Question

Respond to the following questions with a Yes or a No 1) Must scientific models be parsimonious? 2) Does perfect competition amongst firms ensure Pareto efficient feasible resources allocations? 3) Can social welfare be optimised by the market with a non-infinitesimal probability? 4) Is the empty set a subset of all sets? 5) Is a bijective function non-invertible? 6) Is a matrix span a set of vectors generating the matrix space? 7) Are all convergent sequences Cauchy? 8) Are there any compact sets which are not closed and bounded in finite dimensions? 9) Is the functional derivative the continuous time equivalent of the functional difference quotient? 10) Is a stationary point found by setting the function's relevant derivative not equal to zero?

Answer 1

1 Nust Scientitic modn be parsimeniuusYes 2 Does pertet Competition amongsh fims Pane to ettident teasible esourus allocahunc ? Yes ensau Hhe maxkit 3.Can Souial weltare be optimized by intinitesimal pscbabliy NO with non - empty Sut a subsit ot allsats Yes 4. Is the bigoc tive function hon-inverh ble-No 6 s a mot rix Span a set off vectors the matnix Space Yes Convargaut sequnces Caucy Yec 7.Axe alU Seats Which are ATe there any compact nut closed and bounded in tinite dimensions- 9. Is tha tunchonal derivative the cunhinous time eauivalnt ot Yo tient Yes Sterthiomary point tuvnd by eting the tunc tion ala vant deivative not No the tunchio nal diltene eapeal to eo No