Player-Compatible Equilibrium (PCE) imposes cross-player restrictions on the magnitudes of players' “trembles” onto different strategies. These capture idea that trembles correspond to deliberate experiments by agents who are unsure prevailing distribution play. PCE selects intuitive equilibria in a number examples where trembling-hand perfect equilibrium (Selten, 1975) and proper (Myerson, 197...

in this paper, we prove a common fixed point theorem for six mappings (two set valued and four single valued mappings) without assuming compatibility and continuity of any mapping on non complete metric spaces. to prove the theorem, we use a non compatible condition, that is, weak commutativity of type (kb). we show that completeness of the whole space is not necessary for the existence and uni...

Breeding programs for horticultural tree crops focus on enhancing productivity, including developing tolerance to pests and diseases improving crop quality. Pollination services are often critical production, pollen parents can affect We do not know which produce highest quality offspring or, in self-compatible cultivars, how much of the comes from cross- versus self-pollination. quantified pro...

Loss of pollen-S function in Prunus self-compatible cultivars has been mostly associated with deletions or insertions in the S-haplotype-specific F-box (SFB) genes. However, self-compatible pollen-part mutants defective for non-S-locus factors have also been found, for instance, in the apricot (Prunus armeniaca) cv. 'Canino'. In the present study, we report the genetic and molecular analysis of...