﺘﻪ ﺍﺯ ﻗﺮﺍﺭﺩﺍﺩﻫﺎ ﻧﺸﺎﻥ ﺩﻫﻨﺪﻩﻱ ﺗﻮﺯﻳﻊ ﺍﺣﺘﻤﺎﻝ ﺍﻧﺘﻈﺎﺭ ﺑﺎﺯﺍﺭ
ﺍﺳﺖ .ﺩﺭ ﻣﻮﺭﺩ ﻗﺮﺍﺭﺩﺍﺩﻫﺎﻱ "ﮔﺴﺘﺮﻩ" ﻓﺮﺽ ﮐﻨﻴﺪ ﻳﮏ ﻗﺮﺍﺭﺩﺍﺩ ﺩﺍﺭﺍﻱ ﻫﺰﻳﻨﻪﻱ ۴ﺑﻮﺩﻩ ﻭ ﺳﻮﺩ ۵ﺑﭙﺮﺩﺍﺯﺩ ﺩﺭ ﺻﻮﺭﺗﻲ ﮐﻪ
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> .ﺍﻳﻦ ﻗﺮﺍﺭﺩﺍﺩ ،ﻧﺸﺎﻥﺩﻫﻨﺪﻩﻱ ﺍﺭﺯﺵ
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ﺍﺳﺖ ﮐﻪ ﺑﺎﺯﺍﺭ ﺍﺣﺘﻤﺎﻝ ۸۰ﺩﺭﺻﺪﻱ ﺭﺍ ﺑﺮﺍﻱ ﺁﻥ ﭘ ﻴﺶﺑﻴﻨﻲ ﻣﻲﮐﻨﺪ ﻭ ﺩﺭ
ﻭﺍﻗﻊ ﻧﺸﺎﻥﺩﻫﻨﺪﻩﻱ ﻫﺸﺘﺎﺩﻣﻴﻦ ﺩﺭﺻﺪ ﺍﺯ ﺗﻮﺯﻳﻊ ﺍﺳﺖ .ﺑﺎ ﺍﺳﺘﻔﺎﺩﻩ ﺍﺯ ﻗﺮﺍﺭﺩﺍﺩﻫﺎﻱ ﻧﺸﺎﻧﻪ ﻫﻢ ﻣﻲﺗﻮﺍﻥ ﺍﻃﻼﻋﺎﺕ ﺑﻴﺸﺘﺮﻱ ﺩﺭ
ﺭﺍﺑﻄﻪ ﺑﺎ ﺗﻮﺯﻳﻊ ﺑﺪﺳﺖ ﺁﻭﺭﺩ .ﻣﺜﻼ ﺑﺎﺯﺍﺭﻱ ﺭﺍ ﺩﺭ ﻧﻈﺮ ﺑﮕﻴﺮﻳﺪ ﮐﻪ ﺩﻭ ﻗﺮﺍﺭﺩﺍﺩ ﻧﺸﺎﻧﻪ ﻳﮑﻲ ﺑﻪ ﺻﻮﺭﺕ ﺧﻄﻲ ﻭ ﺩﻳﮕﺮﻱ ﺑﺎ
ﻣﺮﺑﻊ ﻧﺸﺎﻧﻪ
ﺭﺍ ﺩﺍﺭﺍﺳﺖ .ﻗﻴﻤﺖ ﺑﺎﺯﺍﺭ ﺑﺮﺍﻱ ﺍﻳﻦ ﻗﺮﺍﺭﺩﺍﺩﻫﺎ ﻧﺸﺎﻥﺩﻫﻨﺪﻩﻱ ﺍﻧﺘﻈﺎﺭ ﺑﺎﺯﺍﺭ ﺍﺯ ) ( ﻭ ) ( ﺍﺳﺖ ﮐﻪ ﺑﺎ
ﺍﺳﺘﻔﺎﺩﻩ ﺍﺯ ﺍﻳﻦ ﺩﻭ ﻣﻘﺪﺍﺭ ﻣﻲﺗﻮﺍﻥ ﻣﻘﺪﺍﺭ ﺍﻧﺤﺮﺍﻑ ﻣﻌﻴﺎﺭ ﺭﺍ ﺑﺪﺳﺖ ﺁﻭﺭﺩ.
ﺟﺪﻭﻝ ) :(۱ﺍﻧﻮﺍﻉ ﻗﺮﺍﺭﺩﺍﺩﻫﺎ
ﻗﺮﺍﺭﺩﺍﺩ
ﻫﻤﻪ ﻳﺎ ﻫﻴﭻ
ﻣﺜﺎﻝ
ﺟﺰﺋﻴﺎﺕ
ﻧﺸﺎﻥ ﺩﻫﻨﺪﻩﻱ ﺍﻧﺘﻈﺎﺭ ﺑﺎﺯﺍﺭ
ﺭﺧﺪﺍﺩ :yﮐﺎﻧﺪﻳﺪ aﺍﻧﺘﺨﺎﺑﺎﺕ
ﻗﺮﺍﺭﺩﺍﺩ ﻫﺰﻳﻨﻪﻱ pﺩﺍﺭﺩ ﻭ ﺍﮔﺮ
ﺍﺣﺘﻤﺎﻝ ﺍﻳﻨﮑﻪ yﺭﺥ ﺩﻫﺪ،
ﺁﺭﺍﻱ ﮐﺴﺐ ﺷﺪﻩ ﺗﻮﺳﻂ
ﻣﻲﮐﻨﺪ.
ﺭﺍ ﻣﻲﺑﺮﺩ.
ﻧﺸﺎﻧﻪ
ﻗﺮﺍﺭﺩﺍﺩ ﺑﺮﺍﻱ ﻫﺮ ﺩﺭﺻﺪ ﺍﺯ
ﮔﺴﺘﺮﻩ
ﮐﺎﻧﺪ ﻳﺪ aﺳﻮﺩ ۱ﻣﻲﭘﺮﺩﺍﺯﺩ.
ﻗﺮﺍﺭﺩﺍﺩ ﺑﻪ ﻫﻤﺎﻥ ﺍﻧﺪﺍﺯﻩ ﭘﻮﻝ
ﻣﻲﭘﺮﺩﺍﺯﺩ ﺍﮔﺮ ﮐﺎﻧﺪﻳﺪ a
ﺑﻴﺸﺘﺮ ﺍﺯ
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ﮐﺴﺐ ﮐﻨﺪ.
ﺩﺭﺻﺪ ﺍﺯ ﺁﺭﺍ ﺭﺍ
yﺭﺥ ﺩﻫﺪ ﺳﻮﺩ ۱ﻣﻲﭘﺮﺩﺍﺯﺩ.
ﻗﺮﺍﺭﺩﺍﺩ ﻣﻘﺪﺍﺭ yﺭﺍ ﭘﺮﺩﺍﺧﺖ
ﻗﺮﺍﺭﺩﺍﺩ ﻫﺰﻳﻨﻪﻱ ۱ﺩﺍﺭﺩ .ﺍﮔﺮ
∗
>
ﺷﻮﺩ ۲ﻣﻲﭘﺮﺩﺍﺯﺩ
ﻭ ﺩﺭ ﻏﻴﺮ ﺍﻳﻦ ﺻﻮﺭﺕ ﺻﻔﺮ.
ﺍﺯ ...
) ( .
ﻣﻴﺎﻧﮕﻴﻦ ﺧﺮﻭﺟﻲ . ( ) ، y
ﻣﻴﺎﻧﻪﻱ ﻣﻘﺪﺍﺭ . y
ﺑﺎﺯﺍﺭﻫﺎﻱ ﭘﻴﺸﮕﻮ ﺩﺭ ﭘﻴﺶﺑﻴﻨﻲ ﻣﻮﺍﺭﺩ ﻣﺨﺘﻠﻔﻲ ﻣﺎﻧﻨﺪ ﺑﺎﺯﺍﺭﻫﺎﻱ ﻣﺎﻟﻲ ،ﺣﻮﺍﺩﺙ ﺳﻴﺎﺳﻲ ﻣﺎﻧﻨﺪ ﺍﻧﺘﺨﺎﺑﺎﺕ ﻭ ﭘﻴﺶﺑﻴﻨﻲ
ﻣﺴﺎﺑﻘﺎﺕ ﻭﺭﺯﺷﻲ ﺍﺳﺘﻔﺎﺩﻩ ﻣﻲﺷﻮﻧﺪ ﻭ ﺩﺭ ﻋﻤﻞ ﻧﺘﺎﻳﺞ ﻧﺰﺩﻳﮏ ﺑﻪ ﻭﺍﻗﻌﻴﺘﻲ ﺭﺍ ﻧﻴﺰ ﺑﺪﺳﺖ ﻣﻲﺩﻫﻨﺪ .ﺩﺭ ﺍﻳ ﻨﺠﺎ ﺑﻪ ﺑﺮﺭﺳ ﻲ
ﻧﻘﻄﻪﻱ ﺗﻌﺎﺩﻝ ٤ﺩﺭ ﺑﺎﺯﺍﺭﻫﺎﻱ ﭘﻴﺸﮕﻮ ﻣﻲﭘﺮﺩﺍﺯﻳﻢ.
Equilibrium
4
٢ﻧﻘﻄﻪﻱ ﺗﻌﺎﺩﻝ ﺩﺭ ﺑﺎﺯﺍﺭﻫﺎﻱ ﭘ ﻴﺸﮕﻮ
ﺩﺭ ﺍﻳﻦ ﺑﺨﺶ ﺑﻪ ﺑﺮﺭﺳﻲ ﻧﻘﻄﻪﻱ ﺗﻌﺎﺩﻝ ﺩﺭ ﺑﺎﺯﺍﺭﻫﺎﻱ ﭘﻴﺸﮕﻮ ﺧﻮﺍﻫﻴﻢ ﭘﺮﺩﺍﺧﺖ .ﻓﺮﺽ ﻣﻲﮐﻨﻴﻢ ﮐﻪ ﻗﺮﺍﺭﺩﺍﺩﻫﺎ ﺍﺯ ﻧﻮﻉ
"ﻫﻤﻪ ﻳﺎ ﻫﻴﭻ" ﺑﻮﺩﻩ ﻭ ﺗﻼﺵﻫﺎﻱ ﺍﻧﺠﺎﻡ ﺷﺪﻩ ﺑﺮﺍﻱ ﺑﺪﺳﺖ ﺁﻭﺭﺩﻥ ﻧﻘﻄﻪﻱ ﺗﻌﺎﺩﻝ ﺩﺭ ﺍﻳﻦ ﺑﺎﺯﺍﺭﻫﺎ ﺭﺍ ﻣﻮﺭﺩ ﺑﺮﺭﺳﻲ ﻗﺮﺍﺭ
ﺧﻮﺍﻫ ﻴﻢ ﺩﺍﺩ .ﺩﺭ ﺳﺎﻝ Manski ٢٠٠٤ﺗﺤﻠﻴﻠ ﻲ ﺩﺭ ﻣﻮﺭﺩ ﺭﺍﺑﻄﻪﻱ ﺑﻴﻦ ﺗﻮﺯﻳﻊ ﺑﺎﻭﺭ ﺗﺠﺎﺭ ﻭ ﻗ ﻴﻤﺖ ﺗﻌﺎﺩﻟﻲ ﺑﺎﺯﺍﺭﻫﺎﻱ ﭘﻴﺸﮕﻮ
ﺍﻧﺠﺎﻡ ﺩﺍﺩ] .[٢ﺩﺭ ﺍﻳ ﻦ ﺗﺤﻠﻴﻞ ،ﺗﺠﺎﺭ ﺍﻓﺮﺍﺩﻱ ﺑﻲﺗﻔﺎﻭﺕ ﺑﻪ ﺭﻳﺴﮏ ٥ﻭ ﺩﺍﺭﺍﻱ ﺑﺎﻭﺭﻫﺎﻱ ﻧﺎﻫﻤﮕﻮﻥ ﺩﺭ ﻧﻈﺮ ﮔﺮﻓﺘﻪ ﺷﺪﻧﺪ .ﺍﻭ
ﺷﺮﺍﻳﻄﻲ ﺭﺍ ﺑﺪﺳﺖ ﺁﻭﺭﺩ ﮐﻪ ﻣﻴ ﺎﻧﮕﻴ ﻦ ﺑﺎﻭﺭ ﺍﻓﺮﺍﺩ ﻭ ﻗ ﻴﻤﺖ ﺗﻌﺎﺩﻟﻲ ﺩﺍﺭﺍﻱ ﺍﺧﺘﻼﻑ ﭼﺸﻤﮕ ﻴﺮﻱ ﻫﺴﺘﻨﺪ .ﺷﺮﺍﻳﻂ ﺑﺎﺯﺍﺭ ﺑﻪ ﺍﻳ ﻦ
ﺻﻮﺭﺕ ﺩﺭ ﻧﻈﺮ ﮔﺮﻓﺘﻪ ﺷﺪﻩ ﺍﺳﺖ :ﻗﺮﺍﺭﺩﺍﺩﻫﺎ ﺍﺯ ﻧﻮﻉ ﻫﻤﻪ ﻳﺎ ﻫﻴﭻ ﺑﻮﺩﻩ ﻭ ﻳﮏ ﻗﺮﺍﺭﺩﺍﺩ ﺩﺭ ﺻﻮﺭﺕ ﺍﺗﻔﺎﻕ ﺍﻓﺘﺎﺩﻥ mﻣﻘﺪﺍﺭ
۱ﭘﺮﺩﺍﺧﺖ ﻣﻲﮐﻨﺪ ﻭ ﻗﺮﺍﺭﺩﺍﺩ ﺩﻳﮕﺮ ﺩﺭ ﺻﻮﺭﺕ ﺭﺧﺪﺍﺩ ) nﻧﻘ ﻴﺾ ( mﻣﻘﺪﺍﺭ ۱ﭘﺮﺩﺍﺧﺖ ﻣﻲ ﮐﻨﺪ .ﻓﺮﺽ ﮐﻨ ﻴﺪ ﻣﻘﺪﺍﺭ ﺍﻳ ﻦ
ﻭ
ﻗﺮﺍﺭﺩﺍﺩﻫﺎ ﺑﺮﺍﺑﺮ
ﺑﺎﺷﺪ ﻭ = 1
+
ﺍﺳﺖ .ﻓﺮﺽ ﮐﻨﻴﺪ ﮐﻪ ﺟﻤﻌﻴﺖ Jﺑﺎ ﺑﺎﻭﺭﻫﺎﻱ ﻧﺎﻫﻤﮕﻮﻥ ﺩﺭ ﺍﻳﻦ
ﺑﺎﺯﺍﺭ ﺷﺮﮐﺖ ﻣﻲﮐﻨﻨﺪ .ﻫﺮ ﺑﺎﺯﻳﮑﻦ jﺩﺍﺭﺍﻱ ﺑﻮﺩﺟﻪﻱ ﺛﺎﺑﺖ
) ,
ﺑﻮﺩﻩ ﻭ ﺍﺣﺘﻤﺎﻝ
ﺑﺮﺍﻱ ﺭﺥ ﺩﺍﺩﻥ mﻗﺎﺋﻞ ﺍﺳﺖ ﻭ
( ﺗﻮﺯﻳﻌ ﻲ ﺍﺯ ﺑﺎﻭﺭﻫﺎ ﻭ ﺑﻮﺩﺟﻪﻫﺎﺳﺖ .ﺍﮔﺮ ﺍﻳﻦ ﺗﻮﺯﻳﻊ ﻣﺘﻨﺎﻭﺏ ﻭ ﺑﻮﺩﺟﻪﻫﺎ ﺍﺯ ﻧﻈﺮ ﺍﺣﺘﻤﺎﻟ ﻲ ﻣﺴﺘﻘﻞ ﺍﺯ ﺑﺎﻭﺭﻫﺎ
ﺑﺎﺷﻨﺪ ،ﻣﻘﺪﺍﺭ ﺗﻌﺎﺩﻝ ﺩﺭ ﭼﻨﻴﻦ ﺑﺎﺯﺍﺭﻱ ﺍﺯ ﺣﻞ ﻣﻌﺎﺩﻟﻪﻱ )
>
( =
ﺑﺪﺳﺖ ﻣﻲﺁﻳﺪ .ﺩﺭ ﺍﻳﻦ ﺷﺮﺍﻳﻂ ﻭﻗﺘﻲ
ﻗﻴﻤﺖ ﺑﻴﺸﺘﺮ ﺍﺯ 0.5ﺑﺎﺷﺪ ،ﺍﻓﺮﺍﺩ ﺑﻴﺸﺘﺮﻱ ﺩﺍﺭﺍﻱ "ﺑﺎﻭﺭﻱ" ﺑﺎﻻﺗﺮ ﺍﺯ ﻗﻴﻤﺖ ﻫﺴﺘﻨﺪ ﻭ ﺑﺮ ﻋﮑﺲ .ﺍﺯ ﺍﻳﻦ ﺭﺍﺑﻄﻪ ﻧﺘﻴﺠﻪ ﻣﻲ-
ﺷﻮﺩ ﮐﻪ ﻣﻴ ﺎﻧﮕﻴﻦ ﺑﺎﻭﺭ ﺍﻓﺮﺍﺩ )
ﻋﺮﺽ )
( ﺩﺭ ﺑﺎﺯﻩﻱ )
−
,2
( ﻗﺮﺍﺭ ﺩﺍﺭﺩ .ﺍﻳﻦ ﺑﺎﺯﻩ ﺩﺍﺭﺍﻱ ﻧﻘﻄﻪﻱ ﻣ ﻴﺎﻧﻪﻱ πﻭ
( 2ﺍﺳﺖ .ﺩﺭ ﻧﺘ ﻴﺠﻪ ﻗﻴﻤﺖﻫﺎﻳﻲ ﮐﻪ ﻧﺰﺩﻳﮏ ﺻﻔﺮ ﻭ ﻳﮏ ﻫﺴﺘﻨﺪ ،ﺍﻃﻼﻋﺎﺕ ﺧﻮﺑﻲ ﺍﺯ ﺑﺎﻭﺭ ﺍﻓﺮﺍﺩ
−
ﺩﺍﺭﻧﺪ ﺍﻣﺎ ﻗ ﻴﻤﺖﻫﺎﻱ ﻧﺰﺩﻳﮏ 0.5ﺩﺍﺭﺍﻱ ﺍﻃﻼﻋﺎﺕ ﮐﻤﺘﺮﻱ ﻫﺴﺘﻨﺪ .ﺑﺎ ﺩﺭ ﻧﻈﺮ ﮔﺮﻓﺘﻦ ﺍﻳﻦ ﺷﺮﺍﻳﻂ ﻣﺸﺨﺺ ﻣﻲﺷﻮﺩ ﮐﻪ
ﻗﻴﻤﺖ ﺗﻌﺎﺩﻟﻲ ﺩﺭ ﺑﺎﺯﺍﺭﻫﺎﻱ ﭘﻴﺸﮕﻮ ﺩﻗﻴﻘﺎ ﻣﺸﺨﺺ ﮐﻨﻨﺪﻩﻱ ﻣﻴﺎﻧﮕﻴﻦ ﺑﺎﻭﺭ ﺍﻓﺮﺍﺩ ﻧﻴﺴﺖ ﺑﻠﮑﻪ ﺣﺪﻱ ﺭﺍ ﺑﺮﺍﻱ ﻣﻴﺎﻧﮕﻴﻦ ﺑﺎﻭﺭ
ﻣﺸﺨﺺ ﻣﻲﻧﻤﺎﻳﺪ .ﻧﺘﺎﻳﺠﻲ ﮐﻪ Manskiﺑﻪ ﺩﺳﺖ ﺁﻭﺭﺩ ﻧﺸﺎﻥ ﻣﻲ ﺩﻫﺪ ﮐﻪ ﻣﻤﮑﻦ ﺍﺳﺖ ﮐﻪ ﺑﻴﻦ ﻣﻴﺎﻧﮕﻴﻦ ﺑﺎﻭﺭ ﺍﻓﺮﺍﺩ ﻭ
ﻗﻴﻤﺖ ﺗﻌﺎﺩﻟﻲ ﺍﺧﺘﻼﻑ ﻗﺎﺑﻞ ﺗﻮﺟﻬﻲ ﻭﺟﻮﺩ ﺩﺍﺷﺘﻪ ﺑﺎﺷﺪ .ﺍﻣﺎ ﺍﺯ ﺁﻧﺠﺎﺋﻴﮑﻪ ﺍﻳﻦ ﺑﺎﺯﺍﺭﻫﺎ ﻣﻌﻤﻮﻻ ﭘﻴﺶﺑﻴﻨﻲ ﺩﻗﻴﻘﻲ ﺭﺍ ﺍﻧﺠﺎﻡ
ﻣﻲﺩﻫﻨﺪ ﺍﻳﻦ ﻧﺘﻴﺠﻪﮔﻴﺮﻱ ﻋﺠﻴﺐ ﺑﻪ ﻧﻈﺮ ﻣﻲﺭﺳﺪ.
ﺩﺭ ﺳﺎﻝ Gjerstad ۲۰۰۵ﻧﺸﺎﻥ ﺩﺍﺩ ﮐﻪ ﻋﺎﻣﻞ ﺭﻳﺴﮏﻧﺎﭘﺬﻳﺮﻱ ٦ﻭ ﺗﻮﺯﻳﻊ ﺑﺎﻭﺭﻫﺎﻱ ﺍﻓﺮﺍﺩ ﻗﻴﻤﺖ ﺗﻌﺎﺩﻟﻲ ﺭﺍ ﺑﻪ ﻣﻴﺰﺍﻥ ﻗﺎﺑﻞ
ﺗﻮﺟﻬﻲ ﺗﺤﺖ ﺗﺎﺛﻴﺮ ﻗﺮﺍﺭ ﻣﻲﺩﻫﻨﺪ] . [٣ﺍﻭ ﻧﺸﺎﻥ ﺩﺍﺩ ﮐﻪ ﺍﮔﺮ ﺍﻓﺮﺍﺩ ﺩﺍﺭﺍﻱ ﺗﺎﺑﻊ ﺳﻮﺩﻣﻨﺪﻱ ٧ CRRAﺑﺎﺷﻨﺪ ،ﻗﻴﻤﺖ ﺗﻌﺎﺩﻟﻲ
ﺑﺎﺯﺍﺭ ﺑﺮﺍﺑﺮ ﻣ ﻴﺎﻧﮕ ﻴﻦ ﺑﺎﻭﺭ ﺍﻓﺮﺍﺩ ﺧﻮﺍﻫﺪ ﺑﻮﺩ .ﻓﺮﺽ ﮐﻨ ﻴﺪ ﻳﮏ ﻗﺮﺍﺭﺩﺍﺩ ﺩﺍﺭﺍﻱ ﺩﻭ ﺣﺎﻟﺖ Aﻭ Bﺑﺎﺷﺪ .ﮐﺎﻻﻱ Aﺩﺍﺭﺍﻱ
ﺍﺭﺯﺵ ۱ﺩﺭ
ﺍﻭﻟ ﻴﻪﻱ
ﻭ ﺍﺭﺯﺵ ﺻﻔﺮ ﺩﺭ
،ﺍﮔﺮ ﺍﻭ
ﻭﺍﺣﺪ ﺍﺯ Aﻭ
+ m (1 − p ) − n p
ﺑﻮﺩﻩ ﻭ ﺑﺮﺍﻱ ﮐﺎﻻﻱ Bﺍﻳ ﻦ ﻣﻘﺎﺩﻳﺮ ﻣﻌﮑﻮﺱ ﺍﺳﺖ .ﺑﺮﺍﻱ ﻋﺎﻣﻞ iﺑﺎ ﻣﻮﺟﻮﺩﻱ
ﻭﺍﺣﺪ ﺍﺯ Bﺭﺍ ﺩﺭ ﺍﺧﺘﻴﺎﺭ ﺩﺍﺷﺘﻪ ﺑﺎﺷﺪ ،ﺩﺍﺭﺍﻳﻲ ﻧﻬﺎﻳﻲ ﺁﻥ ﺩﺭ
ﻭ + n (1 − p ) − m p
ﺑﺎﺷﺪ ،ﻣﻲﺗﻮﺍﻥ ﻧﺸﺎﻥ ﺩﺍﺩ ﮐﻪ ﺍﻳﻦ ﺩﺍﺭﺍﻳﻲ ﺑﺮﺍﺑﺮ ﺩﺍﺷﺘﻦ − n
ﺗﺼﻤﻴﻢﮔﻴﺮﻱ ﺑﺮﺍﻱ ﻫﺮ ﻋﺎﻣﻞ ﺭﺍ ﻣﻲﺗﻮﺍﻥ ﺑﺎ ﻣﺘﻐ ﻴﺮ
−
=
ﺩﺭ
ﺑﺮﺍﺑﺮ ﺑﺎ
ﺧﻮﺍﻫﺪ ﺑﻮﺩ .ﺩﺭ ﺻﻮﺭﺗ ﻲ ﮐﻪ > n
ﺍﺯ Aﻭ ﺻﻔﺮ ﻭﺍﺣﺪ ﺍﺯ Bﺍﺳﺖ .ﺩﺭ ﻧﺘﻴﺠﻪ ﻣﺴﺌﻠﻪﻱ
ﻭ ﺩﺍﺭﺍﻳﻲ ﻧﻬﺎﻳﻲ )
(1 −
+
ﺩﺭ
ﻭ
5
Risk Neutral
Risk Aversion
7
Constant Relative Risk Aversion
6
−q p
ﺩﺭ
ﺻﻮﺭﺕ ﺯﻳﺮ ﺑﺎﺷﺪ.
ﻣﺪﻝ ﮐﺮﺩ .ﻓﺮﺽ ﮐﻨﻴﺪ ﮐﻪ ﺑﺮﺍﻱ )∞ θ ∈ (−∞,ﻋﺎﻣﻞ iﺩﺍﺭﺍﻱ ﺗﺎﺑﻊ ﺳﻮﺩﻣﻨﺪﻱ CRRAﺑﻪ
ﺍﮔﺮ ﻋﺎﻣﻞ iﺩﺍﺭﺍﻱ ﺑﺎﻭﺭ
ﺍﻧﺘﺨﺎﺏ
≠1
=1
if θ ≠ 1
if θ = 1
ﺑﺮﺍﻱ ﺣﺎﺩﺙ ﺷﺪﻥ
ln w
ﻭ ﺑﺎﻭﺭ
ﺍﺳﺖ ﮐﻪ ﻋﺒﺎﺭﺕ ﺯﻳﺮ ﺩﺍﺭﺍﻱ ﺑﻴﺸﺘﺮﻳﻦ ﻣﻘﺪﺍﺭ ﮔﺮﺩﺩ.
) ,
(1 −
),
)
−
)(1 −
(+
−
(
)
= ) (w
1 −ﺑﺮﺍﻱ ﺭﺥ ﺩﺍﺩﻥ
) +
(1 −
ﺑﺎ ﺣﻞ ﺍﻳﻦ ﻣﻌﺎﺩﻟﻪ ﺩﺭ ] [٣ﻧﺘﺎﻳﺞ ﺯﻳﺮ ﺑﺪﺳﺖ ﻣﻲﺁﻳﺪ (۱ :ﺩﺭ ﺣﺎﻟﺘﻲ ﮐﻪ
(1 −
+
+
ﺑﺎﺷﺪ ،ﺁﻧﮕﺎﻩ ﻣﺴﺌﻠﻪﻱ ﻋﺎﻣﻞ i
= ]) ,
( [
ﺑﺮﺍﺑﺮ ۱ﺑﺎﺷﺪ ،ﻳﻌﻨﻲ ﺗﺎﺑﻊ ﺳﻮﺩﻣﻨﺪﻱ ﺑﻪ ﺻﻮﺭﺕ
ﻟﮕﺎﺭﻳﺘﻤﻲ ﺩﺭ ﻧﻈﺮ ﮔﺮﻓﺘﻪ ﺷﻮﺩ ،ﻗﻴﻤﺖ ﺗﻌﺎﺩﻟﻲ ﺑﺮﺍﺑﺮ ﻣﻴﺎﻧﮕﻴﻦ ﺗﻮﺯﻳﻊ ﺑﺎﻭﺭ ﺍﻓﺮﺍﺩ ﺍﺳﺖ ﻳﻌﻨﻲ ] [ =
∗
ﺑﻮﺩﻩ ﻭ
∗
ﺑﺮﺍﺑﺮ
µﻣﻴﺎﻧﮕﻴﻦ ﺗﻮﺯﻳﻊ ﺑﺎﻭﺭ ﺍﻓﺮﺍﺩ ﺍﺳﺖ (۲ .ﺩﺭ ﺻﻮﺭﺗﻲ ﮐﻪ ﻫﻤﻪﻱ ﻋﺎﻣﻞﻫﺎ ﺩﺍﺭﺍﻱ ﺗﺎﺑﻊ ﺳﻮﺩﻣﻨﺪﻱ CRRAﻳﮑﺴﺎﻧﻲ ﺑﺎﺷﻨﺪ،
ﺗﻮﺯﻳﻊ ﺑﺎﻭﺭﻫﺎ ﻭ ﺳﺮﻣﺎﻳﻪﻫﺎ ﺍﺯ ﻳﮑﺪﻳﮕﺮ ﻣﺴﺘﻘﻞ ﺑﺎﺷﺪ ﻭ ﺗﻮﺯﻳﻊ ﺑﺎﻭﺭ ﻋﺎﻣﻞﻫﺎ ﺣﻮﻝ ﻣﻴ ﺎﻧﮕﻴﻦ ﺁﻥ µﻣﺘﻘﺎﺭﻥ ﺑﺎﺷﺪ ،ﻣﻲﺗﻮﺍﻥ
ﺛﺎﺑﺖ ﮐﺮﺩ :ﺑﺮﺍﻱ )∈ (−∞, 0] ∪ (1 2 , 1
( .ﺑﺮﺍﻱ θ > 1ﻗ ﻴﻤﺖ ﺗﻌﺎﺩﻟﻲ ﺩﺭ ﺑﺎﺯﻩﻱ ) (0,ﻗﺮﺍﺭ ﺩﺍﺭﺩ ﺩﺭ ﺻﻮﺭﺗ ﻴﮑﻪ < 1 2
,1 2 ,
) ,1 2
ﻗﻴﻤﺖ ﺗﻌﺎﺩﻟ ﻲ
ﻭ ﺩﺭ ﺑﺎﺯﻩﻱ ) ( , 1ﻗﺮﺍﺭ ﺩﺍﺭﺩ ﺍﮔﺮ . > 1 2
∗
ﺑ ﻴﻦ µﻭ 1 2ﻗﺮﺍﺭ ﺩﺍﺭﺩ .ﻳﻌﻨﻲ ∈
∗
٣ﻣﮑﺎﻧﻴﺰﻡﻫﺎﻱ ﺷﺮﻁﺑﻨﺪﻱ٨
ﻣﮑﺎﻧﻴﺰﻡﻫﺎﻱ ﺷﺮﻁﺑﻨﺪﻱ ﺑﺮﺍﻱ ﺭﻓﻊ ﻣﺸﮑﻼﺕ ﻣﻄﺮﺡ ﺩﺭ ﺯﻣﻴﻨﻪ ﺗﺤﻠﻴﻞ ﭘﻴﭽﻴﺪﮔﻲ ﺗﻌﺎﺩﻝ ﺩﺭ ﺑﺎﺯﺍﺭﻫﺎﻱ ﭘﻴﺸﮕﻮ ﻃﺮﺍﺣﻲ
ﺷﺪﻩﺍﻧﺪ .ﺍﻳﻦ ﻣﮑﺎﻧﻴﺰﻡﻫﺎ ﺑﻪ ﺳﻪ ﺩﺳﺘﻪ ﮐﻠﻲ ﺷﺮﻁﺑﻨﺪﻱ ﺯﻳﺮﻣﺠﻤﻮﻋﻪﺍﻱ ،٩ﺷﺮﻁﺑﻨﺪﻱ ﺩﻭﺗﺎﻳﻲ ١٠ﻭ ﺷﺮﻁﺑﻨﺪﻱ ﺻﻔﺮﻭﻳﮏ ١١
ﺗﻘﺴﻴﻢ ﻣﻲﺷﻮﻧﺪ.
ﺑﺎ ﺩﺭ ﻧﻈﺮ ﮔﺮﻓﺘﻦ ﻧﻮﻉ ﺧﺎﺻﻲ ﺍﺯ ﺗﺮﮐﻴﺐﺷﻨﺎﺳﻲ ١٢ﺭﻗ ﺒﺎﻱ ﻣﻮﺟﻮﺩ ﺩﺭ ﺑﺎﺯﺍﺭ ﮐﻪ ﺧﺮﻭﺟﻲ ﺁﻥ ﺭﺩﻩﺑﻨﺪﻱ nﺭﻏﻴﺐ
ﮐﺎﻧﺪﻳﺪ ﻣﻲﺑﺎﺷﺪ ،ﻣﺠﻤﻮﻋﻪﺍﻱ ﺍﺯ ﮐﺎﻧﺪﻳﺪﻫﺎ ﺑﻪ ﺻﻮﺭﺕ } = {1, … ,
ﺗﻌﺮﻳﻒ ﺷﺪﻩ ﺍﺳﺖ .ﺍﺯ ﺍﻳﻦ ﻣﺠﻤﻮﻋﻪ ﻣﻲﺗﻮﺍﻥ
ﺑﻪ ﻣﻨﻈﻮﺭ ﻧﻤﺎﻳﺶ ﻣﺠﻤﻮﻋﻪ ﻣﮑﺎﻥﻫﺎ ﻧﻴﺰ ﺍﺳﺘﻔﺎﺩﻩ ﮐﺮﺩ .ﻫﻤﭽﻨﻴﻦ ﻓﺮﺽ ﻣﻲﮐﻨﻴﻢ Ωﻣﺠﻤﻮﻋﻪ ﺗﻤﺎﻡ ﺟﺎﻳﮕﺸﺖﻫﺎ ﺑﺮ ﺭﻭﻱ
ﺍﺳﺖ .ﺧﺮﻭﺟﻲ σ ∈ Ωﺑﻪ ﻋﻨﻮﺍﻥ ﻳﮏ ﺳﻨﺎﺭﻳﻮ ﺗﻔﺴﻴﺮ ﻣﻲﺷﻮﺩ ﮐﻪ ﺩﺭ ﺁﻥ ﻫﺮ ﮐﺎﻧﺪﻳﺪ ﺩﺭ ﻣﮑﺎﻥ ) ( σﻗﺮﺍﺭ ﻣﻲﮔﻴﺮﺩ.
ﺍﺯ ﺯﺑﺎﻥﻫﺎﻱ ﺷﺮﻁﺑﻨﺪﻱ ﭘﻴﺸﻨﻬﺎﺩ ﺷﺪﻩ ﻣﻲﺗﻮﺍﻥ ﺑﻪ ﺷﺮﻁﺑﻨﺪﻱ ﺯﻳﺮﻣﺠﻤﻮﻋﻪﺍﻱ ﻭ ﺷﺮﻁﺑﻨﺪﻱ ﺩﻭﺗﺎﻳﻲ ﺍﺷﺎﺭﻩ ﮐﺮﺩ .ﻣﺴﺌﻠﻪﺍ ﻱ
ﮐﻪ ﺩﺭ ﺍﻳ ﻨﺠﺎ ﺑﺮﺍﻱ ﺻﺎﺣﺐ ﺑﺎﺯﺍﺭ ﻭﺟﻮﺩ ﺩﺍﺭﺩ ﺍﻳﻦ ﺍﺳﺖ ﮐﻪ ﺩﺭ ﺑﻴﻦ ﭘﻴﺸﻨﻬﺎﺩﻫﺎﻳﻲ ﮐﻪ ﺑﺎ ﻗﻴﻤﺖﻫﺎﻱ ﻣﺘﻔﺎﻭﺕ ﻭﺟﻮﺩ ﺩﺍﺭﺩ ﺍﻭ
8
Betting
Subset betting
10
Pair betting
11
Boolean
12
Combinatorics
9
ﺑﻪ ﭼﻪ ﻧﺤﻮﻱ ﺁﻧﻬﺎ ﺭﺍ ﻗﺒﻮﻝ ﻳﺎ ﺭﺩ ﮐﻨﺪ ﺗﺎ ﺑﺎ ﺍﻳﻦ ﺍﻧﺘﺨﺎﺏﻫﺎ ﺭﻳﺴﮑﻲ ﻣﺘﻘﺒﻞ ﻧﺸﺪﻩ ﺑﺎﺷﺪ .ﺗﺤﻠﻴﻞ ﭘﻴﭽﻴﺪﮔﻲ ﻣﺴﺌﻠﻪ ﺗﻄﺎﺑﻖ
ﺍﻭﻟﻮﻳﺖ ١٣ﺑﺮﺍﻱ ﺻﺎﺣﺒﺎﻥ ﺑﺎﺯﺍﺭﻫﺎ ﻭ ﺁﻧﺎﻟﻴﺰﻫﺎﻱ ﻣﺮﺑﻮﻃﻪ ﺩﺭ ] [٤ﺁﻣﺪﻩ ﺍﺳﺖ .ﺩﺭ ﺍﻳﻦ ﺑﺨﺶ ﺑﻪ ﻃﻮﺭ ﻣﺨﺘﺼﺮ ﺑﻪ ﺍﻳﻦ ﺭﻭﺵ-
ﻫﺎﻱ ﺷﺮﻁﺑﻨﺪﻱ ﺍﺷﺎﺭﺍﺗﻲ ﺩﺍﺭﻳﻢ.
١.٣ﺷﺮﻁﺑﻨﺪﻱ ﺯﻳﺮ ﻣﺠﻤﻮﻋﻪﺍﻱ
ﺭﻭﺵ Hansonﺑﺮﺍﻱ ﺻﺎﺣﺒﺎﻥ ﺑﺎﺯﺍﺭﻫﺎ ﺑﻪ ﻳﮏ ﺭﻭﺵ ﺍﺳﺘﺎﻧﺪﺍﺭﺩ ﺗﺒﺪﻳﻞ ﺷﺪﻩ ﺍﺳﺖ ] .[٥ﺭﻭﺵ ١٤ LMSRﺩﺍﺭﺍﻱ ﻣﺰﺍﻳﺎﻱ
ﺯﻳﺎﺩﻱ ﺍﺳﺖ ﻭ ﺗﻮﺳﻂ ﺷﺮﮐﺖﻫﺎﻱ ﻣﺘﻌﺪﺩﻱ ﻣﻮﺭﺩ ﺍﺳﺘﻔﺎﺩﻩ ﻗﺮﺍﺭ ﻣﻲﮔﻴﺮﺩ.
ﺍﻓﺮﺍﺩ ﺷﺮﮐﺖ ﮐﻨﻨﺪﻩ ﺑﺮﺍﻱ ﺷﺮﻁﺑﻨﺪﻱ ﺯﻳﺮ ﻣﺠﻤﻮﻋﻪﺍﻱ ﺩﺭ ﺑﺎﺯﺍﺭ LMSRﺑﻪ ﺩﻭ ﻃﺮﻳﻖ ﺷﺮﻁﺑﻨﺪﻱ ﻣﻲﮐﻨﻨﺪ:
·
ﺑﺮ ﺍﺳﺎﺱ ﻣﻮﻗﻌﻴﺖ
·
ﺑﺮ ﺍﺳﺎﺱ ﮐﺎﻧﺪﻳﺪﻫﺎ
ﺩﺭ ﺭﻭﺵ ﺍﻭﻝ ﻗﺎﻟﺐ ﮐﻠﻲ ﺍﻭﺭﺍﻕ ﺷﺮﻁﺑﻨﺪﻱ ﺑﻪ ﺻﻮﺭﺕ ⟩ ⟨i|Φﺍﺳﺖ ﮐﻪ Φﺯﻳﺮ ﻣﺠﻤﻮﻋﻪﺍﻱ ﺍﺯ ﻣﻮﻗﻌﻴﺖﻫﺎ ﺍﺳﺖ .ﺩﺭ
ﺍﻳﻦ ﺷﺮﺍﻳﻂ ﺍﮔﺮ ﮐﺎﻧﺪﻳﺪﺍﻱ iﺩﺭ ﻣﮑﺎﻥ )ﻫﺎﻱ( Φﻗﺮﺍﺭ ﮔﻴﺮﺩ ﻣﻲﺑﺎﻳﺴﺖ ﭘﻮﻟﻲ ﭘﺮﺩﺍﺧﺖ ﺷﻮﺩ ﻭ ﺩﺭ ﻏﻴﺮ ﺍﻳﻨﺼﻮﺭﺕ ﻫﻴﭻ
ﭘﻮﻟﻲ ﭘﺮﺩﺍﺧﺖ ﻧﻤﻲﺷﻮﺩ.
ﺩﺭ ﺣﺎﻟﺖ ﺩﻭﻡ ﮐﻪ ﺁﻥ ﺭﺍ ﺑﻪ ﺻﻮﺭﺕ ⟩ │ ⟨Ψﻧﺸﺎﻥ ﻣﻲﺩﻫﺪ ﮐﻪ Ψﺯﻳﺮ ﻣﺠﻤﻮﻋﻪﺍﻱ ﺍﺯ ﮐﺎﻧﺪﻳﺪﻫﺎ ﺍﺳﺖ ﺍﮔﺮ ﻫﺮﮐﺪﺍﻡ ﺍ ﺯ
ﮐﺎﻧﺪﻳﺪﻫﺎﻱ Ψﺩﺭ ﻣﻮﻗﻌﻴﺖ jﻗﺮﺍﺭ ﮔﻴﺮﻧﺪ ﭘﻮﻟﻲ ﭘﺮﺩﺍﺧﺖ ﻣﻲﺷﻮﺩ ﻭ ﺩﺭﻏﻴﺮ ﺍﻳﻨﺼﻮﺭﺕ ﻫﻴﭻ ﭘﻮﻟﻲ ﭘﺮﺩﺍﺧﺖ ﻧﻤﻲﺷﻮﺩ.
ﺑﻪ ﻋﻨﻮﺍﻥ ﻣﺜﺎﻝ ﺩﺭ ﻣﻮﺭﺩ ﺷﺮﻁﺑﻨﺪﻱ ﺍﺳﺐﻫﺎ ﻧﻴﺰ ﺑﻪ ﺩﻭ ﺻﻮﺭﺕ ﻣﻲﺗﻮﺍﻥ ﻋﻤﻞ ﮐﺮﺩ .ﺍﻭﻝ ﺍﻳﻨﮑﻪ ﺍﺳﺐ aﺩﺭ ﻳﮑﻲ ﺍﺯ
ﻣﮑﺎﻥﻫﺎﻱ ﺍﻭﻝ ،ﺳﻮﻡ ﻭ ﻳﺎ ﭘﻨﺠﻢ ﻗﺮﺍﺭ ﻣﻲﮔﻴﺮﺩ ﻭ ﻳﺎ ﺑﻪ ﺻﻮﺭﺗﻲ ﺩﻳﮕﺮ ﻣﺜﻼ ﻳﮑﻲ ﺍﺯ ﺍﺳﺐﻫﺎﻱ bﻳﺎ cﺩﺭ ﺭﺗﺒﻪ ﺩﻭﻡ ﻗﺮﺍﺭ
ﮔﻴﺮﻧﺪ .ﺩﺭ ﺣﺎﻟﺖ ﮐﻠﻲ ﻣﻲﺗﻮﺍﻧﻴﻢ ﻫﺮ ﺩﻭ ﻧﻮﻉ ﺷﺮﻁﺑﻨﺪﻱ ﺭﺍ ﺑﻪ ﺻﻮﺭﺕ > < ﻧﻤﺎﻳﺶ ﺩﻫﻴﻢ .
ﻣﻲﺗﻮﺍﻥ ﻧﺸﺎﻥ ﺩﺍﺩ ﮐﻪ ﺣﺘﻲ ﺩﺭ ﻳﮏ ﺑﺎﺯﺍﺭ ﺳﺎﺩﻩ ﻓﺮﺍﻫﻢ ﺁﻭﺭﺩﻥ ﻗﻴﻤﺖ ﺷﺮﻁﺑﻨﺪﻱﻫﺎ ﺑﻪ ﺻﻮﺭﺕ ﻟﺤﻈﻪﺍﻱ ،ﺍﺭﺯﻳﺎﺑﻲ ﺗﺎﺑﻊ
ﻗﻴﻤﺖ ﻭ ﻳﺎ ﻣﺤﺎﺳﺒﻪﻱ ﭘﺮﺩﺍﺧﺖﻫﺎ ﻣﺴﺌﻠﻪﺍﻱ #P-Hardﺍﺳﺖ ].[٥
۲.۳ﺷﺮﻁﺑﻨﺪﻱ ﺩﻭﺗﺎﻳﻲ
ﺩﺭ ﻣﻘﺎﻳﺴﻪ ﺑﺎ ﺷﺮﻁﺑﻨﺪﻱ ﺯﻳﺮ ﻣﺠﻤﻮﻋﻪﺍﻱ ﮐﻪ ﺩﺭ ﺁﻥ ﺍﻓﺮﺍﺩ ﺑﺮ ﺍﺳﺎﺱ ﻣﻮﻗﻌﻴﺖ ﮐﺎﻧﺪﻳﺪﻫﺎ ﺷﺮﻁﺑﻨﺪﻱ ﻣﻲﮐﺮﺩﻧﺪ ﺩﺭ
ﺷﺰﻁﺑﻨﺪﻱ ﺩﻭﺗﺎﻳﻲ ﺍﻓﺮﺍﺩ ﻣﻲﺗﻮﺍﻧﻨﺪ ﺑﺮﺍﺳﺎﺱ ﻣﻮﻗﻌﻴﺖ ﻳﮏ ﮐﺎﻧﺪﻳﺪﺍ ﻧﺴﺒﺖ ﺑﻪ ﮐﺎﻧﺪﻳﺪﺍﻱ ﺩﻳﮕﺮ)ﻣﻮﻗﻌﻴﺖ ﻧﺴﺒﻲ( ﺷﺮﻁﺑﻨﺪﻱ
ﮐﻨﻨﺪ .ﺑﻪ ﻋﻼﻭﻩ ﺍﻭﺭﺍﻕ ﺷﺮﻁﺑﻨﺪﻱ ﺩﺭ ﻗﺎﻟﺐ 〉 > 〈 ﺧﺮﻳﺪ ﻭ ﻓﺮﻭﺵ ﻣﻲﺷﻮﻧﺪ ﮐﻪ ﺩﺭ ﺁﻥ iﻭ jﮐﺎﻧﺪﻳﺪﺍﻫﺎ ﻫﺴﺘﻨﺪ .ﺩﺭ ﺍﻳﻦ
ﺷﺮﺍﻳﻂ ﺍﮔﺮ ﮐﺎﻧﺪﻳﺪﺍﻱ iﺩﺭ ﻣﮑﺎﻧﻲ ﺑﺎﻻﺗﺮ ﺍﺯ ﮐﺎﻧﺪﻳﺪﺍﻱ jﻗﺮﺍﺭ ﮔﻴﺮﺩ ﻣﻲﺑﺎﻳﺴﺖ ﭘﻮﻝ ﭘﺮﺩﺍﺧﺖ ﺷﻮﺩ ﻭ ﺩﺭ ﻏﻴﺮ ﺍﻳﻦ ﺻﻮﺭﺕ
ﻫﻴﭻ ﭘﻮﻟﻲ ﭘﺮﺩﺍﺧﺖ ﻧﻤﻲﺷﻮﺩ .
Order matching
Logarithmic Market Scoring Rule
14
13
ﺑﻪ ﻋﻨﻮﺍﻥ ﻣﺜﺎﻝ ﻣﻲﺗﻮﺍﻥ ﺑﺮ ﺭﻭﻱ ﻭﻗﺎﻳﻌﻲ ﻧﻈﻴﺮ :ﺍﺳﺐ aﺑﺮ ﺍﺳﺐ bﻏﻠﺒﻪ ﻣﻲﮐﻨﺪ ﻭ ﻣﻴﺰﺍﻥ ﺁﺭﺍﻱ ﮐﺎﻧﺪﻳﺪﺍﻱ aﺍﺯ
ﮐﺎﻧﺪﻳﺪﺍﻱ bﺑﻴﺸﺘﺮ ﺍﺳﺖ ﺷﺮﻁﺑﻨﺪﻱ ﻧﻤﻮﺩ .ﻣﻲﺗﻮﺍﻥ ﻧﺸﺎﻥ ﺩﺍﺩ ﻣﺤﺎﺳﺒﻪ ﻫﻤﺰﻣﺎﻥ ﻗﻴﻤﺖﻫﺎ ﺩﺭ ﻳﮏ ﺑﺎﺯﺍﺭ LMSRﺑﺮﺍﻱ
ﺷﺮﻁﺑﻨﺪﻱ ﺩﻭﺗﺎﻳﻲ ﻧﻴﺰ #P-Hardﺍﺳﺖ.
٣.٣ﺷﺮﻁﺑﻨﺪﻱ ﺻﻔﺮ ﻳﺎ ﻳﮏ
ﺑﻪ ﻋﻨﻮﺍﻥ ﻧﻮﻉ ﺩﻳﮕﺮﻱ ﺍﺯ ﺗﺮﮐﻴﺐﺷﻨﺎﺳﻲ ﻣﻲﺗﻮﺍﻥ ﺑﻪ ﺣﺎﻟﺘﻲ ﺍﺷﺎﺭﻩ ﮐﺮﺩ ﮐﻪ ﺧﺮﻭﺟﻲﻧﻬﺎﻳﻲ ﺗﺮﮐﻴﺒﻲ ﺍﺯ ﻧﺘﺎﻳﺞ ﺭﺧﺪﺍﺩﻫﺎﻱ
ﻣﺘﻔﻮﺕ ﺍﺳﺖ .ﻓﺮﺽ ﮐﻨﻴﺪ Aﻓﻀﺎﻱ ﺭﺧﺪﺍﺩﻫﺎ ﺍﺳﺖ ﻭ ﺷﺎﻣﻞ Nﺭﺧﺪﺍﺩ ﻣﻨﺤﺼﺮ ﺑﻪ ﻓﺮﺩ
ﺭﺧﺪﺍﺩﻫﺎ ﻣﻲﺗﻮﺍﻧﻨﺪ ﺩﻭ ﺑﻪ ﺩﻭ ﻣﺴﺘﻘﻞ ﻭ ﻳﺎ ﻭﺍﺑﺴﺘﻪ ﺑﺎﺷﻨﺪ .ﻓﻀﺎﻱ ﺣﺎﻟﺖ ﻣﻮﺟﻮﺩ ﺭﺍ ﺑﺎ
,…,
ﻣﻲﺑﺎﺷﺪ ﮐﻪ ﺍﻳﻦ
ﻧﺸﺎﻥ ﻣﻲ ﺩﻫﻴﻢ ﻭ ﺍﺯ ﺁﻧﺠﺎﻳﻴﮑﻪ
ﻣﺠﻤﻮﻋﻪ ﺗﻤﺎﻡ ﻧﺘﺎﻳﺞ ﻣﺸﺘﺮﮎ Nﺭﺧﺪﺍﺩ ﻣﻲﺑﺎﺷﺪ ،ﺩﺍﺭﻳﻢ . | | = 2ﺩﺭ ﻳﮏ ﺑﺎﺯﺍﺭ ﺷﺮﻁﺑﻨﺪﻱ ﺻﻔﺮﻭﻳﮏ ﺩﺭ ﺷﺮﺍﻳﻄﻲ ﮐﻪ
ﻓﺮﻣﻮﻝ ﻣﻮﺭﺩ ﻧﻈﺮ ﺑﺮﺁﻭﺭﺩﻩ ﺷﻮﺩ ﻣﻲﺑﺎﻳﺴﺖ ﭘﻮﻟﻲ ﭘﺮﺩﺍﺧﺖ ﺷﻮﺩ ﻭ ﺩﺭ ﻏﻴﺮ ﺍﻳﻨﺼﻮﺭﺕ ﻫﻴﭻ ﭘﻮﻟﻲ ﭘﺮﺩﺍﺧﺖ ﻧﻤﻲﺷﻮﺩ ﮐﻪ
ﺍﻭﺭﺍﻕ ﺷﺮﻁﺑﻨﺪﻱ ﺁﻥ ﺑﻪ ﺻﻮﺭﺕ 〉〈Φﻧﺸ ﺎﻥ ﺩﺍﺩﻩ ﻣﻲﺷﻮﻧﺪ .ﺑﻪ ﻋﻨﻮﺍﻥ ﻣﺜﺎﻝ ﻗﺮﺍﺭﺩﺍﺩ 〉 〈 ⋁Aﺭﺍ ﺩﺭ ﻧﻈﺮ ﺑﮕ ﻴﺮﻳﺪ ،ﺩﺭ ﺍﻳ ﻦ
ﺷﺮﺍﻳﻂ ﺍﮔﺮ ﺣﺪﺍﻗﻞ ﻳﮑﻲ ﺍﺯ ﻭﻗﺎﻳﻊ Aﻳﺎ Aﺍﺗﻔﺎﻕ ﺑﻴﻔﺘﺪ ،ﺳﻮﺩ ﭘﺮﺩﺍﺧﺖ ﻣﻲﺷﻮﺩ.
ﻣﻲﺗﻮﺍﻥ ﻧﺸﺎﻥ ﺩﺍﺩ ﮐﻪ ﺣﺘﻲ ﺩﺭ ﺳﺎﺩﻩﺗﺮﻳﻦ ﺣﺎﻟﺖ )ﺩﺭ ﻧﻈﺮ ﮔﺮﻓﺘﻦ ﺗﺮﮐﻴﺐ ﻭ ﻳﺎ ﻋﺪﻡ ﺗﺮﮐﻴﺐ ﺩﻭ ﺭﺧﺪﺍﺩ( ﻧﻴﺰ ﻣﺤﺎﺳﺒﻪﻱ
ﻗﻴﻤﺖﻫﺎ ﺍﺭﺯﺵ ﺗﺎﺑﻊ ﻫﺰﻳﻨﻪ ﻭ ﭘﺮﺩﺍﺧﺖﻫﺎ ﺩﺭ ﻳﮏ ﺑﺎﺯﺍﺭ ﺷﺮﻁﺑﻨﺪﻱ ﺻﻔﺮﻭﻳﮏ ﺗﻮﺳﻂ ﻣﻮﺳﺲ ﺑﺎﺯﺍﺭ LMSR ١٥ﻫﻤﭽﻨﺎﻥ
ﺍﺯ ﻣﺮﺗﺒﻪ #P-Hardﺍﺳﺖ.
٤ﺯﻣﻴﻨﻪﻫﺎﻱ ﮐﺎﺭﻱ ﺑﺎﺯﺍﺭﻫﺎﻱ ﭘﻴﺸﮕﻮ
ﺩﺭ ﺣﺎﻟﺖ ﮐﻠﻲ ،ﺯﻣﻴﻨﻪﻫﺎﻱ ﻋﻼﻗﻪﻣﻨﺪﻱ ﺩﺭ ﺑﺎﺯﺍﺭﻫﺎﻱ ﭘﻴﺸﮕﻮ ﺭﺍ ﻣﻲﺗﻮﺍﻥ ﺩﺭ ﺳﻪ ﺩﺳﺘﻪ ﻋﻤﺪﻩ ﻃﺒﻘﻪﺑﻨﺪﻱ ﻧﻤﻮﺩ ﮐﻪ ﻋﺒﺎﺭﺗﻨﺪ
ﺍﺯ ﭘﻴﺸﮕﻮﻳﻲ ،ﺗﺼﻤﻴﻢﮔﻴﺮﻱ ﻭ ﻣﺪﻳﺮﻳﺖ ﺭﻳﺴﮏ .ﻣﻬﻤﺘﺮﻳﻦ ﺳﻮﺍﻟﻲ ﮐﻪ ﻣﻲﺗﻮﺍﻥ ﺩﺭ ﻣﻮﺭﺩ ﺑﺎﺯﺍﺭﻫﺎﻱ ﭘﻴﺸﮕﻮ ﻣﻄﺮﺡ ﻧﻤﻮﺩ ﺍﻳﻦ
ﺍﺳﺖ ﮐﻪ ﭼﮕﻮﻧﻪ ﺁﻥﻫﺎ ﻣﻲﺗﻮﺍﻧﻨﺪ ﺍﻧﺘﻈﺎﺭﺍﺕ ﺯﻳﺎﺩﻱ ﺭﺍ ﮐﻪ ﺩﺭ ﻣﻮﺭﺩ ﺁﻥﻫﺎ ﻭﺟﻮﺩ ﺩﺍﺭﺩ ﺑﺮﺁﻭﺭﺩﻩ ﻧﻤﺎﻳﻨﺪ .ﺩﺭ ﺍﻳﻦ ﺭﺍﺳﺘﺎ،
ﻣﻮﺍﺭﺩﻱ ﺭﺍ ﮐﻪ ﻫﻤﻮﺍﺭﻩ ﺑﻪ ﻋﻨﻮﺍﻥ ﻣﻄﺎﻟﺐ ﻣﻬﻢ ﻭ ﻗﺎﺑﻞ ﺑﺮﺭﺳﻲ ﺩﺭ ﺍﻳﻦ ﺣﻮﺯﻩ ﺑﻪ ﺷﻤﺎﺭ ﻣﻲﺁﻳﻨﺪ ﻣﻲﺗﻮﺍﻥ ﺩﺭ ﭘﻨﺞ ﺩﺳﺘﻪ ﮐﻠﻲ
ﻃﺒﻘﻪﺑﻨﺪﻱ ﻧﻤﻮﺩ ] [١ﮐﻪ ﻋﺒﺎﺭﺗﻨﺪ ﺍﺯ:
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ﭼﮕﻮﻧﻪ ﻣﻲﺗﻮﺍﻥ ﺳﻔﺎﺭﺷﺎﺕ ﺍﻓﺮﺍﺩ ﻏﻴﺮﻣﻄﻠﻊ ﺭﺍ ﺟﺬﺏ ﮐﺮﺩ؟ ﻣﺸﮑﻞ ﺍﺻﻠﻲ ﺩﺭ ﺑﻴﺸﺘﺮ ﺑﺎﺯﺍﺭﻫﺎﻱ ﭘﻴﺸﮕﻮ
ﺟﺬﺏ ﮐﺎﻓ ﻲ ﺳﻔﺎﺭﺷﺎﺕ ﺍﻓﺮﺍﺩ ﻏﻴﺮﻣﻄﻠﻊ ﺍﺳﺖ .ﺑﺎﺯﺍﺭﻫﺎﻱ ﭘﻴﺸﮕﻮ ﺑﺮﺍﻱ ﺩﺍﺩﻥ ﻧﺘ ﻴﺠﻪﻱ ﺩﺭﺳﺖ ﻧﻴﺎﺯ ﺑﻪ ﺑﺎﻭﺭ
ﺍﻓﺮﺍﺩ ﻏﻴﺮﻣﻄﻠﻊ ﺩﺍﺭﻧﺪ .ﺗﻨﻬﺎ ﺑﺎ ﺗﮑﻴﻪ ﺑﻪ ﻧﻈﺮﺍﺕ ﺍﻓﺮﺍﺩ ﻣﻄﻠﻊ ﻧﻤﻲﺗﻮﺍﻥ ﭘﻴﺶﺑ ﻴﻨﻲ ﺩﺭﺳﺘﻲ ﺍﺯ ﻭﺿﻌﻴﺖ ﺑﺎﺯﺍﺭ ﺑﻪ
ﺩﺳﺖ ﺁﻭﺭﺩ .ﺑﺮﺍﻱ ﺟﺬﺏ ﺳﻔﺎﺭﺷﺎﺕ ﺍﻓﺮﺍﺩ ﻧﺎﻣﻄﻠﻊ ﻣﻲﺗﻮﺍﻥ ﺍﺯ ﺍﻧﮕﻴﺰﻩﻫﺎﻳﻲ ﻣﺎﻧﻨﺪ ﺳﺮﮔﺮﻣﻲ ﻳﺎ ﺍﻳﺠﺎﺩ ﺍﻋﺘﻤﺎﺩ
ﺑﻴﺸﺘﺮ ﺍﺳﺘﻔﺎﺩﻩ ﻧﻤﻮﺩ ﺍﻣﺎ ﺍﻳﻦ ﺭﻭﺵﻫﺎ ﺍﮐﺜﺮﺍ ﻏﻴﺮ ﺍﻗﺘﺼﺎﺩﻱ ﻫﺴﺘﻨﺪ.
Market maker
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ﭼﮕﻮﻧﻪ ﻣﻲﺗﻮﺍﻥ ﻋﻼﻗﻪﻣﻨﺪﻱ ﺍﻳﺠﺎﺩ ﺷﺪﻩ ﺭﺍ ﺑﻪ ﻗﺎﻟﺐ ﻗﺮﺍﺭﺩﺍﺩ ﺩﺭ ﺁﻭﺭﺩ؟ ﻳﮑﻲ ﺍﺯ ﻣﺸﮑﻼﺕ ﺍﺳﺎﺳﻲ ﺩﺭ
ﻃﺮﺍﺣ ﻲ ﻣﮑﺎﻧﻴﺰﻡ ﺩﺭ ﺑﺎﺯﺍﺭﻫﺎﻱ ﭘﻴﺸﮕﻮ ﺍﻳﻦ ﺍﺳﺖ ﮐﻪ ﺍﮐﺜﺮﺍ ﻧﻤﻲﺗﻮﺍﻥ ﻋﻼﺋﻖ ﺍﻓﺮﺍﺩ ﺭﺍ ﺑﻪ ﺻﻮﺭﺕ ﻗﺮﺍﺭﺩﺍﺩ
ﻧﻮﺷﺖ .ﺩﺭ ﺑﺴﻴﺎﺭﻱ ﺍﺯ ﻣﻮﺍﺭﺩ ﻧﻤﻲﺗﻮﺍﻥ ﻋﻼﺋﻖ ﺭﺍ ﺑﺮ ﺍﺳﺎﺱ ﻣﻌﻴﺎﺭﻫﺎﻳﻲ ﺑﺮﺍﻱ ﺛﺒﺖ ﺩﺭ ﻗﺮﺍﺭﺩﺍﺩ ﺩﺭﺁﻭﺭﺩ ﻭ ﺍﻳﻦ
ﺍﻣﺮ ﻣﺸﮑﻼﺗﻲ ﺩﺭ ﭘﻲ ﺩﺍﺭﺩ.
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ﭼﮕﻮﻧﻪ ﻣﻲﺗﻮﺍﻥ ﺩﺳﺘﮑﺎﺭﻱﻫﺎ ﺭﺍ ﻣﺤﺪﻭﺩ ﮐﺮﺩ؟ ﺍﻳﻦ ﻧﮕﺮﺍﻧﻲ ﺩﺭ ﺑﺎﺯﺍﺭﻫﺎﻱ ﭘﻴﺸﮕﻮ ﻭﺟﻮﺩ ﺩﺍﺭﺩ ﮐﻪ ﻗﻴﻤﺖﻫﺎ
ﺑﻪ ﻃﻮﺭ ﻋﻤﺪﻱ ﺩﺳﺘﮑﺎﺭﻱ ﺷﻮﻧﺪ ﻭ ﺍﻳﻦ ﺍﻣﺮ ﺩﺭ ﺷﺮﺍﻳﻄﻲ ﮐﻪ ﺑﺎ ﻗﻴﻤﺖﻫﺎﻱ ﺳﻨﮕﻴﻦ ﺳﺮ ﻭ ﮐﺎﺭ ﺩﺍﺭﻳﻢ ﺑﻴﺸﺘﺮ
ﻧﮕﺮﺍﻥ ﮐﻨﻨﺪﻩ ﺍﺳﺖ.
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ﺁﻳﺎ ﺑﺎﺯﺍﺭﻫﺎ ﺗﻮﺍﻧﺎﻳﻲ ﻣﺪﻳﺮ ﻳﺖ ﺩﺭ ﺍﺗﻔﺎﻗﺎﺗﻲ ﺑﺎ ﺍﺣﺘﻤﺎﻝ ﺭﺧﺪﺍﺩ ﮐﻢ ﺭﺍ ﺩﺍﺭﻧﺪ؟ ﺩﺭ ﺑﺴﻴﺎﺭﻱ ﺍﺯ ﻣﻮﺍﺭﺩ
ﺑﺎﺯﺍﺭﻫﺎﻱ ﭘﻴﺸﮕﻮﻳﻲ ﺑﺎ ﻭﻗﺎﻳﻌﻲ ﺳﺮ ﻭ ﮐﺎﺭ ﺩﺍﺭﻧﺪ ﮐﻪ ﺍﺣﺘﻤﺎﻝ ﺭﻭﻱﺩﺍﺩﻥ ﮐﻤﻲ ﺩﺍﺭﻧﺪ .ﺩﺭ ﻋﻤﻞ ﻣﺸﺎﻫﺪﻩ ﺷﺪﻩ
ﺍﺳﺖ ﮐﻪ ﺍﻓﺮﺍﺩ ﺩﺭ ﺗﺸﺨﻴﺺ ﺑﻴﻦ ﺍﺣﺘﻤﺎﻻﺕ ﮐﻢ ﺑﺎ ﺍﺣﺘﻤﺎﻻﺕ ﻧﺎﭼﻴﺰ ﺿﻌﻴﻒ ﻫﺴﺘﻨﺪ ﻭ ﺍﻳﻦ ﺍﻣﺮ ﻣﻤﮑﻦ ﺍﺳﺖ
ﻗﻴﻤﺖ ﺑﺎﺯﺍﺭ ﺭﺍ ﺗﺤﺖ ﺗﺎﺛﻴﺮ ﻗﺮﺍﺭ ﺩﻫﺪ.
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ﭼﮕﻮﻧﻪ ﻣﻲﺗﻮﺍﻥ ﺑﻴﻦ ﺍﺭﺗﺒﺎﻁ ١٦ﻭ ﺳﺒﺐ ١٧ﺗﻤﺎﻳﺰ ﻗﺎﺋﻞ ﺷﺪ؟ ﺑﻌﻀﻲ ﺍﺯ ﺑﺎﺯﺍﺭﻫﺎ ﺍﺟﺎﺯﻩ ﻣﻲﺩﻫﻨﺪ ﮐﻪ ﺍﺣﺘﻤﺎﻝ
ﻭﻗﻮﻉ ﻳﮏ ﭘ ﻴﺸﺎﻣﺪ ﻣﺸﺮﻭﻁ ﺑﺮ ﻭﻗﻮﻉ ﭘ ﻴﺸﺎﻣﺪ ﺩﻳﮕﺮﻱ ﺭﺍ ﺗﺨﻤﻴﻦ ﺯﺩ .ﺍﻳﻦ ﺑﺎﺯﺍﺭﻫﺎ ﺩﻳﺪﻱ ﺩﺭ ﻣﻮﺭﺩ ﺭﺍﺑﻄﻪﻱ
ﺍﻳﻦ ﺭﺧﺪﺍﺩﻫﺎ ﺭﺍ ﻣﻲﺩﻫﻨﺪ .ﺑﺎ ﺍﻳﻦ ﻭﺟﻮﺩ ﻣﺸﺨﺺ ﮐﺮﺩﻥ ﺍﻳﻨﮑﻪ ﻳﮏ ﺭﻭﻳﺪﺍﺩ ﺳﺒﺐ ﺗﻐﻴﻴﺮ ﺍﺣﺘﻤﺎﻝ ﭘ ﻴﺸﺎﻣﺪ
ﺩﻳﮕﺮ ﻣﻲﺷﻮﺩ ،ﺳﻮﺍﻝ ﻣﻬﻤﺘﺮﻱ ﺍﺳﺖ .
ﺑﻪ ﻣﻨﻈﻮﺭ ﺍﺭﺍﺋﻪ ﭼﺎﺭﭼﻮﺑﻲ ﺑﺮﺍﻱ ﺍﻧﺪﻳﺸﻴﺪﻥ ﺑﻪ ﺍﻳﻦ ﺳﻮﺍﻻﺕ ،ﻣﻲﺗﻮﺍﻥ ﻣﺪﻟﻲ ﺳﺎﺩﻩ ﺍﺭﺍﺋﻪ ﻧﻤﻮﺩ ] .[٦ﺩﺭ ﺍﻳﻦ ﻣﺪﻝ ،ﺳﻪ
ﻧﻮﻉ ﻋﺎﻣﻞ ١٨ﺭﺍ ﻣﻲﺗﻮﺍﻥ ﺍﺯ ﻫﻢ ﻣﺘﻤﺎﻳﺰ ﺳﺎﺧﺖ :ﺍﻓﺮﺍﺩ ﮐﺎﻣﻼ ﻣﻄﻠﻊ ،ﺍﻓﺮﺍﺩ ﻏﻴﺮ ﻣﻄﻠﻊ ﻭ ﻣﻮﺳﺴﻴﻦ ﺑﺎﺯﺍﺭ ﮐﺎﻣﻼ ﺧﺒﺮﻩ.
ﺑﻪﻋﻼﻭﻩ ،ﻣﺒﺎﺩﻻﺕ ﺩﺭ ﻳﮏ ﺑﺎﺯﺍﺭ ﭘﻴﺸﮕﻮﻳﻲ ﺩﻭﺩﻭﻳﻲ )ﺻﻔﺮ ﻭ ﻳﮏ( ﺍﻧﺠﺎﻡ ﻣﻲﺷﻮﻧﺪ .ﺍﺣﺘﻤﺎﻝ ﺭﺧﺪﺍﺩ ﻳﮏ ﻭﺍﻗﻌﻪ ﺭﺍ ﺑﺎ q
ﻧﻤﺎﻳﺶ ﻣﻲﺩﻫﻴﻢ؛ ﺍﻳﻦ ﺍﺣﺘﻤﺎﻝ ﺗﻮﺳﻂ ﻣﻮﺳﺴﻴﻦ ﺑﺎﺯﺍﺭ ﻣﺸﺎﻫﺪﻩ ﺷﺪﻩ ﺍﺳﺖ .ﺍﻓﺮﺍﺩ ﮐﺎﻣﻼ ﻣﻄﻠﻊ ،ﺍﻃﻼﻋﺎﺕ ﻋﻤﻴﻘﻲ ﺩﺍﺭﻧﺪ ﻭ
ﻣﻲﺩﺍﻧﻨﺪ ﮐﻪ ﺁﻳﺎ ﻭﺍﻗﻌﻪ ﺭﺥ ﻣﻲﺩﻫﺪ ﻳﺎ ﺧﻴﺮ .ﺍﻧﺘﻈﺎﺭ ﺫﻫﻨﻲ ﺍﻓﺮﺍﺩ ﻏﻴﺮ ﻣﻄﻠﻊ ﺍﺯ ﻭﺍﻗﻌﻪ ،ﺑﺮﺍﺑﺮ ﺑﺎ ﺍﺣﺘﻤﺎﻝ ﺭﺧﺪﺍﺩ ﻭﺍﻗﻌﻪ ﺍﺳﺖ،q ،
ﺑﻪﻋﻼﻭﻩ ﻣﻘﺪﺍﺭﻱ ﻧﻮﻳﺰ .η
ﻣﻮﻗﻌﻴﺖ ﺍﻓﺮﺍﺩ ﻣﺮﺗﺒﻂ ﺭﺍ ﻣﻲﺗﻮﺍﻥ ﺑﺎ ﺍﺳﺘﻔﺎﺩﻩ ﺍﺯ ﺭﺍﺑﻄﻪ ﺯﻳﺮ ﺑﺪﺳﺖ ﺁﻭﺭﺩ:
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ﮐﻪ ﺩﺭ ﺁﻥ w ،ﻣﻴﺰﺍﻥ ﺛﺮﻭﺕ ﺁﻥﻫﺎ p ،ﻗﻴﻤﺖ ﻭﺭﻕ ﺑﻬﺎﺩﺍﺭ ﻭ eﺍﻧﺘﻈﺎﺭ ﺫﻫﻨﻲ ﺍﺯ ﺭﺧﺪﺍﺩ ﻭﺍﻗﻌﻪ ﺍﺳﺖ.
ﺩﺭ ﺣﺎﻟﺖ ﮐﻠﻲ ﻣﻲﺗﻮﺍﻥ ﮔﻔﺖ ﮐﻪ ﺍﻓﺮﺍﺩ ﻣﺮﺗﺒﻂ ﺑﺮ ﺍﺳﺎﺱ ﻣﺠﻤﻮﻉ ﺍﺣﺘﻤﺎﻝ ﺫﻫﻨﻲ ) ،(qﺧﻄﺎﻱ ﺍﻧﺘﻈﺎﺭﺍﺕ )، (η
ﺍﻧﮕﻴﺰﻩﻫﺎﻱ ﺷﺮﻁﺑﻨﺪﻱ ﻭ ﺟﺎﺑﻪﺟﺎﻳﻲ ﺍﺭﻗﺎﻡ ،(g) ١٩ﻭ ﺍﻧﮕﻴﺰﻩ ﺩﺍﺩﻭﺳﺘﺪ ﺗﺎﻣﻴﻨﻲ (H) ٢٠ﺑﻪ ﺍﻧﺠﺎﻡ ﻣﺒﺎﺩﻻﺕ ﺧﻮﺩ ﻣﻲﭘﺮﺩﺍﺯﻧﺪ.
ﺑﺎ ﺍﺳﺘﻔﺎﺩﻩ ﺍﺯ ﺍﻳ ﻦ ﭼﺎﺭﭼﻮﺏ ﻣﻲﺗﻮﺍﻥ ﻧﺸﺎﻥ ﺩﺍﺩ ﮐﻪ ﺍﻓﺮﺍﺩ ﻣﺨﺘﻠﻒ ﺩﺭ ﭼﻪ ﺷﺮﺍﻳﻄﻲ ﺑﻪ ﺗﺠﺎﺭﺕ ﻣﻲﭘﺮﺩﺍﺯﻧﺪ .ﻣﺜﻼ ﻳﮏ ﻓﺮﺩ
ﻧﺎﻣﻄﻠﻊ ﺯﻣﺎﻧﻲ ﺑﻪ ﺍﻧﺠﺎﻡ ﺗﺠﺎﺭﺕ ﻣﻲ ﭘﺮﺩﺍﺯﺩ ﮐﻪ . = + η + g
16
Correlation
Causation
18
Agent
19
Manipulation
20
Hedge
17
ﺑﺎ ﺩﺭ ﻧﻈﺮ ﮔﺮﻓﺘﻦ ﭘﻨﺞ ﻣﻮﺭﺩ ﻣﻄﺮﺡ ﺷﺪﻩ ﻭ ﺗﻮﺟﻪ ﺑﻪ ﻣﺪﻝ ﺍﺭﺍﺋﻪ ﺷﺪﻩ ،ﻣﻲﺗﻮﺍﻥ ﺩﺭﻳﺎﻓﺖ ﮐﻪ ﻣﻮﺭﺩ ﺍﻭﻝ ﺑﻴﺸﺘﺮ ﺍﺯ ﺁﻧﮑﻪ ﺑﻪ
ﻋﻠﻢ ﺍﻗﺘﺼﺎﺩ ﺗﻮﺟﻪ ﺩﺍﺷﺘﻪ ﺑﺎﺷﺪ ،ﺑﻪ ﺑﺎﺯﺍﺭﻳﺎﺑﻲ ﺑﺴﺘﮕﻲ ﺩﺍﺭﺩ .ﺍﻳﻦ ﻣﻮﺭﺩ ﺍﺯ ﺁﻧﺠﺎﻳﻲ ﺍﺯ ﺍﻫﻤﻴﺖ ﺑﺮﺧﻮﺭﺩﺍﺭ ﺍﺳﺖ ﮐﻪ ﺟﺬﺏ
ﺗﻘﺎﺿﺎﻫﺎﻱ ﺍﻓﺮﺍﺩ ﻏﻴﺮﻣﻄﻠﻊ ،ﺳﺒﺐ ﺑﺮﺍﻧﮕﻴﺨﺘﻦ ﺍﻧﮕﻴﺰﻩ ﺍﻓﺮﺍﺩ ﻭ ﮔﺮﻭﻩﻫﺎﻱ ﻣﻄﻠﻊ ﺑﺮﺍﻱ ﺍﻧﺠﺎﻡ ﻣﺒﺎﺩﻻﺕ ﻣﻲﺷﻮﺩ .ﺩﻭﻣﻴﻦ ﻣﻮﺭﺩ
ﺑﻪ ﻗﺮﺍﺭﺩﺍﺩﻫﺎ ﻣﻲﭘﺮﺩﺍﺯﺩ ﻭ ﺑﻬﺘﺮ ﺍﺳﺖ ﮐﻪ ﻃﺮﺍﺣﺎﻥ ﺑﺎﺯﺍﺭ ﺑﻪ ﺩﺭﺱﻫﺎﻱ ﺁﻣﻮﺧﺘﻪ ﺷﺪﻩ ﺗﻮﺟﻪ ﺩﺍﺷﺘﻪ ﺑﺎﺷﻨﺪ .ﺩﺭ ﺣﺎﻟﺖ ﺳﻮﻡ ،ﺑﺎ
ﻗﺮﺍﺭ ﺩﺍﺩﻥ ﻣﺤﺪﻭﺩﻳﺖﻫﺎﻱ ﺑﺮﺍﻱ ﺷﺮﮐﺖ ﮐﻨﻨﺪﮔﺎﻥ ،ﺑﺎﺯﺍﺭ ﭘﻴﺶﮔﻮﻳﻲ ﺗﺒﺪﻳﻞ ﺑﻪ ﺭﺃﻱﮔﻴﺮﻱ ﻣﻲﺷﻮﺩ ﻭ ﺑﺎ ﺑﺮﺩﺍﺷﺘﻦ ﺍﻳﻦ
ﻣﺤﺪﻭﺩﻳﺖ ،ﺗﺒﺪﻳﻞ ﺑﻪ ﻳﮏ ﻣﺰﺍﻳﺪﻩ ﻣﻲﺷﻮﺩ ﻭ ﻧﮕﺮﺍﻧﻲ ﺩﺭ ﻣﻮﺭﺩ ﺩﺳﺘﮑﺎﺭﻱ ﺭﺍ ﻣﻲﺗﻮﺍﻥ ﮐﺎﻫﺶ ﺩﺍﺩ .ﺩﺭﻣﻮﺭﺩ ﭼﻬﺎﺭﻡ
ﺭﻭﺍﻧﺸﻨﺎﺳﺎﻥ ﻭ ﺷﺮﮐﺖﻫﺎﻱ ﺑﻴﻤﻪ ﺑﻪ ﺧﻮﺑﻲ ﻣﻲﺩﺍﻧﻨﺪ ﮐﻪ ﺑﺮﺧﻲ ﺍﺯ ﺍﻓﺮﺍﺩﻱ ﮐﻪ ﺑﺎ ﺁﻥﻫﺎ ﻣﺮﺗﺒﻂ ﻫﺴﺘﻨﺪ ،ﺩﺭ ﻣﻮﺭﺩ ﺗﺨﻤﻴﻦ ﻭ
ﺍﺭﺯﻳﺎﺑﻲ ﺍﺣﺘﻤﺎﻻﺕ ﺟﺰﺋﻲ ﺑﻪ ﺩﺭﺳﺘﻲ ﻋﻤﻞ ﻧﻤﻲﮐﻨﻨﺪ ﻭ ﺑﺮﺧﻲ ﺍﺯ ﻣﺸﮑﻼﺕ ﺁﻥﻫﺎ ﺑﺎﻋﺚ ﺗﺎﺛﻴﺮ ﺑﺮ ﺑﻬﺎﻱ ﺑﺎﺯﺍﺭ ﭘﻴﺶﮔﻮﻳﻲ
ﻣﻲﺷﻮﻧﺪ .ﺩﺭ ﻧﻬﺎﻳﺖ ﻣﻲﺗﻮﺍﻥ ﮔﻔﺖ ﮐﻪ ﺗﻤﺎﻳﺰ ﺑﻴﻦ ﺳﺒﺐ ﻭ ﺭﺍﺑﻄﻪ ﺑﺴﻴﺎﺭ ﻣﺸﮑﻞ ﺍﺳﺖ ﻭﻟﻲ ﺍﻳﻦ ﺍﻣﺮ ﺩﺭ ﺑﺎﺯﺍﺭ ﭘﻴﺶﮔﻮﻳﻲ ﺍﺯ
ﺍﻫﻤﻴﺖ ﺑﺴﺰﺍﻳﻲ ﺑﺮﺧﻮﺭﺩﺍﺭ ﺍﺳﺖ.
٥ﻧﺘﻴﺠﻪﮔﻴﺮﻱ
ﺩﺭ ﺍﻳﻦ ﻣﻘﺎﻟﻪ ﻣﺮﻭﺭﻱ ،ﺍﺑﺘﺪﺍ ﺑﻪ ﻣﻔﺎﻫﻴﻢ ﭘﺎﻳﻪ ﺩﺭ ﺯﻣﻴﻨﻪ ﺑﺎﺯﺍﺭﻫﺎﻱ ﭘﻴﺸﮕﻮ ﭘﺮﺩﺍﺧﺘﻪ ﻭ ﻟﺰﻭﻡ ﺑﮑﺎﺭﮔﻴﺮﻱ ﺁﻥﻫﺎ ﺭﺍ ﺩﺭ ﺣﻮﺯﻩﻫﺎﻱ
ﮐﺎﺭﻱ ﻣﺨﺘﻠﻒ ﺑﻴﺎﻥ ﮐﺮﺩﻳﻢ .ﺩﺭ ﺍﺩﺍﻣﻪ ﺿﻤﻦ ﺑﻴﺎﻥ ﻃﺒﻘﻪﺑﻨﺪﻱﻫﺎﻱ ﻣﺨﺘﻠﻒ ﻣﻮﺟﻮﺩ ﺩﺭ ﺍﻳﻦ ﺯﻣﻴﻨﻪ ﺑﻪ ﭼﻨﺪ ﻧﻤﻮﻧﻪ ﺍﺯ
ﮐﺎﺭﺑﺮﺩﻫﺎﻱ ﻣﺘﻨﻮﻉ ﺑﺎﺯﺍﺭﻫﺎﻱ ﭘﻴﺸﮕﻮ ﭘﺮﺩﺍﺧﺘﻪ ﺷﺪ .ﭘﺲ ﺍﺯ ﺁﻥ ﺑﻪ ﺗﺤﻘﻴﻘﺎﺗﻲ ﮐﻪ ﺑﺮﺍﻱ ﺗﻌﻴﻴﻦ ﻗﻴﻤﺖ ﺗﻌﺎﺩﻟﻲ ﺑﺎﺯﺍﺭﻫﺎﻱ ﭘﻴﺸﮕﻮ
ﺍﻧﺠﺎﻡ ﺷﺪﻩ ،ﺍﺷﺎﺭﻩ ﺷﺪ ﻭ ﻣﺸﺨﺺ ﮔﺮﺩﻳﺪ ﮐﻪ ﺑﺎ ﺩﺭ ﻧﻈﺮ ﮔﺮﻓﺘﻦ ﺷﺮﺍﻳﻄﻲ ﺩﺭ ﺍﻳﻦ ﺑﺎﺯﺍﺭﻫﺎ ﻗﻴﻤﺖ ﺗﻌﺎﺩﻟﻲ ﺑﺮﺍﺑﺮ ﻣﻴﺎﻧﮕﻴﻦ
ﻧﻈﺮﺍﺕ ﺍﻓﺮﺍﺩ ﺍﺳﺖ .ﭘﺲ ﺍﺯ ﺁﻥ ﺑﻪ ﻣﮑﺎﻧﻴﺰﻡﻫﺎﻱ ﻃﺮﺍﺣﻲ ﺍﻳﻦ ﺑﺎﺯﺍﺭﻫﺎ ﭘﺮﺩﺍﺧﺘﻪ ﺷﺪﻩ ﻭ ﻣﺸﺨﺺ ﮔﺮﺩﻳﺪ ﮐﻪ ﺍﻧﺘﺨﺎﺏ
ﭘﻴﺸﻨﻬﺎﺩﻫﺎ ﺑﺮﺍﻱ ﺻﺎﺣﺐ ﺑﺎﺯﺍﺭ ﺩﺭ ﺷﺮﺍﻳﻂ ﮔﻔﺘﻪ ﺷﺪﻩ ﮐﺎﺭﻱ ﺳﺨﺖ ﺍﺳﺖ .ﺩﺭ ﺍﻧﺘﻬﺎ ﻧ ﻴﺰ ﺑﻪ ﺑﻴﺎﻥ ﺗﻌﺪﺍﺩﻱ ﺍﺯ ﺳﻮﺍﻻﺕ ﺍﺳﺎﺳ ﻲ
ﭘﻴﺶﺭﻭ ﺩﺭ ﺑﺎﺯﺍﺭﻫﺎﻱ ﭘ ﻴﺸﮕﻮ ﭘﺮﺩﺍﺧﺘﻴﻢ.
٥ﻣﻨﺎﺑﻊ
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mimeo University of Arizona.
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