A Formal Framework And Fundamental Results for Social Analysis
A Formal Framework And Fundamental Results for Social Analysis
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In our eReader you can find the full English version of the book. Read A Formal Framework And Fundamental Results for Social Analysis Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book A Formal Framework And Fundamental Results for Social Analysis
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COR . Any (collective) reaction is non-empty.
Proof : Let p be any social state, let q-^ = I (p (p)), and let the subset Q of P be defined by Q = {q| q = q. * qj}, (q. M P _. ) .
Q is bounded, since P is bounded. Since P. Is closed, so is Q closed. Thus, Q is compact. Hence, the continuous (real-valued) function U, attains a maximum on Q. Thus, Y (p) = {rl U(r) - Max U(q) } 5« (2, (j in N), J qeQ Y„(p) i 0, by definition. Hence, also Y(p) i 0, 12 14. DEF . Let Y(p) be the collective reaction of... N to the social state p, and let y = (r-, ... , r ) denote the generic element of Y(p) . A social state z such that (Po(^)> •••. Pn(z)) = y Is called an elementary manifestation of y, and the Z(y) of all such is called the manifestation of y. The set Z(Y(p)), Z(Y(p)) = M Z(y) yeY(p) of all elementary manifestations of elementary collective reactions y in Y(p) is called the manifestation of Y(p) .
15. DEF. A correspondence S, p S: P > 2, such that S(p) = Z(Y(p)), is called a social evolution .
What to read after A Formal Framework And Fundamental Results for Social Analysis?
You can find similar books in the "Read Also" column, or choose other free books by Murat R Sertel to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
COR . Any (collective) reaction is non-empty.
Proof : Let p be any social state, let q-^ = I (p (p)), and let the subset Q of P be defined by Q = {q| q = q. * qj}, (q. M P _. ) .
Q is bounded, since P is bounded. Since P. Is closed, so is Q closed. Thus, Q is compact. Hence, the continuous (real-valued) function U, attains a maximum on Q. Thus, Y (p) = {rl U(r) - Max U(q) } 5« (2, (j in N), J qeQ Y„(p) i 0, by definition. Hence, also Y(p) i 0, 12 14. DEF . Let Y(p) be the collective reaction of... N to the social state p, and let y = (r-, ... , r ) denote the generic element of Y(p) . A social state z such that (Po(^)> •••. Pn(z)) = y Is called an elementary manifestation of y, and the Z(y) of all such is called the manifestation of y. The set Z(Y(p)), Z(Y(p)) = M Z(y) yeY(p) of all elementary manifestations of elementary collective reactions y in Y(p) is called the manifestation of Y(p) .
15. DEF. A correspondence S, p S: P > 2, such that S(p) = Z(Y(p)), is called a social evolution .
What to read after A Formal Framework And Fundamental Results for Social Analysis?
You can find similar books in the "Read Also" column, or choose other free books by Murat R Sertel to read onlineMoreLess
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