{"id":27126,"date":"2024-02-29T04:19:20","date_gmt":"2024-02-29T05:19:20","guid":{"rendered":"https:\/\/express24.ir\/d\/product\/%d9%85%d9%82%d8%a7%d9%84%d9%87-%d8%aa%d8%b9%d8%a7%d8%af%d9%84-%d8%aa%d8%b9%d8%a7%d8%af%d9%84-%db%8c%da%a9-%d8%b1%d9%88%db%8c%da%a9%d8%b1%d8%af-%d8%b3%db%8c%d8%b3%d8%aa%d9%85%d8%a7%d8%aa%db%8c%da%a9\/"},"modified":"2024-02-29T04:19:20","modified_gmt":"2024-02-29T05:19:20","slug":"%d9%85%d9%82%d8%a7%d9%84%d9%87-%d8%aa%d8%b9%d8%a7%d8%af%d9%84-%d8%aa%d8%b9%d8%a7%d8%af%d9%84-%db%8c%da%a9-%d8%b1%d9%88%db%8c%da%a9%d8%b1%d8%af-%d8%b3%db%8c%d8%b3%d8%aa%d9%85%d8%a7%d8%aa%db%8c%da%a9","status":"publish","type":"product","link":"https:\/\/express24.ir\/d\/product\/%d9%85%d9%82%d8%a7%d9%84%d9%87-%d8%aa%d8%b9%d8%a7%d8%af%d9%84-%d8%aa%d8%b9%d8%a7%d8%af%d9%84-%db%8c%da%a9-%d8%b1%d9%88%db%8c%da%a9%d8%b1%d8%af-%d8%b3%db%8c%d8%b3%d8%aa%d9%85%d8%a7%d8%aa%db%8c%da%a9\/","title":{"rendered":"\u0645\u0642\u0627\u0644\u0647 \u062a\u0639\u0627\u062f\u0644 \u062a\u0639\u0627\u062f\u0644: \u06cc\u06a9 \u0631\u0648\u06cc\u06a9\u0631\u062f \u0633\u06cc\u0633\u062a\u0645\u0627\u062a\u06cc\u06a9 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0647\u0645\u0648\u062a\u0648\u067e\u06cc \u0647\u0627 \u060c \u0628\u0627 \u06a9\u0627\u0631\u0628\u0631\u062f\u06cc \u062f\u0631 \u0634\u06cc\u06a9\u0627\u06af\u0648"},"content":{"rendered":"\n\n\n\n\n\n\n\n\n\n\n
\u0639\u0646\u0648\u0627\u0646 \u0645\u0642\u0627\u0644\u0647 \u0628\u0647 \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc <\/td>\nEquilibrium Multiplicity: A Systematic Approach using Homotopies, with an Application to Chicago<\/td>\n<\/tr>\n
\u0639\u0646\u0648\u0627\u0646 \u0645\u0642\u0627\u0644\u0647 \u0628\u0647 \u0641\u0627\u0631\u0633\u06cc <\/td>\n\u0645\u0642\u0627\u0644\u0647 \u062a\u0639\u0627\u062f\u0644 \u062a\u0639\u0627\u062f\u0644: \u06cc\u06a9 \u0631\u0648\u06cc\u06a9\u0631\u062f \u0633\u06cc\u0633\u062a\u0645\u0627\u062a\u06cc\u06a9 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0647\u0645\u0648\u062a\u0648\u067e\u06cc \u0647\u0627 \u060c \u0628\u0627 \u06a9\u0627\u0631\u0628\u0631\u062f\u06cc \u062f\u0631 \u0634\u06cc\u06a9\u0627\u06af\u0648<\/td>\n<\/tr>\n
\u0646\u0648\u06cc\u0633\u0646\u062f\u06af\u0627\u0646 <\/td>\nAmine C-L. Ouazad<\/td>\n<\/tr>\n
\u0632\u0628\u0627\u0646 \u0645\u0642\u0627\u0644\u0647 <\/td>\n\u0627\u0646\u06af\u0644\u06cc\u0633\u06cc<\/td>\n<\/tr>\n
\u0641\u0631\u0645\u062a \u0645\u0642\u0627\u0644\u0647: <\/td>\nPDF<\/td>\n<\/tr>\n
\u062a\u0639\u062f\u0627\u062f \u0635\u0641\u062d\u0627\u062a<\/td>\n48<\/td>\n<\/tr>\n
\u062f\u0633\u062a\u0647 \u0628\u0646\u062f\u06cc \u0645\u0648\u0636\u0648\u0639\u0627\u062a <\/td>\nGeneral Economics,\u0627\u0642\u062a\u0635\u0627\u062f \u0639\u0645\u0648\u0645\u06cc ,<\/td>\n<\/tr>\n
\u062a\u0648\u0636\u06cc\u062d\u0627\u062a <\/td>\nSubmitted 18 January, 2024; originally announced January 2024. , MSC Class: 91; 90; 65 ACM Class: G.3; J.4; I.6<\/td>\n<\/tr>\n
\u062a\u0648\u0636\u06cc\u062d\u0627\u062a \u0628\u0647 \u0641\u0627\u0631\u0633\u06cc <\/td>\n\u0627\u0631\u0627\u0626\u0647 \u0634\u062f\u0647 \u062f\u0631 18 \u0698\u0627\u0646\u0648\u06cc\u0647 2024 \u061b\u062f\u0631 \u0627\u0628\u062a\u062f\u0627 \u0698\u0627\u0646\u0648\u06cc\u0647 2024 \u0627\u0639\u0644\u0627\u0645 \u0634\u062f \u060c \u06a9\u0644\u0627\u0633 MSC: 91 \u061b90 \u061b\u06a9\u0644\u0627\u0633 65 ACM: G.3 \u061bJ.4 \u061bi.6<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\u0686\u06a9\u06cc\u062f\u0647<\/h2>\n

Discrete choice models with social interactions or spillovers may exhibit multiple equilibria. This paper provides a systematic approach to enumerating them for a quantitative spatial model with discrete locations, social interactions, and elastic housing supply. The approach relies on two homotopies. A homotopy is a smooth function that transforms the solutions of a simpler city where solutions are known, to a city with heterogeneous locations and finite supply elasticity. The first homotopy is that, in the set of cities with perfectly elastic floor surface supply, an economy with heterogeneous locations is homotopic to an economy with homogeneous locations, whose solutions can be comprehensively enumerated. Such an economy is epsilon close to an economy whose equilibria are the zeros of a system of polynomials. This is a well-studied area of mathematics where the enumeration of equilibria can be guaranteed. The second homotopy is that a city with perfectly elastic housing supply is homotopic to a city with an arbitrary supply elasticity. In a small number of cases, the path may bifurcate and a single path yields two or more equilibria. By running the method on thousands of cities, we obtain a large number of equilibria. Each equilibrium has different population distributions. We provide a method that is computationally feasible for economies with a large number of locations choices, with an empirical application to the City of Chicago. There exist multiple “counterfactual Chicagos” consistent with the estimated parameters. Population distribution, prices, and welfare are not uniquely pinned down by amenities. The paper’s method can be applied to models in trade and IO. Further applications of algebraic geometry are suggested.<\/p>\n

\u0686\u06a9\u06cc\u062f\u0647 \u0628\u0647 \u0641\u0627\u0631\u0633\u06cc (\u062a\u0631\u062c\u0645\u0647 \u0645\u0627\u0634\u06cc\u0646\u06cc)<\/h2>\n

\u0645\u062f\u0644 \u0647\u0627\u06cc \u0627\u0646\u062a\u062e\u0627\u0628 \u06af\u0633\u0633\u062a\u0647 \u0628\u0627 \u062a\u0639\u0627\u0645\u0644 \u0627\u062c\u062a\u0645\u0627\u0639\u06cc \u06cc\u0627 \u0633\u0631\u0631\u06cc\u0632 \u0645\u0645\u06a9\u0646 \u0627\u0633\u062a \u062a\u0639\u0627\u062f\u0644 \u0686\u0646\u062f\u06af\u0627\u0646\u0647 \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u0646\u062f.\u062f\u0631 \u0627\u06cc\u0646 \u0645\u0642\u0627\u0644\u0647 \u06cc\u06a9 \u0631\u0648\u06cc\u06a9\u0631\u062f \u0633\u06cc\u0633\u062a\u0645\u0627\u062a\u06cc\u06a9 \u0628\u0631\u0627\u06cc \u0634\u0645\u0627\u0631\u0634 \u0622\u0646\u0647\u0627 \u0628\u0631\u0627\u06cc \u06cc\u06a9 \u0645\u062f\u0644 \u0645\u06a9\u0627\u0646\u06cc \u06a9\u0645\u06cc \u0628\u0627 \u0645\u06a9\u0627\u0646 \u0647\u0627\u06cc \u06af\u0633\u0633\u062a\u0647 \u060c \u062a\u0639\u0627\u0645\u0644 \u0627\u062c\u062a\u0645\u0627\u0639\u06cc \u0648 \u062a\u0623\u0645\u06cc\u0646 \u0645\u0633\u06a9\u0646 \u0627\u0644\u0627\u0633\u062a\u06cc\u06a9 \u0627\u0631\u0627\u0626\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a.\u0627\u06cc\u0646 \u0631\u0648\u06cc\u06a9\u0631\u062f \u0628\u0647 \u062f\u0648 \u0647\u0645\u0648\u062a\u0648\u067e\u06cc \u0645\u062a\u06a9\u06cc \u0627\u0633\u062a.\u0647\u0645\u0648\u062a\u0648\u067e\u06cc \u06cc\u06a9 \u0639\u0645\u0644\u06a9\u0631\u062f \u0635\u0627\u0641 \u0627\u0633\u062a \u06a9\u0647 \u0631\u0627\u0647 \u062d\u0644 \u0647\u0627\u06cc \u06cc\u06a9 \u0634\u0647\u0631 \u0633\u0627\u062f\u0647 \u062a\u0631 \u0631\u0627 \u06a9\u0647 \u062f\u0631 \u0622\u0646 \u0631\u0627\u0647 \u062d\u0644 \u0647\u0627 \u0634\u0646\u0627\u062e\u062a\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a \u060c \u0628\u0647 \u0634\u0647\u0631\u06cc \u0628\u0627 \u0645\u06a9\u0627\u0646 \u0647\u0627\u06cc \u0646\u0627\u0647\u0645\u06af\u0646 \u0648 \u06a9\u0634\u0634 \u0639\u0631\u0636\u0647 \u0645\u062d\u062f\u0648\u062f \u062a\u0628\u062f\u06cc\u0644 \u0645\u06cc \u06a9\u0646\u062f.\u0627\u0648\u0644\u06cc\u0646 \u0647\u0645\u0648\u062a\u0648\u067e\u06cc \u0627\u06cc\u0646 \u0627\u0633\u062a \u06a9\u0647 \u060c \u062f\u0631 \u0645\u062c\u0645\u0648\u0639\u0647 \u0627\u06cc \u0627\u0632 \u0634\u0647\u0631\u0647\u0627\u06cc\u06cc \u06a9\u0647 \u062f\u0627\u0631\u0627\u06cc \u0633\u0637\u062d \u06a9\u0627\u0645\u0644\u0627\u064b \u0627\u0644\u0627\u0633\u062a\u06cc\u06a9 \u0647\u0633\u062a\u0646\u062f \u060c \u0627\u0642\u062a\u0635\u0627\u062f \u0628\u0627 \u0645\u06a9\u0627\u0646 \u0647\u0627\u06cc \u0646\u0627\u0647\u0645\u06af\u0646 \u0628\u0631\u0627\u06cc \u0627\u0642\u062a\u0635\u0627\u062f \u0628\u0627 \u0645\u06a9\u0627\u0646\u0647\u0627\u06cc \u0647\u0645\u06af\u0646 \u060c \u0647\u0645\u0648\u062a\u0648\u067e\u06cc \u0627\u0633\u062a \u060c \u06a9\u0647 \u0631\u0627\u0647 \u062d\u0644 \u0647\u0627\u06cc \u0622\u0646\u0647\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646\u062f \u0628\u0647 \u0637\u0648\u0631 \u06a9\u0627\u0645\u0644 \u0634\u0645\u0627\u0631\u0634 \u0634\u0648\u062f.\u0686\u0646\u06cc\u0646 \u0627\u0642\u062a\u0635\u0627\u062f\u06cc \u0627\u067e\u0633\u06cc\u0644\u0648\u0646 \u0646\u0632\u062f\u06cc\u06a9 \u0628\u0647 \u0627\u0642\u062a\u0635\u0627\u062f\u06cc \u0627\u0633\u062a \u06a9\u0647 \u062a\u0639\u0627\u062f\u0644 \u0622\u0646 \u0635\u0641\u0631\u0647\u0627\u06cc \u0633\u06cc\u0633\u062a\u0645 \u0686\u0646\u062f \u062c\u0645\u0644\u0647 \u0627\u06cc \u0627\u0633\u062a.\u0627\u06cc\u0646 \u06cc\u06a9 \u0645\u0646\u0637\u0642\u0647 \u062e\u0648\u0628 \u0627\u0632 \u0631\u06cc\u0627\u0636\u06cc\u0627\u062a \u0627\u0633\u062a \u06a9\u0647 \u062f\u0631 \u0622\u0646 \u0645\u06cc \u062a\u0648\u0627\u0646 \u0634\u0645\u0627\u0631\u0634 \u062a\u0639\u0627\u062f\u0644 \u0631\u0627 \u062a\u0636\u0645\u06cc\u0646 \u06a9\u0631\u062f.\u062f\u0648\u0645\u06cc\u0646 \u0647\u0645\u0648\u062a\u0648\u067e\u06cc \u0627\u06cc\u0646 \u0627\u0633\u062a \u06a9\u0647 \u0634\u0647\u0631\u06cc \u06a9\u0647 \u062f\u0627\u0631\u0627\u06cc \u0645\u0646\u0628\u0639 \u0645\u0633\u06a9\u0646 \u06a9\u0627\u0645\u0644\u0627\u064b \u0627\u0644\u0627\u0633\u062a\u06cc\u06a9 \u0627\u0633\u062a \u060c \u0647\u0645\u062a\u0648\u067e\u06cc\u06a9 \u0628\u0647 \u0634\u0647\u0631\u06cc \u0628\u0627 \u062e\u0627\u0635\u06cc\u062a \u062e\u0627\u0635\u06cc\u062a \u0639\u0631\u0636\u0647 \u062e\u0648\u062f\u0633\u0631\u0627\u0646\u0647 \u0627\u0633\u062a.\u062f\u0631 \u062a\u0639\u062f\u0627\u062f \u06a9\u0645\u06cc \u0627\u0632 \u0645\u0648\u0627\u0631\u062f \u060c \u0645\u0633\u06cc\u0631 \u0645\u0645\u06a9\u0646 \u0627\u0633\u062a \u0634\u06a9\u0627\u0641 \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u062f \u0648 \u06cc\u06a9 \u0645\u0633\u06cc\u0631 \u0648\u0627\u062d\u062f \u062f\u0648 \u06cc\u0627 \u0686\u0646\u062f \u062a\u0639\u0627\u062f\u0644 \u0631\u0627 \u0628\u0647 \u0647\u0645\u0631\u0627\u0647 \u062f\u0627\u0631\u062f.\u0628\u0627 \u0627\u062c\u0631\u0627\u06cc \u0631\u0648\u0634 \u062f\u0631 \u0647\u0632\u0627\u0631\u0627\u0646 \u0634\u0647\u0631 \u060c \u062a\u0639\u062f\u0627\u062f \u0632\u06cc\u0627\u062f\u06cc \u062a\u0639\u0627\u062f\u0644 \u0631\u0627 \u0628\u062f\u0633\u062a \u0645\u06cc \u0622\u0648\u0631\u06cc\u0645.\u0647\u0631 \u062a\u0639\u0627\u062f\u0644 \u062a\u0648\u0632\u06cc\u0639 \u062c\u0645\u0639\u06cc\u062a \u0645\u062a\u0641\u0627\u0648\u062a\u06cc \u062f\u0627\u0631\u062f.\u0645\u0627 \u0631\u0648\u0634\u06cc \u0631\u0627 \u0627\u0631\u0627\u0626\u0647 \u0645\u06cc \u062f\u0647\u06cc\u0645 \u06a9\u0647 \u0627\u0632 \u0646\u0638\u0631 \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc \u0628\u0631\u0627\u06cc \u0627\u0642\u062a\u0635\u0627\u062f\u0647\u0627 \u0628\u0627 \u062a\u0639\u062f\u0627\u062f \u0632\u06cc\u0627\u062f\u06cc \u0627\u0632 \u0645\u06a9\u0627\u0646 \u0647\u0627 \u060c \u0628\u0627 \u06cc\u06a9 \u06a9\u0627\u0631\u0628\u0631\u062f \u062a\u062c\u0631\u0628\u06cc \u062f\u0631 \u0634\u0647\u0631 \u0634\u06cc\u06a9\u0627\u06af\u0648 \u0627\u0645\u06a9\u0627\u0646 \u067e\u0630\u06cc\u0631 \u0627\u0633\u062a.\u0686\u0646\u062f\u06cc\u0646 “` counterfactual chicagos “\u0633\u0627\u0632\u06af\u0627\u0631 \u0628\u0627 \u067e\u0627\u0631\u0627\u0645\u062a\u0631\u0647\u0627\u06cc \u062a\u062e\u0645\u06cc\u0646 \u0632\u062f\u0647 \u0634\u062f\u0647 \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f.\u062a\u0648\u0632\u06cc\u0639 \u062c\u0645\u0639\u06cc\u062a \u060c \u0642\u06cc\u0645\u062a \u0647\u0627 \u0648 \u0631\u0641\u0627\u0647 \u0628\u0647 \u0637\u0648\u0631 \u0645\u0646\u062d\u0635\u0631 \u0628\u0647 \u0641\u0631\u062f \u0628\u0627 \u0627\u0645\u06a9\u0627\u0646\u0627\u062a \u0642\u0627\u0628\u0644 \u062a\u0648\u062c\u0647 \u0646\u06cc\u0633\u062a.\u0631\u0648\u0634 \u0645\u0642\u0627\u0644\u0647 \u0631\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646 \u0628\u0631\u0627\u06cc \u0645\u062f\u0644 \u0647\u0627\u06cc \u062a\u062c\u0627\u0631\u062a \u0648 IO \u0627\u0639\u0645\u0627\u0644 \u06a9\u0631\u062f.\u06a9\u0627\u0631\u0628\u0631\u062f\u0647\u0627\u06cc \u0628\u06cc\u0634\u062a\u0631 \u0647\u0646\u062f\u0633\u0647 \u062c\u0628\u0631\u06cc \u067e\u06cc\u0634\u0646\u0647\u0627\u062f \u0634\u062f\u0647 \u0627\u0633\u062a.<\/p>\n\r\n\r\n\t\r\n\t
\r\n\t\u062a\u0648\u062c\u0647 \u06a9\u0646\u06cc\u062f \u0627\u06cc\u0646 \u0645\u0642\u0627\u0644\u0647 \u0628\u0647 \u0632\u0628\u0627\u0646 \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc \u0627\u0633\u062a.\r\n\t<\/td>\r\n<\/tr>\r\n\t\r\n
\r\n \u0628\u0631\u0627\u06cc \u0633\u0641\u0627\u0631\u0634 \u062a\u0631\u062c\u0645\u0647 \u0627\u06cc\u0646 \u0645\u0642\u0627\u0644\u0647 \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f \u0628\u0647 \u06cc\u06a9\u06cc \u0627\u0632 \u0631\u0648\u0634 \u0647\u0627\u06cc \u062a\u0645\u0627\u0633\u060c \u067e\u06cc\u0627\u0645\u06a9\u060c \u062a\u0644\u06af\u0631\u0627\u0645 \u0648 \u06cc\u0627 \u0648\u0627\u062a\u0633 \u0627\u067e \u0628\u0627 \u0634\u0645\u0627\u0631\u0647 \u0632\u06cc\u0631 \u062a\u0645\u0627\u0633 \u0628\u06af\u06cc\u0631\u06cc\u062f:\r\n\t

\r\n\t09395106248\r\n\t\t\r\n\t\t\r\n\t

\r\n\t\t\u062a\u0648\u062c\u0647 \u06a9\u0646\u06cc\u062f \u06a9\u0647 \u0634\u0631\u0627\u06cc\u0637 \u062a\u0631\u062c\u0645\u0647 \u0628\u0647 \u0635\u0648\u0631\u062a \u0632\u06cc\u0631 \u0627\u0633\u062a:\r\n\t\t
\r\n\t\t
    \r\n\t\t
  • \r\n\t\t\u0642\u06cc\u0645\u062a \u0647\u0631 \u0635\u0641\u062d\u0647 \u062a\u0631\u062c\u0645\u0647 \u062f\u0631 \u062d\u0627\u0644 \u062d\u0627\u0636\u0631 40 \u0647\u0632\u0627\u0631 \u062a\u0648\u0645\u0627\u0646 \u0645\u06cc \u0628\u0627\u0634\u062f. \r\n\t\t<\/li>\r\n\t\t
  • \r\n\t\t\u062a\u062d\u0648\u06cc\u0644 \u0645\u0642\u0627\u0644\u0647 \u062a\u0631\u062c\u0645\u0647 \u0634\u062f\u0647 \u0628\u0647 \u0635\u0648\u0631\u062a \u0641\u0627\u06cc\u0644 \u0648\u0631\u062f \u0645\u06cc \u0628\u0627\u0634\u062f.\r\n\t\t<\/li>\r\n\t\t
  • \r\n\t\t\u0632\u0645\u0627\u0646 \u062a\u062d\u0648\u06cc\u0644 \u062a\u0631\u062c\u0645\u0647 \u0645\u0642\u0627\u0644\u0647 \u062f\u0631 \u0635\u0648\u0631\u062a \u062f\u0627\u0634\u062a\u0646 \u062a\u0639\u062f\u0627\u062f \u0635\u0641\u062d\u0627\u062a \u0639\u0627\u062f\u06cc \u0628\u06cc\u0646 3 \u062a\u0627 5 \u0631\u0648\u0632 \u062e\u0648\u0627\u0647\u062f \u0628\u0648\u062f.\r\n\t\t<\/li>\r\n\t\t\r\n\t\t
  • \r\n\t\t\u06a9\u06cc\u0641\u06cc\u062a \u062a\u0631\u062c\u0645\u0647 \u0628\u0633\u06cc\u0627\u0631 \u0628\u0627\u0644\u0627 \u0645\u06cc \u0628\u0627\u0634\u062f. \u0645\u0642\u0627\u0644\u0647 \u0641\u0642\u0637 \u062a\u0648\u0633\u0637 \u0645\u062a\u0631\u062c\u0645\u06cc\u0646 \u0628\u0627 \u0645\u062f\u0631\u06a9 \u062f\u0627\u0646\u0634\u06af\u0627\u0647\u06cc \u0645\u062a\u0631\u062c\u0645\u06cc \u062a\u0631\u062c\u0645\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f.\r\n\t\t<\/li>\r\n\t\t
  • \r\n\t\t\u06a9\u0644\u06cc\u0647 \u062c\u062f\u0627\u0648\u0644 \u0648 \u0641\u0631\u0645\u0648\u0644 \u0647\u0627 \u0646\u06cc\u0632 \u062f\u0631 \u0641\u0627\u06cc\u0644 \u062a\u062d\u0648\u06cc\u0644\u06cc \u0648\u0631\u062f \u062f\u0631\u062c \u0645\u06cc\u200c\u0634\u0648\u0646\u062f.\r\n\t\t<\/li>\r\n\t<\/td>\r\n\t\r\n\t\r\n<\/tr>\r\n<\/table>\r\n\r\n\r\n\n","protected":false},"excerpt":{"rendered":"

    \u0639\u0646\u0648\u0627\u0646 \u0645\u0642\u0627\u0644\u0647 \u0628\u0647 \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc Equilibrium Multiplicity: A Systematic Approach using Homotopies, with an Application to Chicago \u0639\u0646\u0648\u0627\u0646 \u0645\u0642\u0627\u0644\u0647 \u0628\u0647 \u0641\u0627\u0631\u0633\u06cc […]<\/p>\n","protected":false},"featured_media":27,"comment_status":"open","ping_status":"closed","template":"","meta":{"pmpro_default_level":"","site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}}},"product_cat":[15,21],"product_tag":[477,478],"class_list":{"0":"post-27126","1":"product","2":"type-product","3":"status-publish","4":"has-post-thumbnail","6":"product_cat-15","7":"product_cat-21","8":"product_tag-general-economics","9":"product_tag-478","10":"pmpro-has-access","11":"desktop-align-left","12":"tablet-align-left","13":"mobile-align-left","15":"first","16":"instock","17":"shipping-taxable","18":"purchasable","19":"product-type-variable"},"yoast_head":"\n\u0645\u0642\u0627\u0644\u0647 \u062a\u0639\u0627\u062f\u0644 \u062a\u0639\u0627\u062f\u0644: \u06cc\u06a9 \u0631\u0648\u06cc\u06a9\u0631\u062f \u0633\u06cc\u0633\u062a\u0645\u0627\u062a\u06cc\u06a9 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0647\u0645\u0648\u062a\u0648\u067e\u06cc \u0647\u0627 \u060c \u0628\u0627 \u06a9\u0627\u0631\u0628\u0631\u062f\u06cc \u062f\u0631 \u0634\u06cc\u06a9\u0627\u06af\u0648 - \u0641\u0631\u0648\u0634\u06af\u0627\u0647 \u0627\u06a9\u0633\u067e\u0631\u0633<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/express24.ir\/d\/product\/\u0645\u0642\u0627\u0644\u0647-\u062a\u0639\u0627\u062f\u0644-\u062a\u0639\u0627\u062f\u0644-\u06cc\u06a9-\u0631\u0648\u06cc\u06a9\u0631\u062f-\u0633\u06cc\u0633\u062a\u0645\u0627\u062a\u06cc\u06a9\/\" \/>\n<meta property=\"og:locale\" content=\"fa_IR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u0645\u0642\u0627\u0644\u0647 \u062a\u0639\u0627\u062f\u0644 \u062a\u0639\u0627\u062f\u0644: \u06cc\u06a9 \u0631\u0648\u06cc\u06a9\u0631\u062f \u0633\u06cc\u0633\u062a\u0645\u0627\u062a\u06cc\u06a9 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0647\u0645\u0648\u062a\u0648\u067e\u06cc \u0647\u0627 \u060c \u0628\u0627 \u06a9\u0627\u0631\u0628\u0631\u062f\u06cc \u062f\u0631 \u0634\u06cc\u06a9\u0627\u06af\u0648 - \u0641\u0631\u0648\u0634\u06af\u0627\u0647 \u0627\u06a9\u0633\u067e\u0631\u0633\" \/>\n<meta property=\"og:description\" content=\"\u0639\u0646\u0648\u0627\u0646 \u0645\u0642\u0627\u0644\u0647 \u0628\u0647 \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc Equilibrium Multiplicity: A Systematic Approach using Homotopies, with an Application to Chicago \u0639\u0646\u0648\u0627\u0646 \u0645\u0642\u0627\u0644\u0647 \u0628\u0647 \u0641\u0627\u0631\u0633\u06cc […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/express24.ir\/d\/product\/\u0645\u0642\u0627\u0644\u0647-\u062a\u0639\u0627\u062f\u0644-\u062a\u0639\u0627\u062f\u0644-\u06cc\u06a9-\u0631\u0648\u06cc\u06a9\u0631\u062f-\u0633\u06cc\u0633\u062a\u0645\u0627\u062a\u06cc\u06a9\/\" \/>\n<meta property=\"og:site_name\" content=\"\u0641\u0631\u0648\u0634\u06af\u0627\u0647 \u0627\u06a9\u0633\u067e\u0631\u0633\" \/>\n<meta property=\"og:image\" content=\"https:\/\/express24.ir\/d\/wp-content\/uploads\/2024\/02\/Elsevier_logo_2019.svg_.png\" \/>\n\t<meta property=\"og:image:width\" content=\"440\" \/>\n\t<meta property=\"og:image:height\" content=\"486\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u0632\u0645\u0627\u0646 \u062a\u0642\u0631\u06cc\u0628\u06cc \u0628\u0631\u0627\u06cc \u062e\u0648\u0627\u0646\u062f\u0646\" \/>\n\t<meta name=\"twitter:data1\" content=\"2 \u062f\u0642\u06cc\u0642\u0647\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/express24.ir\/d\/product\/%d9%85%d9%82%d8%a7%d9%84%d9%87-%d8%aa%d8%b9%d8%a7%d8%af%d9%84-%d8%aa%d8%b9%d8%a7%d8%af%d9%84-%db%8c%da%a9-%d8%b1%d9%88%db%8c%da%a9%d8%b1%d8%af-%d8%b3%db%8c%d8%b3%d8%aa%d9%85%d8%a7%d8%aa%db%8c%da%a9\/\",\"url\":\"https:\/\/express24.ir\/d\/product\/%d9%85%d9%82%d8%a7%d9%84%d9%87-%d8%aa%d8%b9%d8%a7%d8%af%d9%84-%d8%aa%d8%b9%d8%a7%d8%af%d9%84-%db%8c%da%a9-%d8%b1%d9%88%db%8c%da%a9%d8%b1%d8%af-%d8%b3%db%8c%d8%b3%d8%aa%d9%85%d8%a7%d8%aa%db%8c%da%a9\/\",\"name\":\"\u0645\u0642\u0627\u0644\u0647 \u062a\u0639\u0627\u062f\u0644 \u062a\u0639\u0627\u062f\u0644: \u06cc\u06a9 \u0631\u0648\u06cc\u06a9\u0631\u062f \u0633\u06cc\u0633\u062a\u0645\u0627\u062a\u06cc\u06a9 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0647\u0645\u0648\u062a\u0648\u067e\u06cc \u0647\u0627 \u060c \u0628\u0627 \u06a9\u0627\u0631\u0628\u0631\u062f\u06cc \u062f\u0631 \u0634\u06cc\u06a9\u0627\u06af\u0648 - \u0641\u0631\u0648\u0634\u06af\u0627\u0647 \u0627\u06a9\u0633\u067e\u0631\u0633\",\"isPartOf\":{\"@id\":\"https:\/\/express24.ir\/d\/#website\"},\"datePublished\":\"2024-02-29T05:19:20+00:00\",\"dateModified\":\"2024-02-29T05:19:20+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/express24.ir\/d\/product\/%d9%85%d9%82%d8%a7%d9%84%d9%87-%d8%aa%d8%b9%d8%a7%d8%af%d9%84-%d8%aa%d8%b9%d8%a7%d8%af%d9%84-%db%8c%da%a9-%d8%b1%d9%88%db%8c%da%a9%d8%b1%d8%af-%d8%b3%db%8c%d8%b3%d8%aa%d9%85%d8%a7%d8%aa%db%8c%da%a9\/#breadcrumb\"},\"inLanguage\":\"fa-IR\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/express24.ir\/d\/product\/%d9%85%d9%82%d8%a7%d9%84%d9%87-%d8%aa%d8%b9%d8%a7%d8%af%d9%84-%d8%aa%d8%b9%d8%a7%d8%af%d9%84-%db%8c%da%a9-%d8%b1%d9%88%db%8c%da%a9%d8%b1%d8%af-%d8%b3%db%8c%d8%b3%d8%aa%d9%85%d8%a7%d8%aa%db%8c%da%a9\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/express24.ir\/d\/product\/%d9%85%d9%82%d8%a7%d9%84%d9%87-%d8%aa%d8%b9%d8%a7%d8%af%d9%84-%d8%aa%d8%b9%d8%a7%d8%af%d9%84-%db%8c%da%a9-%d8%b1%d9%88%db%8c%da%a9%d8%b1%d8%af-%d8%b3%db%8c%d8%b3%d8%aa%d9%85%d8%a7%d8%aa%db%8c%da%a9\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"\u062e\u0627\u0646\u0647\",\"item\":\"https:\/\/express24.ir\/d\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\u0641\u0631\u0648\u0634\u06af\u0627\u0647\",\"item\":\"https:\/\/express24.ir\/d\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"\u0645\u0642\u0627\u0644\u0647 \u062a\u0639\u0627\u062f\u0644 \u062a\u0639\u0627\u062f\u0644: \u06cc\u06a9 \u0631\u0648\u06cc\u06a9\u0631\u062f \u0633\u06cc\u0633\u062a\u0645\u0627\u062a\u06cc\u06a9 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0647\u0645\u0648\u062a\u0648\u067e\u06cc \u0647\u0627 \u060c \u0628\u0627 \u06a9\u0627\u0631\u0628\u0631\u062f\u06cc \u062f\u0631 \u0634\u06cc\u06a9\u0627\u06af\u0648\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/express24.ir\/d\/#website\",\"url\":\"https:\/\/express24.ir\/d\/\",\"name\":\"\u0641\u0631\u0648\u0634\u06af\u0627\u0647 \u0627\u06a9\u0633\u067e\u0631\u0633\",\"description\":\"\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/express24.ir\/d\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"fa-IR\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u0645\u0642\u0627\u0644\u0647 \u062a\u0639\u0627\u062f\u0644 \u062a\u0639\u0627\u062f\u0644: \u06cc\u06a9 \u0631\u0648\u06cc\u06a9\u0631\u062f \u0633\u06cc\u0633\u062a\u0645\u0627\u062a\u06cc\u06a9 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0647\u0645\u0648\u062a\u0648\u067e\u06cc \u0647\u0627 \u060c \u0628\u0627 \u06a9\u0627\u0631\u0628\u0631\u062f\u06cc \u062f\u0631 \u0634\u06cc\u06a9\u0627\u06af\u0648 - \u0641\u0631\u0648\u0634\u06af\u0627\u0647 \u0627\u06a9\u0633\u067e\u0631\u0633","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/express24.ir\/d\/product\/\u0645\u0642\u0627\u0644\u0647-\u062a\u0639\u0627\u062f\u0644-\u062a\u0639\u0627\u062f\u0644-\u06cc\u06a9-\u0631\u0648\u06cc\u06a9\u0631\u062f-\u0633\u06cc\u0633\u062a\u0645\u0627\u062a\u06cc\u06a9\/","og_locale":"fa_IR","og_type":"article","og_title":"\u0645\u0642\u0627\u0644\u0647 \u062a\u0639\u0627\u062f\u0644 \u062a\u0639\u0627\u062f\u0644: \u06cc\u06a9 \u0631\u0648\u06cc\u06a9\u0631\u062f \u0633\u06cc\u0633\u062a\u0645\u0627\u062a\u06cc\u06a9 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0647\u0645\u0648\u062a\u0648\u067e\u06cc \u0647\u0627 \u060c \u0628\u0627 \u06a9\u0627\u0631\u0628\u0631\u062f\u06cc \u062f\u0631 \u0634\u06cc\u06a9\u0627\u06af\u0648 - \u0641\u0631\u0648\u0634\u06af\u0627\u0647 \u0627\u06a9\u0633\u067e\u0631\u0633","og_description":"\u0639\u0646\u0648\u0627\u0646 \u0645\u0642\u0627\u0644\u0647 \u0628\u0647 \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc Equilibrium Multiplicity: A Systematic Approach using Homotopies, with an Application to Chicago \u0639\u0646\u0648\u0627\u0646 \u0645\u0642\u0627\u0644\u0647 \u0628\u0647 \u0641\u0627\u0631\u0633\u06cc […]","og_url":"https:\/\/express24.ir\/d\/product\/\u0645\u0642\u0627\u0644\u0647-\u062a\u0639\u0627\u062f\u0644-\u062a\u0639\u0627\u062f\u0644-\u06cc\u06a9-\u0631\u0648\u06cc\u06a9\u0631\u062f-\u0633\u06cc\u0633\u062a\u0645\u0627\u062a\u06cc\u06a9\/","og_site_name":"\u0641\u0631\u0648\u0634\u06af\u0627\u0647 \u0627\u06a9\u0633\u067e\u0631\u0633","og_image":[{"width":440,"height":486,"url":"https:\/\/express24.ir\/d\/wp-content\/uploads\/2024\/02\/Elsevier_logo_2019.svg_.png","type":"image\/png"}],"twitter_card":"summary_large_image","twitter_misc":{"\u0632\u0645\u0627\u0646 \u062a\u0642\u0631\u06cc\u0628\u06cc \u0628\u0631\u0627\u06cc \u062e\u0648\u0627\u0646\u062f\u0646":"2 \u062f\u0642\u06cc\u0642\u0647"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/express24.ir\/d\/product\/%d9%85%d9%82%d8%a7%d9%84%d9%87-%d8%aa%d8%b9%d8%a7%d8%af%d9%84-%d8%aa%d8%b9%d8%a7%d8%af%d9%84-%db%8c%da%a9-%d8%b1%d9%88%db%8c%da%a9%d8%b1%d8%af-%d8%b3%db%8c%d8%b3%d8%aa%d9%85%d8%a7%d8%aa%db%8c%da%a9\/","url":"https:\/\/express24.ir\/d\/product\/%d9%85%d9%82%d8%a7%d9%84%d9%87-%d8%aa%d8%b9%d8%a7%d8%af%d9%84-%d8%aa%d8%b9%d8%a7%d8%af%d9%84-%db%8c%da%a9-%d8%b1%d9%88%db%8c%da%a9%d8%b1%d8%af-%d8%b3%db%8c%d8%b3%d8%aa%d9%85%d8%a7%d8%aa%db%8c%da%a9\/","name":"\u0645\u0642\u0627\u0644\u0647 \u062a\u0639\u0627\u062f\u0644 \u062a\u0639\u0627\u062f\u0644: \u06cc\u06a9 \u0631\u0648\u06cc\u06a9\u0631\u062f \u0633\u06cc\u0633\u062a\u0645\u0627\u062a\u06cc\u06a9 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0647\u0645\u0648\u062a\u0648\u067e\u06cc \u0647\u0627 \u060c \u0628\u0627 \u06a9\u0627\u0631\u0628\u0631\u062f\u06cc \u062f\u0631 \u0634\u06cc\u06a9\u0627\u06af\u0648 - \u0641\u0631\u0648\u0634\u06af\u0627\u0647 \u0627\u06a9\u0633\u067e\u0631\u0633","isPartOf":{"@id":"https:\/\/express24.ir\/d\/#website"},"datePublished":"2024-02-29T05:19:20+00:00","dateModified":"2024-02-29T05:19:20+00:00","breadcrumb":{"@id":"https:\/\/express24.ir\/d\/product\/%d9%85%d9%82%d8%a7%d9%84%d9%87-%d8%aa%d8%b9%d8%a7%d8%af%d9%84-%d8%aa%d8%b9%d8%a7%d8%af%d9%84-%db%8c%da%a9-%d8%b1%d9%88%db%8c%da%a9%d8%b1%d8%af-%d8%b3%db%8c%d8%b3%d8%aa%d9%85%d8%a7%d8%aa%db%8c%da%a9\/#breadcrumb"},"inLanguage":"fa-IR","potentialAction":[{"@type":"ReadAction","target":["https:\/\/express24.ir\/d\/product\/%d9%85%d9%82%d8%a7%d9%84%d9%87-%d8%aa%d8%b9%d8%a7%d8%af%d9%84-%d8%aa%d8%b9%d8%a7%d8%af%d9%84-%db%8c%da%a9-%d8%b1%d9%88%db%8c%da%a9%d8%b1%d8%af-%d8%b3%db%8c%d8%b3%d8%aa%d9%85%d8%a7%d8%aa%db%8c%da%a9\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/express24.ir\/d\/product\/%d9%85%d9%82%d8%a7%d9%84%d9%87-%d8%aa%d8%b9%d8%a7%d8%af%d9%84-%d8%aa%d8%b9%d8%a7%d8%af%d9%84-%db%8c%da%a9-%d8%b1%d9%88%db%8c%da%a9%d8%b1%d8%af-%d8%b3%db%8c%d8%b3%d8%aa%d9%85%d8%a7%d8%aa%db%8c%da%a9\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"\u062e\u0627\u0646\u0647","item":"https:\/\/express24.ir\/d\/"},{"@type":"ListItem","position":2,"name":"\u0641\u0631\u0648\u0634\u06af\u0627\u0647","item":"https:\/\/express24.ir\/d\/"},{"@type":"ListItem","position":3,"name":"\u0645\u0642\u0627\u0644\u0647 \u062a\u0639\u0627\u062f\u0644 \u062a\u0639\u0627\u062f\u0644: \u06cc\u06a9 \u0631\u0648\u06cc\u06a9\u0631\u062f \u0633\u06cc\u0633\u062a\u0645\u0627\u062a\u06cc\u06a9 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0647\u0645\u0648\u062a\u0648\u067e\u06cc \u0647\u0627 \u060c \u0628\u0627 \u06a9\u0627\u0631\u0628\u0631\u062f\u06cc \u062f\u0631 \u0634\u06cc\u06a9\u0627\u06af\u0648"}]},{"@type":"WebSite","@id":"https:\/\/express24.ir\/d\/#website","url":"https:\/\/express24.ir\/d\/","name":"\u0641\u0631\u0648\u0634\u06af\u0627\u0647 \u0627\u06a9\u0633\u067e\u0631\u0633","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/express24.ir\/d\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"fa-IR"}]}},"_links":{"self":[{"href":"https:\/\/express24.ir\/d\/wp-json\/wp\/v2\/product\/27126","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/express24.ir\/d\/wp-json\/wp\/v2\/product"}],"about":[{"href":"https:\/\/express24.ir\/d\/wp-json\/wp\/v2\/types\/product"}],"replies":[{"embeddable":true,"href":"https:\/\/express24.ir\/d\/wp-json\/wp\/v2\/comments?post=27126"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/express24.ir\/d\/wp-json\/wp\/v2\/media\/27"}],"wp:attachment":[{"href":"https:\/\/express24.ir\/d\/wp-json\/wp\/v2\/media?parent=27126"}],"wp:term":[{"taxonomy":"product_cat","embeddable":true,"href":"https:\/\/express24.ir\/d\/wp-json\/wp\/v2\/product_cat?post=27126"},{"taxonomy":"product_tag","embeddable":true,"href":"https:\/\/express24.ir\/d\/wp-json\/wp\/v2\/product_tag?post=27126"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}