6533b86efe1ef96bd12cb071

RESEARCH PRODUCT

Negative results in the theory of games with lexicographic utilities

Antonio Quesada

subject

TheoryofComputation_MISCELLANEOUSComputer Science::Computer Science and Game TheoryTheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGESComputer Science::Logic in Computer ScienceComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONComputingMilieux_PERSONALCOMPUTINGTheoryofComputation_GENERALlexicographic expected utilityComputer Science::Formal Languages and Automata Theoryjel:C7

description

When players may have lexicographic utilities, there are: (i) extensive games having a non-empty set of equilibria but empty sets of sequentially rational, sequential and perfect equilibria (ii) normal form games having a non-empty set of equilibria but an empty set of proper equilibria and no stable set of equilibria and (iii) two extensive games having the same normal form representation and disjoint sets of sequential equilibria.

http://www.accessecon.com/pubs/EB/2003/Volume3/EB-03C70011A.pdf